PDF_Math%20121_ReviewT3_Fall2009_6.1,6.2,6.4,6.6,7.1,7.2

# PDF_Math%20121_ReviewT3_Fall2009_6.1,6.2,6.4,6.6,7.1,7.2 -...

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Math 121 - Fall 2009 Practice Problems for Test 3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the location of the indicated absolute extremum for the function. 1) Maximum x -6 6 f(x) 6 -6 A) x = 5 B) No maximum C) x = 0 D) x = 3 1) 2) Minimum x -6 6 f(x) 6 -6 A) x = - 3 B) x = - 5 C) x = 5 D) x = 3 2) 1

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3) Maximum x -6 6 f(x) 6 -6 A) x = 4 B) x = 1 C) No maximum D) x = - 4 3) 4) Maximum x -5 -4 -3 -2 -1 1 2 3 4 5 g(x) 5 4 3 2 1 -1 -2 -3 -4 -5 A) x = - 4 B) No maximum C) x = 11 4 D) x = 0 4) 5) Minimum x -6 6 f(x) 6 -6 A) x = - 1 B) No minimum C) x = 2 D) x = 1 5) 2
Find the location of the indicated absolute extremum within the specified domain. 6) Maximum of f(x) = x 2 - 4; [ - 1, 2] A) x = 2 B) x = 1 C) x = - 2 D) x = - 1 6) 7) Minimum of f(x) = 1 3 x 3 - 2x 2 + 3x - 4; [ - 2, 5] A) x = 1 B) x = 0 C) x = 2 D) x = - 2 7) 8) Minimum of f(x) = 1 x + 2 ; [ - 4, 1] A) No minimum B) x = 0 C) x = - 4 D) x = 1 8) Find rhe absolute maximum value and absolute minimum value of the function on the specified interval 9) y = x 2 e - x ; [ - 1, 3] A) absolute minimum value is 0; absolute maximum value is 9 e 3 . B) absolute minimum value is 0; absolute maximum value is e. C) absolute minimum value is - 1; absolute maximum value is 3. D) absolute minimum value is 0; absolute maximum value is 4 e 2 . E) absolute minimum value is 0; absolute maximum value is 1/e. 9) Solve the problem. 10) S(x) = - x 3 - 3x 2 + 72x + 900, x 2 is an approximation to the number of salmon swimming upstream to spawn, where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon. A) 8°C B) 4°C C) 6°C D) 2°C 10) 11) Find two nonnegative numbers x and y such that their sum is 600 and x 2 y is maximized. A) x = 150, y = 450 B) x = 200, y = 400 C) x = 450, y = 150 D) x = 400, y = 200 11) 12) Find two numbers whose sum is 350 and whose product is as large as possible. A) 174 and 176 B) 1 and 349 C) 175 and 175 D) 10 and 340 12) 13) If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a certain city, where p(x) = 111 - x 12 . How many candy bars must be sold to maximize revenue? A) 1332 candy bars B) 666 thousand candy bars C) 1332 thousand candy bars D) 666 candy bars 13) 14) The cost of a computer system increases with increased processor speeds. The cost C of a system as a function of processor speed is estimated as C = 5S 2 - 5S + 1000, where S is the processor speed in MHz. Find the processor speed for which cost is at a minimum.

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## This note was uploaded on 07/05/2010 for the course MATH 2240 taught by Professor Crespo during the Spring '09 term at SPSU.

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PDF_Math%20121_ReviewT3_Fall2009_6.1,6.2,6.4,6.6,7.1,7.2 -...

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