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