HW12-problems - f ( x ) = cos 2 x + 3 sin x on (-/ 2 , /...

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handa (nh5757) – HW12 – meth – (55830) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points IF f is the Function whose graph is given by 2 4 6 2 4 6 which oF the Following properties does f NOT have? 1. local maximum at x = 4 2. f ( x ) > 0 on (4 , 7) 3. lim x 2 + f ( x ) = lim x 2 - f ( x ) 4. lim x 4 f ( x ) = 5 5. critical point at x = 2 002 10.0 points IF the graph oF the Function defned on [ - 3 , 3] by f ( x ) = x 2 + ax + b has an absolute minimum at (2 , 1), determine the value oF f (1). 1. f (1) = 3 2. f (1) = 2 3. f (1) = 4 4. f (1) = 1 5. f (1) = 0 003 10.0 points IF f is a continuous Function on [0 , 6] having (1) an absolute maximum at 2 , and (2) an absolute minimum at 4, which one oF the Following could be the graph oF f ? 1. 2 4 6 2 4 x y 2. 2 4 6 2 4 x y 3. 2 4 6 2 4 x y
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handa (nh5757) – HW12 – meth – (55830) 2 4. 2 4 6 2 4 x y 5. 2 4 6 2 4 x y 6. 2 4 6 2 4 x y 004 10.0 points Find all the critical points of
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Unformatted text preview: f ( x ) = cos 2 x + 3 sin x on (-/ 2 , / 2). 1. c = 0 2. c =- 6 , , 6 3. c =- 3 , , 3 4. c = 6 5. c =- 3 , 3 6. c = 3 005 10.0 points Find the absolute maximum value of f ( x ) = 1-3 sin 2 x on [-, ]. 1. abs maximum value =-1 2. abs maximum value = 1 3. abs maximum value = 4 4. abs maximum value =-2 5. abs maximum value =-3 6. abs maximum value = 5 006 10.0 points An advertisement is run to stimulate the sale of cars. After t days, 1 t 52, the number of cars sold is given by N ( t ) = 4000 + 36 t 2-t 3 . On what day does the maximum rate of growth of sales occur? 1. on day 13 2. on day 11 3. on day 12 4. on day 14 5. on day 10...
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This note was uploaded on 11/21/2011 for the course M 408N taught by Professor Gualdini during the Spring '10 term at University of Texas at Austin.

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HW12-problems - f ( x ) = cos 2 x + 3 sin x on (-/ 2 , /...

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