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Mathematics, 09.04.2021 08:50 lolfunny124

1. Find the average value of f(x) = 2(x^2+1)/x^2 on [1,3]. A. 2

B. 8/3

C. 3

D. 18/9

E. 16/3

2. What is the approximate distance a particle travels from time t = 0 seconds to t = 4 seconds if the velocity of the particle (measured in feet per second) is given by v(t) = e^t - t^2 ?

A. 32.26 ft

B. 33.26 ft

C. 50.60 ft

D. 74.93 ft

E. 75.93 ft

3. Find the area, in square units, of the region R bounded by y = sqrt(x), y= -sqrt(x), and x=4. Use symmetry to help you evaluate the area.

A. 256/3

B. 144/3

C. 128/3

D. 64/3

E. 32/3

4. Evaluate INT(3,0)(-x^3-2x^2+x-1)dx

A. 39.75

B. 36.75

C. 30.75

D. -30.75

E. -36.75

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Answers: 2

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1. Find the average value of f(x) = 2(x^2+1)/x^2 on [1,3]. A. 2

B. 8/3

C. 3
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