016-answers-19298 - B. The minimum value of V is 5.09 C. V...

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Math 1314 Daily Poppers 016 Bubble in: Section #; Assign # 016; Your PSID#; Test Form A 1. Suppose you want to fence in a vegetable garden in your yard. You want to have 225 square feet for the garden. You need to purchase fencing material, and you want to purchase the smallest amount of fencing to accomplish the task. How much fencing will you need? This problem is asking you to: A. Maximize area B. Minimize area C. Maximize perimeter D. Minimize perimeter E. None of the above
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Bubble in: Section #; Assign # 016; Your PSID#; Test Form A 2. Suppose you are asked to maximize volume, and the function you write to do this is ( ) (8 2 )(6 2 ) V x x x x = - - . Which of these represents an appropriate domain for this function? A. [0, 3] B. [0, 4] C. ( 29 0, D. None of the above
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Bubble in: Section #; Assign # 016; Your PSID#; Test Form A 3. Suppose '( ) 0 V x = when x = 5.09 and 2 6 ''( ) 125 V x x = - . Which of these statements is true? Hint: Second Derivative Test A. V has a minimum at x = 5.09
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Unformatted text preview: B. The minimum value of V is 5.09 C. V has a maximum at x = 5.09 D. The maximum value of V is 5.09 E. None of the above Bubble in: Section #; Assign # 016; Your PSID#; Test Form A 4. Suppose you want to fence in an area and divide it into two adjacent, congruent regions by placing a barrier in the middle, parallel to the two shorter sides. You have 600 meters of fencing to use. Write a function that represents this situation, letting x = the width of the area. . A. 2 600 3 A x x =-B. 2 3 300 2 A x x =-C. 2 3 600 2 A x x =-D. 2 300 3 A x x =-E. None of the above Bubble in: Section #; Assign # 016; Your PSID#; Test Form A 5. Suppose you want to maximize the area of a region, and the function you write is ( ) (40 8 ) A x x x =-with domain [ ] 0,5 . Find the dimensions that will give the maximum area. A. 2.5 units by 2.5 units by 5 units B. 2.5 units by 5 units C. 2.5 units by 20 units D. 2.5 units by 24 units E. None of the above...
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This note was uploaded on 02/21/2012 for the course MATH 1314 taught by Professor Marks during the Fall '08 term at University of Houston.

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016-answers-19298 - B. The minimum value of V is 5.09 C. V...

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