#integrals exercise 7.3

[memorysclub]

Tackle all class 12 maths complex questions with NCERT solutions for 12 class maths. Memorysclub provides each question solutions for integrals exercise 7.3 class 12 maths and increases deep understanding of your mathematical foundation and conquering the intricacies of integrals by engaging with this carefully crafted exercise tailored to Class 12 curriculum requirements. Download class 12 ex 7.3 pdf.

[dtgmarketreport]

Stress Tracking Devices Market Size and Forecast 2025-2035

Stress Tracking Devices Market: Industry Outlook

The global Stress Tracking Devices market, valued at USD 2.7 billion in 2024, is projected to reach USD 5.76 billion by 2035, growing at a CAGR of 7.3% during 2025–2035. These devices, equipped with advanced biometric sensors, monitor physiological indicators such as heart rate, skin temperature, and galvanic skin response, providing users with insights into stress triggers and mental well-being.

Market Dynamics

Growth Drivers:

1.Technological Advancements: Wearables are integrating AI, machine learning, and real-time analytics, enabling precise stress tracking and personalized feedback. Features like guided breathing exercises and mindfulness prompts further enhance user experience.

2.Rising Mental Health Awareness: Growing recognition of mental well-being and wellness initiatives drive demand for these devices.

Request sectional data : https://www.metatechinsights.com/industry-insights/stress-tracking-devices-market-1174

Challenges:

1.High Costs: Advanced stress-tracking devices often come with high price tags, limiting accessibility for budget-conscious consumers.

2.Simpler Alternatives: Basic, low-cost devices could impede market growth by competing with more sophisticated options.

Opportunities:

1.AI-Driven Personalization: AI and machine learning enhance device functionality, offering users tailored stress management solutions.

2.Integration with Fitness Programs: Stress tracking combined with fitness routines promotes holistic wellness, creating opportunities in workplace wellness initiatives and fitness-conscious populations. Regional Insights

·North America: The largest market, driven by high mental health awareness and corporate wellness programs. The U.S. leads due to advanced tech adoption and lifestyle-related stress factors. ·Asia-Pacific: The fastest-growing region, fueled by urbanization, increasing disposable incomes, and a growing focus on health and fitness in countries like China, India, and Japan. Competitive Landscape Key players like ŌURA, Fitbit, Garmin, and Apple dominate, leveraging innovations in wearable technology. Recent advancements include OURA’s daytime stress monitoring and EnLiSense’s Corti wearable for hormonal health tracking. Recent Developments ·October 2024: CalmiGo launched a mental health platform for real-time stress tracking. ·April 2024: EnLiSense released Corti, revolutionizing stress hormone monitoring. As wearable technology evolves, stress-tracking devices will continue to play a critical role in mental health management, blending advanced tech with holistic wellness solutions. Get sample report for more detailed report insights  "Stress Tracking Devices Market: Industry Outlook

[mpboardsolutions-blog]

MP Board Class 12th Maths Book Solutions in English Medium

MP Board Class 12th Maths Chapter 1 Relations and Functions

Chapter 1 Relations and Functions Ex 1.1

Chapter 1 Relations and Functions Ex 1.2

Chapter 1 Relations and Functions Ex 1.3

Chapter 1 Relations and Functions Ex 1.4

Chapter 1 Relations and Functions Miscellaneous Exercise

MP Board Class 12th Maths Chapter 2 Inverse Trigonometric Functions

Chapter 2 Inverse Trigonometric Functions Ex 2.1

Chapter 2 Inverse Trigonometric Functions Ex 2.2

Chapter 2 Inverse Trigonometric Functions Miscellaneous Exercise

MP Board Class 12th Maths Chapter 3 Matrices

Chapter 3 Matrices Ex 3.1

Chapter 3 Matrices Ex 3.2

Chapter 3 Matrices Ex 3.3

Chapter 3 Matrices Ex 3.4

Chapter 3 Matrices Miscellaneous Exercise

MP Board Class 12th Maths Chapter 4 Determinants

Chapter 4 Determinants Ex 4.1

Chapter 4 Determinants Ex 4.2

Chapter 4 Determinants Ex 4.3

Chapter 4 Determinants Ex 4.4

Chapter 4 Determinants Ex 4.5

Chapter 4 Determinants Ex 4.6

Chapter 4 Determinants Miscellaneous Exercise

MP Board Class 12th Maths Chapter 5 Continuity and Differentiability

Chapter 5 Continuity and Differentiability Ex 5.1

Chapter 5 Continuity and Differentiability Ex 5.2

Chapter 5 Continuity and Differentiability Ex 5.3

Chapter 5 Continuity and Differentiability Ex 5.4

Chapter 5 Continuity and Differentiability Ex 5.5

Chapter 5 Continuity and Differentiability Ex 5.6

Chapter 5 Continuity and Differentiability Ex 5.7

Chapter 5 Continuity and Differentiability Ex 5.8

Chapter 5 Continuity and Differentiability Miscellaneous Exercise

MP Board Class 12th Maths Chapter 6 Application of Derivatives

Chapter 6 Application of Derivatives Ex 6.1

Chapter 6 Application of Derivatives Ex 6.2

Chapter 6 Application of Derivatives Ex 6.3

Chapter 6 Application of Derivatives Ex 6.4

Chapter 6 Application of Derivatives Ex 6.5

Chapter 6 Application of Derivatives Miscellaneous Exercise

MP Board Class 12th Maths Chapter 7 Integrals

Chapter 7 Integrals Ex 7.1

Chapter 7 Integrals Ex 7.2

Chapter 7 Integrals Ex 7.3

Chapter 7 Integrals Ex 7.4

Chapter 7 Integrals Ex 7.5

Chapter 7 Integrals Ex 7.6

Chapter 7 Integrals Ex 7.7

Chapter 7 Integrals Ex 7.8

Chapter 7 Integrals Ex 7.9

Chapter 7 Integrals Ex 7.10

Chapter 7 Integrals Ex 7.11

Chapter 7 Integrals Miscellaneous Exercise

MP Board Class 12th Maths Chapter 8 Application of Integrals

Chapter 8 Application of Integrals Ex 8.1

Chapter 8 Application of Integrals Ex 8.2

Chapter 8 Application of Integrals Miscellaneous Exercise

MP Board Class 12th Maths Chapter 9 Differential Equations

Chapter 9 Differential Equations Ex 9.1

Chapter 9 Differential Equations Ex 9.2

Chapter 9 Differential Equations Ex 9.3

Chapter 9 Differential Equations Ex 9.4

Chapter 9 Differential Equations Ex 9.5

Chapter 9 Differential Equations Ex 9.6

Chapter 9 Differential Equations Miscellaneous Exercise

MP Board Class 12th Maths Chapter 10 Vector Algebra

Chapter 10 Vector Algebra Ex 10.1

Chapter 10 Vector Algebra Ex 10.2

Chapter 10 Vector Algebra Ex 10.3

Chapter 10 Vector Algebra Ex 10.4

Chapter 10 Vector Algebra Miscellaneous Exercise

MP Board Class 12th Maths Chapter 11 Three Dimensional Geometry

Chapter 11 Three Dimensional Geometry Ex 11.1

Chapter 11 Three Dimensional Geometry Ex 11.2

Chapter 11 Three Dimensional Geometry Ex 11.3

Chapter 11 Three Dimensional Geometry Miscellaneous Exercise

MP Board Class 12th Maths Chapter 12 Linear Programming

Chapter 12 Linear Programming Ex 12.1

Chapter 12 Linear Programming Ex 12.2

Chapter 12 Linear Programming Miscellaneous Exercise

MP Board Class 12th Maths Chapter 13 Probability

Chapter 13 Probability Ex 13.1

Chapter 13 Probability Ex 13.2

Chapter 13 Probability Ex 13.3

Chapter 13 Probability Ex 13.4

Chapter 13 Probability Ex 13.5

Chapter 13 Probability Miscellaneous Exercise

[writeleg1ant]

How do you Structure a Creative Writing Workshop?

How do you Structure a Creative Writing Workshop?

Table of Contents

- Introduction - Understanding Workshop Objectives - 2.1 Defining Learning Goals - 2.2 Tailoring to Participant Levels - Essential Components of Workshop Structure - 3.1 Icebreaker Activities - 3.2 Writing Exercises and Prompts - 3.3 Peer Review Sessions - 3.4 Facilitator Guidance and Feedback - 3.5 Group Discussions - Balancing Structure and Flexibility - 4.1 Setting a Framework - 4.2 Allowing Creative Exploration - Choosing Appropriate Writing Tools - 5.1 Traditional vs. Digital Approaches - 5.2 Leveraging Online Platforms - Incorporating Genre-specific Sessions - 6.1 Exploring Various Writing Genres - 6.2 Genre-focused Workshops - Fostering a Supportive Workshop Environment - 7.1 Establishing Ground Rules - 7.2 Encouraging Constructive Critique - 7.3 Nurturing a Sense of Community - Adapting to Virtual Workshop Settings - 8.1 Challenges of Virtual Workshops - 8.2 Maximizing Online Tools - SEO Integration: Promoting Workshop Structures - 9.1 Crafting SEO-friendly Workshop Descriptions - 9.2 Optimizing Online Workshop Platforms - Conclusion - FAQs About Structuring Creative Writing Workshops

Article

Introduction Unlocking creativity and honing writing skills, a well-structured creative writing workshop provides an immersive experience for aspiring writers. In this article, we explore the art of crafting an effective workshop, from defining objectives to incorporating flexibility and fostering a supportive community. Understanding Workshop Objectives Defining Learning Goals At the core of structuring a creative writing workshop is a clear understanding of learning goals. Define whether the workshop aims to enhance specific writing techniques, explore diverse genres, or provide a platform for collaborative storytelling. Tailoring to Participant Levels Consider the varied skill levels of participants. Tailoring the workshop structure to accommodate beginners and seasoned writers ensures an inclusive and beneficial experience for everyone involved. Essential Components of Workshop Structure Icebreaker Activities Begin with icebreaker activities to create a relaxed atmosphere. Icebreakers help participants connect, fostering a sense of camaraderie crucial for effective collaboration. Writing Exercises and Prompts Incorporate a variety of writing exercises and prompts to stimulate creativity. These activities encourage participants to explore different styles, break creative blocks, and discover unique voices. Peer Review Sessions Integrate peer review sessions for constructive feedback. This aspect of the workshop structure cultivates a culture of collaboration and allows participants to refine their work through diverse perspectives. Facilitator Guidance and Feedback Facilitators play a pivotal role. Provide clear guidance and constructive feedback to participants, offering insights that inspire growth and development in their writing journey. Group Discussions Include group discussions to encourage dialogue. These sessions allow participants to share insights, ask questions, and learn from each other's experiences. Balancing Structure and Flexibility Setting a Framework Establish a framework for the workshop to provide structure. A well-defined agenda ensures that essential components are covered, contributing to a comprehensive learning experience. Allowing Creative Exploration Simultaneously, allow room for creative exploration. Flexibility in the workshop structure enables spontaneous ideas, fostering an environment where imagination flourishes. Choosing Appropriate Writing Tools Traditional vs. Digital Approaches Consider the use of traditional writing tools alongside digital approaches. While pen and paper provide a tangible connection to creativity, digital tools can enhance collaboration and accessibility. Leveraging Online Platforms For virtual workshops, leverage online platforms to facilitate interaction. Utilize video conferencing, collaborative writing tools, and discussion forums to create an engaging online writing environment. Incorporating Genre-specific Sessions Exploring Various Writing Genres Dedicate sessions to exploring various writing genres. From fiction to poetry, genre-specific workshops cater to diverse interests, allowing participants to delve into areas aligned with their passions. Genre-focused Workshops Consider organizing genre-focused workshops. Whether it's mystery, romance, or fantasy, these specialized sessions provide in-depth insights and practical tips tailored to specific writing styles. Fostering a Supportive Workshop Environment Establishing Ground Rules Set clear ground rules to ensure a respectful and supportive environment. Guidelines on communication, critique, and inclusivity contribute to a positive workshop experience. Encouraging Constructive Critique Emphasize the importance of constructive critique. Participants should feel empowered to offer feedback that encourages growth without discouraging creativity. Nurturing a Sense of Community Foster a sense of community. Beyond writing, participants should feel connected and supported, creating a space where friendships and professional relationships can flourish. Adapting to Virtual Workshop Settings Challenges of Virtual Workshops Acknowledge the challenges of virtual workshops. Address issues such as technology barriers, time zone differences, and potential distractions to ensure a smooth online experience. Maximizing Online Tools Maximize online tools to overcome virtual challenges. Engage participants through interactive exercises, utilize breakout rooms for focused discussions, and leverage collaborative platforms for shared writing experiences. SEO Integration: Promoting Workshop Structures Crafting SEO-friendly Workshop Descriptions When promoting the workshop, craft SEO-friendly descriptions. Use relevant keywords related to writing, creativity, and the specific focus of the workshop to enhance online discoverability. Optimizing Online Workshop Platforms Optimize online workshop platforms for SEO. Ensure that workshop titles, descriptions, and content are enriched with keywords to attract writers actively searching for relevant learning opportunities. Conclusion Structuring a creative writing workshop involves the delicate art of balancing guidance and freedom, creating an environment where writers feel both supported and inspired. Whether in-person or virtual, a well-crafted workshop structure is the key to unlocking the full potential of participants. FAQs About Structuring Creative Writing Workshops - How do you organize a creative writing workshop?: - Organize a creative writing workshop by defining clear objectives, incorporating writing exercises, peer review sessions, and group discussions. Tailor activities to participant levels and create a supportive environment. - What is the format of writers workshop?: - The format of a writers workshop typically includes writing exercises, peer critiques, facilitator guidance, and group discussions. It follows a structured agenda while allowing flexibility for creative exploration. - What happens in creative writing workshops?: - Creative writing workshops involve participants sharing their work, engaging in writing exercises, providing constructive feedback during peer reviews, and participating in group discussions to enhance their writing skills. - How do you make a writing workshop fun?: - Make a writing workshop fun by incorporating diverse and engaging writing exercises, fostering a supportive and interactive environment, using creative prompts, and encouraging participants to share their unique perspectives and stories. Read the full article

[atomicwolfwonderland]

Protein Powder Market Key Findings, Global market forecast and distribution channels by 2022-2032

Rising Consumption of Protein Powder by Sportspeople Leading to Market Growth: FMI Report 

According to the recent FMI report, the sales for protein powder are expected to surpass a value of US$ 36.6 Mn in 2032, rising at a CAGR of around 7.3% through the end of 2032.  

Protein powder products are frequently advertised as muscle-building and performance-enhancing items for athletes and other physically active consumers leading to rising sales of the product in various parts of the world.  

In the multi-stress settings of goal-directed, frequent, intensive, and/or protracted exercise routines, athletes have heightened physiological protein requirements to maintain enough protein synthesis and energy generation, as well as sufficient immunological function and excellent gut integrity.  

Protein requirements rise in tandem with the intensity and duration of athletic performance as a result leading to rising adoption of protein in meals prior to and after the performance, as well as at regular intervals throughout the day, to ensure an adequate supply of essential or indispensable, amino acids. 

Protein powder is widely used by normal gym visitors as well. It is frequently taken in addition to other protein-rich foods, with no professional nutrition advice. 

Protein powders have been shown to improve the adaptation response to resistance training in resistance-trained subjects under the age of 49, and various indicators of high protein intake have been linked to improved muscle function in young adults, boosting the protein powder industry. 

Key Takeaways from the Protein Powder Market Study: 

The North American region currently holds the largest market share and is expected to continue to do so due to the widespread appeal of protein powder products among health-conscious consumers and rising demand for functional foods. 

According to FMI analysis, The European protein powder market is expected to grow at a rate of more than 7.5% per year through 2027, owing to the growing use of edible insects as protein supplements in meals and the growing demand for functional foods and drinks.   

Germany is dominating the European protein powder market with due to the increased demand for plant protein in powder form.  

Due to the growing livestock sector and increased awareness about animal health and nutrition, the protein powder industry from animal nutrition supplement application is expected to grow at a CAGR of over 6.6% through 2027.  

The market for protein powder is growing due to rising obesity rates among children and adults, as well as increased usage of protein powder for weight loss. 

“Market players are investing in R&D to create innovative products in order to maintain their market position. Manufacturers are also focusing on implementing technological advancement to improve production efficiency.” said a lead analyst at FMI. 

Who is winning? 

Key players operating in the global Protein Powder market are focusing on reaching a large consumer base by implementing various strategies such as product innovations, marketing & promotional activity, strengthening distribution channels, and adopting sustainable production. 

Some of the leading companies offering protein powder are Omega Protein, Amway, Abbott Laboratories, Glanbia Group, Herbalife International of America Inc., Vitaco Health, ABH Pharma Inc., GlaxoSmithKline, Makers Nutrition, Living Inc., and others. 

Get Valuable Insights into Protein Powder Market  

FMI, in its new offering, provides an unbiased analysis of protein powder presenting historical demand data (2017-2022) and forecast statistics for the period from (2022-2032). The study divulges compelling insights on the demand for protein powder based on product type (Animal Protein and Plant Protein), nature (organic and conventional), flavor (plain flavor, classic flavor, cookies and cream, fusion flavor, nut flavor, fruity flavors, others), end-use (dietary supplements, food and beverage, pharmaceuticals, others), and distribution channels (direct and indirect) across seven major regions. 

About the Food & Beverage Division at Future Market Insights 

Expert analysis, actionable insights, and strategic recommendations – the food & beverage team at Future Market Insights helps clients from all over the globe with their unique business intelligence needs. With a repertoire of over 1,000 reports and 1 million+ data points, the team has analyzed the food & beverage industry lucidly in 50+ countries for over a decade. The team provides end-to-end research and consulting services; reach out to explore how we can help. 

 Main Report Link: Protein Powder Market Size, Outlook & Analysis – 2032 | FMI (futuremarketinsights.com)

[7r0773r]

Meditations by Marcus Aurelius, translated by Gregory Hays

3.3 Hippocrates cured many illnesses—and then fell ill and died. The Chaldaeans predicted the deaths of many others; in due course their own hour arrived. Alexander, Pompey, Caesar—who utterly destroyed so many cities, cut down so many thousand foot and horse in battle—they too departed this life. Heraclitus often told us the world would end in fire. But it was moisture that carried him off; he died smeared with cowshit. Democritus was killed by ordinary vermin, Socrates by the human kind. 

And?

You boarded, you set sail, you’ve made the passage. Time to disembark. If it’s for another life, well, there’s nowhere without gods on that side either. If to nothingness, then you no longer have to put up with pain and pleasure, or go on dancing attendance on this battered crate, your body—so much inferior to that which serves it.

One is mind and spirit, the other earth and garbage.

***

4.41 “A little wisp of soul carrying a corpse.”—Epictetus.

***

6.16 What is it in ourselves that we should prize?

Not just transpiration (even plants do that).

Or respiration (even beasts and wild animals breathe).

Or being struck by passing thoughts.

Or jerked like a puppet by your own impulses.

Or moving in herds.

Or eating, and relieving yourself afterwards.

Then what is to be prized?

An audience clapping? No. No more than the clacking of their tongues. Which is all that public praise amounts to—a clacking of tongues.

So we throw out other people’s recognition. What’s left for us to prize?

I think it’s this: to do (and not do) what we were designed for. That’s the goal of all trades, all arts, and what each of them aims at: that the thing they create should do what it was designed to do. The nurseryman who cares for the vines, the horse trainer, the dog breeder—this is what they aim at. And teaching and education—what else are they trying to accomplish?

So that’s what we should prize. Hold on to that, and you won’t be tempted to aim at anything else.

And if you can’t stop prizing a lot of other things? Then you’ll never be free—free, independent, imperturbable. Because you’ll always be envious and jealous, afraid that people might come and take it all away from you. Plotting against those who have them—those things you prize. People who need those things are bound to be a mess—and bound to take out their frustrations on the gods. Whereas to respect your own mind—to prize it—will leave you satisfied with your own self, well integrated into your community and in tune with the gods as well—embracing what they allot you, and what they ordain.

***

7.1 Evil: the same old thing.

No matter what happens, keep this in mind: It’s the same old thing, from one end of the world to the other. It fills the history books, ancient and modern, and the cities, and the houses too. Nothing new at all.

Familiar, transient.

***

7.3 Pointless bustling of processions, opera arias, herds of sheep and cattle, military exercises. A bone flung to pet poodles, a little food in the fish tank. The miserable servitude of ants, scampering of frightened mice, puppets jerked on strings.

Surrounded as we are by all of this, we need to practice acceptance. Without disdain. But remembering that our own worth is measured by what we devote our energy to.

***

8.1 Another encouragement to humility: you can’t claim to have lived your life as a  philosopher—not even your whole adulthood. You can see for yourself how far you are from philosophy. And so can many others. You’re tainted. It’s not so easy now—to have a reputation as a philosopher. And your position is an obstacle as well.

So you know how things stand. Now forget what they think of you. Be satisfied if you can live the rest of your life, however short, as your nature demands. Focus on that, and don’t let anything distract you. You’ve wandered all over and finally realized that you never found what you were after: how to live. Not in syllogisms, not in money, or fame, or self-indulgence. Nowhere.

—Then where is it to be found?

In doing what human nature requires.

—How?

Through first principles. Which should govern your intentions and your actions.

—What principles?

Those to do with good and evil. That nothing is good except what leads to fairness, and self-control, and courage, and free will. And nothing bad except what does the opposite.

***

8.22 Stick to what’s in front of you—idea, action, utterance.

***

8.28 Either pain affects the body (which is the body’s problem) or it affects the soul. But the soul can choose not to be affected, preserving its own serenity, its own tranquillity. All our decisions, urges, desires, aversions lie within. No evil can touch them.

***

8.38 The stench of decay. Rotting meat in a bog.

Look at it clearly. If  you can.

***

10.24 My mind. What is it? What am I making of it? What am I using it for?

Is it empty of thought?

Isolated and torn loose from those around it?

Melted into flesh and blended with it, so that it shares its urges?

***

10.25 When a slave runs away from his master, we call him a fugitive slave. But the law of nature is a master too, and to break it is to become a fugitive.

To feel grief, anger or fear is to try to escape from something decreed by the ruler of all things, now or in the past or in the future. And that ruler is law, which governs what happens to each of us. To feel grief or anger or fear is to become a fugitive—a fugitive from justice.

***

11.2 To acquire indifference to pretty singing, to dancing, to the martial arts: Analyze the melody into the notes that form it, and as you hear each one, ask yourself whether you’re powerless against that. That should be enough to deter you.

The same with dancing: individual movements and tableaux. And the same with the martial arts.

And with everything—except virtue and what springs from it. Look at the individual parts and move from analysis to indifference.

Apply this to life as a whole.

[craigbrownphd-blog-blog]

Math of Deep Learning: Free Chapter from 832-page eBook

The title of the eBook is Dive in Deep Learning. Below I list the content of chapter 16, dealing with the math of deep learning. But the whole book (entirely free) is worth reading. This is an interactive deep learning book with code, math, and discussions. It is based on the NumPy interface. Authors * Aston Zhang, Amazon Senior Scientist, UIUC Ph.D. * Zack C. Lipton, Amazon Scientist, CMU Assistant Professor, UCSD Ph.D. * Mu Li, Amazon Principal Scientist, CMU Ph.D. * Alex J. Smola, Amazon VP/Distinguished Scientist, TU Berlin Ph.D. Source: section 9.3 in chapter 16 Below is the content about the math of deep learning (chapter 16.) 1. Linear Algebra 1.1. Geometry of Vectors 1.2. Dot Products and Angles 1.3. Hyperplanes 1.4. Geometry of linear transformations 1.5. Linear Dependence 1.6. Rank 1.7. Invertibility 1.8. Determinant 1.9. Eigendecompositions 1.10. Tensors and Common Linear Algebra Operations 1.11. Common Examples from Linear Algebra 1.12. Expressing in numpy 1.13. Summary 1.14. Exercises 2. Single Variable Calculus 2.1. Differential Calculus 2.2. Rules of Calculus 2.3. Summary 2.4. Exercises 3. Multivariable Calculus 3.1. Generalizing Differentiation 3.2. Geometry of gradients and gradient descent 3.3. A note on mathematical optimization 3.4. Multivariate Chain rule 3.5. The Backpropagation Algorithm 3.6. Hessians 3.7. A Little Matrix Calculus 3.8. Summary 3.9. Exercises 4. Integral Calculus 4.1. Geometric Interpretation 4.2. The Fundamental Theorem of Calculus 4.3. Change of Variables 4.4. A Comment on Sign Conventions 4.5. Multiple Integrals 4.6. Change of Variables in Multiple Integrals 4.7. Summary 4.8. Exercises 5. Random Variables 5.1. Continuous Random Variables 5.2. Summary 5.3. Exercises 6. Maximum Likelihood 6.1. The Philosopy 6.2. A Concrete Example 6.3. Numerical Optimization and the −log-Likelihood 6.4. Maximum likelihood for continuous variables 6.5. Summary 6.6. Exercises 7. Distributions 7.1. Bernoulli 7.2. Discrete Uniform 7.3. Continuous Uniform 7.4. Binomial 7.5. Poisson 7.6. Gaussian 7.7. Summary 7.8. Exercises 8. Naive Bayes 8.1. Optical Character Recognition 8.2. The Probabilistic Model for Classification 8.3. The Naive Bayes Classifier 8.4. Training 8.5. Summary 8.6. Exercises 9. Information Theory 9.1. Information 9.2. Entropy 9.3. Mutual Information 9.4. Kullback–Leibler Divergence 9.5. Cross Entropy 9.6. Summary 9.7. Exercises Read this material here. For other useful tutorials, follow this link, or check my blogs.  http://bit.ly/32drRRr

[ourelissaus-blog]

MTH 221 ENTIRE COURSE | University Of Phoenix

MTH 221 ENTIRE COURSE

Get MTH 221 entire course at University of Phoenix. Here is the best resources for homework help with MTH 221: Discrete Math at University of phoenix.

Get MTH 221 assignment help, homework solutions, study guides, notes etc.

MTH 221 Week 1 Individual Assignment Selected Textbook Exercises Complete 10 questions below. Please review the rubric posted in week 1 for math problems. Submit to your assignment tab. Submit a certificate of originality for this assignment. Ch. 1 of Discrete and Combinatorial Mathematics Supplementary Exercises 1, 2a Ch. 2 of Discrete and Combinatorial Mathematics Exercise 2.1, problem 2 Exercise 2.2, problem 2 Exercise 2.3, problem 4 Exercise 2.4, problem 1 Exercise 2.5, problem 1 Ch. 3 of Discrete and Combinatorial Mathematics Exercise 3.1, problem 1 Exercise 3.2, problem 3a Exercise 3.3, problem 1 MTH 221 Week 1 DQS DQ 1 Consider the problem of how to arrange a group of n people so each person can shake hands with every other person. How might you organize this process? How many times will each person shake hands with someone else? How many handshakes will occur? How must your method vary according to whether or not n is even or odd? DQ 2 There is an old joke that goes something like this: “If God is love, love is blind, and Ray Charles is blind, then Ray Charles is God.” Explain, in the terms of first-order logic and predicate calculus, why this reasoning is incorrect DQ 3 There is an old joke, commonly attributed to Groucho Marx, which goes something like this: “I don’t want to belong to any club that will accept people like me as a member.” Does this statement fall under the purview of Russell’s paradox, or is there an easy semantic way out? Look up the term fuzzy set theory in a search engine of your choice or the University Library, and see if this theory can offer any insights into this statement DQ 4 After reading Chapter 1 in our ebook, what is the difference between combinations and permutations? What are some practical applications of combinations? Permutations? MTH 221 Week 2 Individual Assignment Selected Textbook Exercises  Complete 10 questions below. Please review the rubric posted in week 1 for math problems. Submit to your assignment tab. Submit a certificate of originality for this assignment. Ch. 4 of Discrete and Combinatorial Mathematics Exercise 4.1, problem 5a Exercise 4.2, problem 18a Ch. 4 of Discrete and Combinatorial Mathematics Exercise 4.3, problem 4 Exercise 4.4, problem 1a Ch. 5 of Discrete and Combinatorial Mathematics Exercise 5.1, problem 4 Exercise 5.2, problem 4 Exercise 5.3, problem 1a Exercise 5.4, problem 13a Ch. 5 of Discrete and Combinatorial Mathematics Exercise 5.7, problem 1a Exercise 5.8, problem 5a MTH 221 Week 2 Team Selected Textbook Exercises Complete 3 questions below. Please review the rubric posted in week 1 for math problems. Have one team member submit to their assignment tab. Submit a certificate of originality for this assignment. Ch. 4 of Discrete and Combinatorial Mathematics Exercise 4.3, problems 12a, & 15 Ch. 5 of Discrete and Combinatorial Mathematics Exercise 5.1, problem 8 MTH 221 Week 2 DQS DQ 1 · Describe a situation in your professional or personal life when recursion, or at least the principle of recursion, played a role in accomplishing a task, such as a large chore that could be decomposed into smaller chunks that were easier to handle separately, but still had the semblance of the overall task. Did you track the completion of this task in any way to ensure that no pieces were left undone, much like an algorithm keeps placeholders to trace a way back from a recursive trajectory? If so, how did you do it? If not, why did you not? DQ 2 · Describe a favorite recreational activity in terms of its iterative components, such as solving a crossword or Sudoku puzzle or playing a game of chess or backgammon. Also, mention any recursive elements that occur. DQ 3 · Using a search engine of your choice, look up the term one-way function. This concept arises in cryptography. Explain this concept in your own words, using the terms learned in Ch. 5 regarding functions and their inverses. DQ 4 · A common result in the analysis of sorting algorithms is that for n elements, the best average-case behavior of any sort algorithm—based solely on comparisons—is O(n log n). How might a sort algorithm beat this average-case behavior based on additional prior knowledge of the data elements? What sort of speed-up might you anticipate for such an algorithm? In other words, does it suddenly become O(n), O(n log n) or something similar? MTH 221 Week 3 Individual Assignment Selected Textbook Exercises Complete 10 questions below. Please review the rubric posted in week 1 for math problems. Submit to your assignment tab. Submit a certificate of originality for this assignment. Ch. 7 Exercise 7.1, problems 5a, 6 Exercise 7.2, problem 2 Exercise 7.3, problems 1, 6a Ch. 7 Exercise 7.4, problems 1a, 2a Ch. 8 Exercise 8.1, problems 4, 12 Exercise 8.2, problem 4 MTH 221 Week 3 Team Selected Textbook Exercises Complete 3 questions below. Please review the rubric posted in week 1 for math problems. Have one team member submit to their assignment tab. Submit a certificate of originality for this assignment. Ch. 7 Exercise 7.4, problems 12a, & 13 Ch. 8 Exercise 8.1, problem 20 MTH 221 Week 3 DQS DQ 1 · What sort of relation is friendship, using the human or sociological meaning of the word? Is it necessarily reflexive, symmetric, antisymmetric, or transitive? Explain why or why not. Can the friendship relation among a finite group of people induce a partial order, such as a set inclusion? Explain why or why not. DQ 2 · Look up the term axiom of choice using the Internet. How does the axiom of choice—whichever form you prefer—overlay the definitions of equivalence relations and partitions you learned in Ch. 7? DQ 3 · How is the principle of inclusion and exclusion related to the rules for manipulation and simplification of logic predicates you learned in Ch. 2? DQ 4 · In Example 7.36, the author provides an example using PERT. MS Project is a software program for project management. How do you think the programmers of MS Project apply the learning in Chapter 7 to their algorithms? MTH 221 Week 4 Individual Assignment Selected Textbook Exercises Complete 10 questions below. Please review the rubric posted in week 1 for math problems. Submit to your assignment tab. Submit a certificate of originality for this assignment. Ch. 11 of Discrete and Combinatorial Mathematics Exercise 11.1, problems 3, 11 Ch. 11 of Discrete and Combinatorial Mathematics Exercise 11.2, problem 4 Exercise 11.3, problem 5a Exercise 11.4, problem 3a Exercise 11.5, problem 2 Ch. 12 of Discrete and Combinatorial Mathematics Exercise 12.1, problem 2 Exercise 12.2, problem 6 Exercise 12.3, problem 2 Exercise 12.5, problem 1 MTH 221 Week 4 Team Selected Textbook Exercises Complete 4 questions below. Please review the rubric posted in week 1 for math problems. Have one team member submit to their assignment tab. Submit a certificate of originality for this assignment. Ch. 11 of Discrete and Combinatorial Mathematics Exercise 11.1, problems 6, & 16a Ch. 12 of Discrete and Combinatorial Mathematics Exercise 12.1, problems, 7, & 11                                         

MTH 221 Week 4 DQS DQ 1 · Random graphs are a fascinating subject of applied and theoretical research. These can be generated with a fixed vertex set V and edges added to the edge set E based on some probability model, such as a coin flip. Speculate on how many connected components a random graph might have if the likelihood of an edge (v1,v2) being in the set E is 50%. Do you think the number of components would depend on the size of the vertex set V? Explain why or why not. DQ 2 · You are an electrical engineer designing a new integrated circuit involving potentially millions of components. How would you use graph theory to organize how many layers your chip must have to handle all of the interconnections, for example? Which properties of graphs come into play in such a circumstance? DQ 3 · Trees occur in various venues in computer science: decision trees in algorithms, search trees, and so on. In linguistics, one encounters trees as well, typically as parse trees, which are essentially sentence diagrams, such as those you might have had to do in primary school, breaking a natural-language sentence into its components—clauses, subclauses, nouns, verbs, adverbs, adjectives, prepositions, and so on. What might be the significance of the depth and breadth of a parse tree relative to the sentence it represents? If you need to, look up parse tree and natural language processing on the Internet to see some examples. DQ 4 · In Section 12.4 we learn about the Merge Sort algorithm; it is more efficient that the Bubble sort we learned about in Chapter 10. Doing some research on the Internet can you find a sorting algorithm more efficient than the Merge Sort? If you find one please describe it and list your reference. MTH 221 Week 5 Individual Assignment Selected Textbook Exercises Complete 5 questions below. Please review the rubric posted in week 1 for math problems. Submit to your assignment tab. Submit a certificate of originality for this assignment. Ch. 15 of Discrete and Combinatorial Mathematics Exercise 15.1, problems 1a, 2a,4a, 9, & 12 MTH 221 Week 5 Learning Team Research Presentation Submit the final Research Presentation. Please review the rubric posted in week 1 for the team project Have one team member submit to their assignment tab Submit a certificate of originality for this assignment MTH 221 Week 5 DQS DQ 1 · How does Boolean algebra capture the essential properties of logic operations and set operations? DQ 2 · How does the reduction of Boolean expressions to simpler forms resemble the traversal of a tree, from the Week Four material? What sort of Boolean expression would you end up with at the root of the tree? DQ 3 · The introduction of Chapter 15 in your book introduces you to two founders of Boolean algebra and its applications (Boole and Shannon). After performing some research, share with the class some practical applications of Boolean algebra. Please cite your source. DQ 4 · In review of the material you have learned over the past 5 weeks which element has made the biggest impression on you? What element do you think you can use in future work or school applications?

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NCERT Class 12|| Math Solutions || Integrals || Exercise 7.3

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Integration |Exercise 9.2|Question 3 Solution|Elements of Mathematics |

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NON-COMMUNICABLE DISEASES

7.1. About NCDs

According to WHO, Noncommunicable diseases (NCDs), also known as chronic diseases are diseases of long duration which are a result of a combination of genetic, physiological, environmental and behavioral factors.

The four major non-communicable diseases are: cardiovascular diseases, cancers, respiratory diseases and diabetes

Noncommunicable diseases (NCDs) kill 41 million people each year, equivalent to 71% of all deaths globally.

While NCDs were not included in the Millennium Development Goals, they are now an important target in the Sustainable Development Goals, under which countries would have to “reduce by 1/3rd, pre-mature mortality from non-communicable diseases through prevention and treatment, and promote mental health and wellbeing” by 2030.

7.2 Causes of NCDs

NCDs are reason for more than 60% death in India.

India’s Ministry of Health and Family Welfare recently received the prestigious UN Inter-Agency Task Force Award for “outstanding contribution to the achievement of NCD (Non-Communicable Diseases) related SDG targets”

NCDs are reason for more than 60% deaths in India.

According to the World Economic Forum (WEF), India stands to lose $ 4.58 trillion (Rs 311.94 trillion) due to non-communicable diseases between 2012 and 2030.

7.3. Steps taken By India

WHO has developed a comprehensive Global Monitoring Framework and Action Plan for prevention and Control of NCDs. India is the first country globally to adopt it to its National Context.

National Health Policy advocates pre-screening and sets the target to reduce premature mortality via NCDs by 25% by 2025.

The central government is implementing National Programme for Prevention and Control of Cancer, Diabetes, Cardiovascular Diseases and Stroke (NPCDCS) for interventions up to District level under the National Health Mission.

A flexi pool of funds for Non-Communicable Diseases (NCD) has been created.

NCD IT solution under Ayushman Bharat covers program-level data for screening, referral, diagnosis, treatment and follow-up activities of non-communicable diseases with an aim to connect health workers, doctors and decision-makers in a single, integrated platform.

Niti Aayog has proposed models for PPP to increase the role of private hospitals in treating non-communicable diseases.

Behavioural Factors: Modifiable behaviours, such as tobacco use, physical inactivity, consumption of processed food with enriched salt and sugar content and the harmful use of alcohol, all increase the risk of NCDs.

Metabolic factors: These include raised blood pressure, obesity, high blood glucose levels, etc. These risks are often increased due to behavioural factors.

Structural factors: The risks have been aggravated by the increasing sedentary life styles, Urban settlements with lack of open spaces and recreational activities, stressed work culture, pollution etc.

​

7.4. Impact of NCDs

Poverty: The rapid rise in NCDs is predicted to impede poverty reduction initiatives in low-income countries, particularly by increasing household costs associated with health care.

Loss of Workforce: Productive demographic dividend can be impacted due to such diseases which may take a toll on the economy. This also increases the Dependency ratio of the country.

Impact on children: NCDs impact on children is a major concern, in particular the rising levels of obesity.

​

Way Forward

Healthy Lifestyle: Promote behavioral changes such as reducing tobacco and alcohol consumption, promoting healthy diets, physical activities such as Yoga, sports, exercise, etc.

Increase Governmental health expenditure: Actions related to reduction of blood pressure, control of diabetes and provision of competent primary care supplemented by cost-effective specialist clinical care for treatable NCDs will benefit all age groups.

Stringent Norms for processed and ready to eat food:

The UN declaration has asked food manufacturers to reduce salt, free sugars and saturated and industrially-produced trans fats in their products.

It also said that manufacturers should use nutrition labelling on packaged food to inform consumers, and restrict the marketing of unhealthy foods and beverages to children.

Private sector participation: In developing countries, private companies must complement governmental efforts to develop programmes to combat NCDs by:

establishing tobacco free workplaces

improving access to and affordability of safe, effective and quality medicines and technologies in the prevention and control on non-communicable diseases

Better Urban planning: It should support safe and pleasurable physical activity (For eg. pedestrian and bicycle lanes in Lucknow, open park gyms in Delhi), and also ensure sufficient green spaces and a pollution free environment.

Spread awareness: Spreading awareness about unhealthy lifestyle choices and building a robust early screening system.

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Description of Fundamentals of Ecological Modelling

This is the fourth edition of Fundamentals of Ecological Modelling, and we have given it a longer title: Fundamentals of Ecological Modelling: Application in Environmental Management and Research. This was done to emphasize that models, applied in environmental management and ecological research, are particularly considered in the model illustrations included in this book. Giuseppe Bendoricchio, the co-author of the third edition published in 2001, passed away in 2005. We would, therefore, like to dedicate this book to his memory and his considerable contributions in the 1980s and 1990s to the development of ecological modelling. The first two editions of this book (published in 1986 and 1994) focused on the roots of the discipline — the four main model types that dominated the field 30-40 years ago: (1) dynamic biogeochemical models, (2) population dynamic models, (3) ecotoxicological models, and (4) steady-state biogeochemical and energy models. Those editions offered the first comprehensive textbook on the topic of ecological modelling. The third edition, with substantial input from Bendoricchio, focused on the mathematical formulations of ecological processes that are included in ecological models. In the third edition, the chapter called Ecological Processes encompasses 118 pages. The same coverage of this topic today would probably require 200 pages and is better covered in the Encyclopedia of Ecology, which was published in the fall of 2008. This fourth edition uses the four model types previously listed as the foundation and expands the latest model developments in spatial models, structurally dynamic models, and individual-based models. As these seven types of models are very different and require different considerations in the model development phase, we found it important for an up-to-date textbook to devote a chapter to the development of each of the seven model types. Throughout the text, the examples given from the literature emphasize the application of models for environmental management and research. Therefore the book is laid out as follows: Chapter 1: Introduction to Ecological Modelling provides an overview of the topic and sets the stage for the rest of the book. Chapter 2: Concepts of Modelling covers the main modelling elements of compartments (state variables), connections (flows and the mathematical equations used to represent biological, chemical, and physical processes), controls (parameters, constants), and forcing functions that drive the systems. It also describes the modelling procedure from conceptual diagram to verification, calibration, validation, and sensitivity analysis. Chapter 3: An Overview of Different Model Types critiques when each type should or could be applied. Chapter 4: Mediated or Institutionalized Modelling presents a short introduction to using the modelling process to guide research questions and facilitate stakeholder participation in integrated and interdisciplinary projects. Chapter 5: Modelling Population Dynamics covers the growth of a population and the interaction of two or more populations using the Lotka-Volterra model, as well as other more realistic predator–prey and parasitism models. Examples include fishery and harvest models, metapopulation dynamics, and infection models. Chapter 6: Steady-State Models discusses chemostat models, Ecopath software, and ecological network analysis. Chapter 7: Dynamic Biogeochemical Models are used for many applications starting with the original Streeter-Phelps model up to the current complex eutrophication models. Chapter 8: Ecotoxicological Models provides a thorough investigation of the various ecotoxicological models and their use in risk assessment and environmental management. Chapter 9: Individual-based Models discusses the history and rise of individualbased models as a tool to capture the self-motivated and individualistic characteristics individuals have on their environment. Chapter 10: Structurally Dynamic Models presents 21 examples of where model parameters are variable and adjustable to a higher order goal function (typically thermodynamic). Chapter 11: Spatial Modelling covers the models that include spatial characteristics that are important to understanding and managing the system.  This fourth edition is maintained as a textbook with many concrete model illustrations and exercises included in each chapter. The previous editions have been widely used as textbooks for past courses in ecological modelling, and it is the hope of the authors that this edition will be an excellent basis for today’s ecological modelling courses.

Content of Fundamentals of Ecological Modelling

1. Introduction 1 1.1 Physical and Mathematical Models 1 1.2 Models as a Management Tool 3 1.3 Models as a Research Tool 4 1.4 Models and Holism 7 1.5 The Ecosystem as an Object for Research 11 1.6 The Development of Ecological and Environmental Models 13 1.7 State of the Art in the Application of Models 16 2. Concepts of Modelling 19 2.1 Introduction 19 2.2 Modelling Elements 20 2.3 The Modelling Procedure 24 2.4 Verification 31 2.5 Sensitivity Analysis 34 2.6 Calibration 37 2.7 Validation and Assessment of the Model Uncertainty 41 2.8 Model Classes 44 2.9 Selection of Model Complexity and Structure 51 2.10 Parameter Estimation 60 2.11 Ecological Modelling and Quantum Theory 78 2.12 Modelling Constraints 82 Problems 92 3. An Overview of Different Model Types 95 3.1 Introduction 95 3.2 Model types — An Overview 96 3.3 Conceptual Models 100 3.4 Advantages and Disadvantages of the Most Applied Model Types 108 3.5 Applicability of the Different Model Types 116 Problems 118 4. Mediated or Institutionalized Modelling 121 4.1 Introduction: Why Do We Need Mediated Modelling? 121 4.2 The Institutionalized Modelling Process 123 4.3 When Do You Apply Institutionalized or Mediated Modelling (IMM)? 125 Problems 127 5. Modelling Population Dynamics 129 5.1 Introduction 129 5.2 Basic Concepts 129 5.3 Growth Models in Population Dynamics 131 Illustration 5.1 134 5.4 Interaction Between Populations 135 Illustration 5.2 141 Illustration 5.3 142 5.5 Matrix Models 147 Illustration 5.4 149 5.6 Fishery Models 150 5.7 Metapopulation Models 153 5.8 Infection Models 155 Problems 157 6. Steady-State Models 159 6.1 Introduction 159 6.2 A Chemo state Model to Illustrate a Steady-State Biogeochemical Model 160 Illustration 6.1 162 6.3 Ecopath Models 162 6.4 Ecological Network Analysis 163 Problems 174 7. Dynamic Biogeochemical Models 175 7.1 Introduction 175 7.2 Application of Biogeochemical Dynamic Models 177 7.3 The Streeter-Phelps River BOD/DO Model, Using STELLA 179 7.4 Eutrophication Models I: Simple Eutrophication Models with 2–4 State Variables 184 7.5 Eutrophication Models II: A Complex Eutrophication Model 192 7.6 Model of Subsurface Wetland 208 7.7 Global Warming Model 218 Problems 225 8. Ecotoxicological Models 229 8.1 Classification and Application of Ecotoxicological Models 229 8.2 Environmental Risk Assessment 233 8.3 Characteristics and Structure of Ecotoxicological Models 244 8.4 An Overview: The Application of Models in Ecotoxicology 258 8.5 Estimation of Ecotoxicological Parameters 261 8.6 Ecotoxicological Case Study I: Modelling the Distribution of Chromium in a Danish Fjord 271 8.7 Ecotoxicological Case Study II: Contamination of Agricultural Products by Cadmium and Lead 278 8.8 Fugacity Fate Models 284 Illustration 8.1 287 Illustration 8.2 288 9. Individual-Based Models 291 9.1 History of Individual-Based Models 291 9.2 Designing Individual-Based Models 293 9.3 Emergent versus Imposed Behaviors 294 9.4 Orientors 295 9.5 Implementing Individual-Based Models 297 9.6 Pattern-Oriented Modelling 299 9.7 Individual-Based Models for Parameterizing Models 301 9.8 Individual-Based Models and Spatial Models 302 9.9 Example of 304 9.10 Conclusions 308 Problems 308 10. Structurally Dynamic Models 309 10.1 Introduction 309 10.2 Ecosystem Characteristics 310 10.3 How to Construct Structurally Dynamic Models and Definitions of Exergy and Eco-exergy 321 10.4 Development of Structurally Dynamic Models for Darwin’s Finches 333 10.5 Biomanipulation 335 10.6 An Ecotoxicological Structurally Dynamic Models Example 343 Problems 346 11. Spatial Modelling 347 11.1 Introduction 347 11.2 Spatial Ecological Models: The Early Days 353 11.3 Spatial Ecological Models: State-of-the-Art 356 Problems 368 References 369 Index 385

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NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

Find the integrals of the functions in Exercises 1 to 22. Question 1. sin²(2x+5) Solution: Question 2. sin3x cos4x Solution: Question 3. ∫cos2x cos4x cos6x dx Solution: Question 4. ∫sin3(2x+1)dx Solution: Question 5. sin3x cos3x Solution: Question 6. sinx sin2x sin3x Solution: Question 7. sin 4x sin 8x Solution: Question 8. Solution: Question 9.

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NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

Find the integrals of the functions in Exercises 1 to 22. Question 1. sin²(2x+5) Solution: Question 2. sin3x cos4x Solution: Question 3. ∫cos2x cos4x cos6x dx Solution: Question 4. ∫sin3(2x+1)dx Solution: Question 5. sin3x cos3x Solution: Question 6. sinx sin2x sin3x Solution: Question 7. sin 4x sin 8x Solution: Question 8. Solution: Question 9.

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NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

Find the integrals of the functions in Exercises 1 to 22. Question 1. sin²(2x+5) Solution: Question 2. sin3x cos4x Solution: Question 3. ∫cos2x cos4x cos6x dx Solution: Question 4. ∫sin3(2x+1)dx Solution: Question 5. sin3x cos3x Solution: Question 6. sinx sin2x sin3x Solution: Question 7. sin 4x sin 8x Solution: Question 8. Solution: Question 9.