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m04 - M408K Third Exam Review Day 1 1 A right circular...

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M408K Third Exam Review – Day 1 1) A right circular cylinder (with a bottom and a top) is to be designed to hold 24 cubic inches of a soft drink and to use a minimum of material in its construction. Find the required dimensions for the container. 2) A poster is to have a total area of 72 2 in with 1-inch margins at the bottom and sides and a 3- inch margin at the top. What dimensions will give the largest printed area? 3) Find the coordinates of P that maximize the area of the rectangle shown in the figure below. 4) An outdoor tour guide offers the following rates: \$200 per person if 50 people (the minimum number necessary) go on the tour. For each additional person, up to a maximum of 80 people, everyone’s charge is reduced by \$2. It costs \$6000 (a fixed cost) plus \$32 per person to conduct the tour. How many people does it take to maximize the guide’s profit?

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5) This is a graph of the function 3 ( ) 2 5 f x x x A) Use Newton’s Method, starting with the value 0 2 x , to approximate the root of () fx .
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m04 - M408K Third Exam Review Day 1 1 A right circular...

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