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Optimization
An open topped serving box will be made by cutting squares out of each corner of a 12" by 18" sheet of cardboard and folding the tabs up to form a box. What size squares should be cut out to maximize the volume of the box?



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Derivatives
Differentiate the Trigonometric function.

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Optimization
A rectangular page with 25 square inches of print has margins of 1 inch on each side. Find the dimensions of the page so that the least amount of paper is used.


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Derivatives
Differentiate the Trigonometric function.

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Derivatives
Differentiate the trigonometric function.
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DERIVATIVES Differentiate the trigonometric function
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OPTIMIZATION Find the point P = (x, 0) on the x-axis which minimizes the sum of the squares of the distances from P to (0, 0) and from P to (3, 2).
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DERIVATIVES Differentiate the trigonometric function.
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DERIVATIVES
Calculate the Derivative of e^2x+3

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OPTIMIZATION
A Florida citrus 聽grower estimates that if 60 oranges are planted; The average yield per tree will 400 oranges. The average yield will decrease by 4 oranges per tree for each additional tree planted on the same acreage. How many trees should the grower plant to maximize the total yield?

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OPTIMIZATION Find the point P = (x, 0) on the x-axis which minimizes the sum of the squares of the distances from P to (0, 0) and from P to (3, 2).
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DERIVATIVES
Differentiate the trigonometric function.

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OPTIMIZATION
A rectangle has are 150sq.in. Determine the dimension that minimize the perimeter, and give the minimum possible perimeter


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Derivatives
Differentiate the trigonometric function.

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