Math 135_Test_2

Math 135_Test_2 - Math 135 Test#2 Fall 2007 Name-1 Find the...

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Math 135 Test#2 Fall 2007 Name ------------------------------------------------------------------------------------------------------------------------------------- 1- Find the relative maximum, relative minimum, and points of inflection of 4 3 ( ) 3 4 1 f x x x = - + and then graph it. (Hint: Use Dr. G table for the y x and also for y x ). (12 points) 2- Find the absolute maximum and minimum of ( 29 2 4 x f x x + = on [1, 4]. (8 points) 1

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3A- A soup company is constructing an open-top, square-based, rectangular metal tank that will have 32 ft3. What dimensions will minimize surface area? What is the minimum surface area? (6 points) Only Set up. Let x =# of 3B- Riverside Appliances is marketing a new refrigerator. It determines that in order to sell x refrigerators, the price per refrigerator must be 280 0 4 . p x = - . It also determine that the total cost of producing x refrigerators is given by ( 29 2 5000 0 6 . C x x = + . Find the number of refrigerators the company should produce in order to maximize profit, and the maximum profit. (6points). You must completely solve this. 4- Bon Temps Surf and ACUBA Shop sells 300 surfboards each year. It costs \$8 to store one surfboard for a year. To reorder, there is a fixed cost of \$10, plus \$5 for each additional surfboard ball. How many times per year should the store
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