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HW12-problems

# HW12-problems - f x = cos 2 x √ 3 sin x on-π 2 π 2 1 c...

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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 – find all choices before answering. 001 10.0points 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 10.0points If the graph of the function defined 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 10.0points If f is a continuous function on [0 , 6] having (1) anabsolutemaximumat 2 ,and (2) anabsoluteminimumat 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 10.0points Find all the critical points of
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Unformatted text preview: f ( x ) = cos 2 x + √ 3 sin x on (-π/ 2 , π/ 2). 1. c = 0 2. c =-π 6 , , π 6 3. c =-π 3 , , π 3 4. c = π 6 5. c =-π 3 , π 3 6. c = π 3 005 10.0 points Find the absolute maximum value of f ( x ) = 1-3 sin 2 x on [-π, π ]. 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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HW12-problems - f x = cos 2 x √ 3 sin x on-π 2 π 2 1 c...

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