FFind the dimensions of the rectangular box with largest volume if the total surface area is given as 36 cm2. (Let x, y, and z be the dimensions of the rectangular box.)(x, y, z) =1)Q Searchi

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Answered: F Find the dimensions of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.4: Complex And Rational Zeros Of Polynomials

Problem 39E

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Stock is removed from a block in two operations. The original thickness of the block is represented by n. The thickness removed by the milling operation is represented by p and the thickness removed by the grinding operation is represented by t. What is the final thickness of the block?
A Precocious Child and Her Blocks A child has 64 blocks that are 1-inch cubes. She wants to arrange the blocks into a solid rectangle h blocks long and w blocks wide. There is a relationship between h and w that is determined by the restriction that all 64 blocks must go into the rectangle. A rectangle h blocks long and w blocks wide uses a total of h X w blocks. Thus, hw = 64. Applying some elementary algebra, we get the relationship that we need: w=64h(2.3) Use a formula to express the perimeter P in terms of h and w. Using Equation 2.3, find a formula that expresses the perimeter P in terms of the height only. How should the child arrange the blocks if she wants the perimeter to be the smallest possible? Do parts b and c again, this time assuming that the child has 60 blocks rather than 64 blocks. In this situation, the relationship between h and w is w = 60/h. Note: Be careful when you do part c. The child will not cut the blocks into pieces

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F Find the dimensions of the rectangular box with largest volume if the total surface area is given as 36 cm2. (Let x, y, and z be the dimensions of the rectangular box.) (x, y, z) = 1) Q Search i