problem_13 - Find all the critical points of f ( x ) = sin...

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shin (ys5232) – Homework 13 (Section 4.1) – miner – (55096) 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. lim x 4 f ( x ) = 4 2. lim x 4 + f ( x ) = lim x 4 - f ( x ) 3. local minimum at x = 4 4. critical point at x = 2 5. f ( x ) > 0 on ( - 1 , 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), deter- mine the value oF f (1). 1. f (1) = 0 2. f (1) = - 1 3. f (1) = 3 4. f (1) = 2 5. f (1) = 1 003 10.0 points IF f is a continuous Function on [0 , 6] having (1) an absolute minimum at 2 , and (2) an absolute maximum 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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shin (ys5232) – Homework 13 (Section 4.1) – miner – (55096) 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
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Unformatted text preview: Find all the critical points of f ( x ) = sin 2 x + 3 cos x on (-/ 2 , / 2) . 1. c =- 6 , , 6 2. c =- 6 , 6 3. c = 6 4. c =- 3 , , 3 5. c =- 3 , 3 6. c = 3 005 10.0 points Find the absolute maximum value of f ( x ) = 3 + 2 sin 2 x on [-, ]. 1. abs maximum value = 5 2. abs maximum value = 1 3. abs maximum value = 2 4. abs maximum value = 6 5. abs maximum value = 3 6. abs maximum value = 4 006 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 ) = 1000 + 30 t 2-t 3 . On what day does the maximum rate of growth of sales occur? 1. on day 9 2. on day 12 3. on day 11 4. on day 10 5. on day 8...
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problem_13 - Find all the critical points of f ( x ) = sin...

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