5.3-problems - tran (pt4954) – 5.3 – campisi –...

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Unformatted text preview: tran (pt4954) – 5.3 – campisi – (54970) This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 4 3. 3 2 0 10.0 points A function h has graph 2 4 2 4 2 4 2 4 −2 -3 -4 0 4 −2 2 4 4. 3 2 -2 −2 -3 2 1 0 -4 -1 −4 -5 −2 -2 −2 -3 -6 on (−3, 4). If -4 x f ( x) = h(t) dt, −2 (x ≥ −2), 5. 3 2 which of the following is the graph of f on (−3, 4)? 2 1 4 0 3 -1 2 -4 −2 -2 2 4 0 -1 2 2 -2 1 -3 0 -4 2 1 3 -3 3 2 -4 -2 4 6. −2 -3 -1 −2 -3 0 -1 −2 -2 2 1 2. −2 -2 1 1. 2 1 -1 -1 1 −2 2 −2 4 −2 −2 -4 002 10.0 points The graph of f is shown in the figure tran (pt4954) – 5.3 – campisi – (54970) 7 6 6 5 4 4 3 2 2 1 0 -1 -2 −2 -3 2 Find the value of F (π /6) when x 2 e−4 cos F ( x) = 2 θ dθ . 0 1. F 2 4 6 8 10 2. F 3. F If x g ( x) = f (t) dt, 4. F 2 for what value of x does g (x) have a maximum? 1. x = 6 5. F 6. F π 6 π 6 π 6 π 6 π 6 π 6 √ = 2 3 e−3 = −4 e−2 = −4e−3 √ = 2 3 e−2 = 2 e−2 √ = 4 3 e−3 005 2. x = 2 10.0 points Determine F (x) when 3. x = 8 x2 4 1 + t2 dt F ( x) = 4. not enough information given 2 5. x = 7 1. F (x) = 8x 1 + x2 6. x = 3.5 2. F (x) = 4x2 003 10.0 points 3. F (x) = 8x 1 + x4 If x2 4 t5 dt , 4. F (x) = √ 4 x2 1 + x4 5. F (x) = √ 4x 1 + x2 6. F (x) = √ d F ( x) = dx 8x 1 + x2 0 determine the value of F (1). 1. F (1) = 8 2. F (1) = 40 006 8 3. F (1) = 3 4 4. F (1) = 3 10.0 points When F is defined on (0, ∞) by x F ( x) = 0 5. F (1) = 16 004 1 + x4 10.0 points t dt , 4 + t2 determine the interval(s) on which the graph of F is concave up. tran (pt4954) – 5.3 – campisi – (54970) 1. 0, 1 2 2. (2, ∞) 3. (0, 2) 4. 5. 6. 1 ,∞ 2 1 0, , 2 1 ,2 2 (2, ∞) 3 ...
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