Use the accompanying graph of a particle moving on a coordinate line with velocity v = f(t) in ft/sec at time t seconds. The axes are marked off at one-unit intervals. Use these terms to describe the motion state: moving forward/backward, increasing/decreasing speed, and resting. Recall that speed = 
. 
Give the interval(s) when the speed of the particle is increasing.
A. (0, 2), (5, 6), and (11, 13)
B. (0, 2), (5, 6), (11, 13), and (21, 23)
C. (0, 2), (5, 6), and (21, 23)
D. (0, 6), (11, 15), and (19, 23)
Answer: B
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Find the derivative of the function by first expanding or simplifying the expression. f(x) = (6x - 4)(4x + 1)
A. f'(x) = 48x - 22 B. f'(x) = 24x - 10 C. f'(x) = 48x - 5 D. f'(x) = 48x - 10
Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.y = 3x, y = - 
, x = 1
A. 
?
B. 
?
C. 10?
D. 
?
Factor by grouping.r3 + 4 + r2 + 4r
A. (r + 4)(r2 + 4) B. (r + 4)(r2 + 1) C. (r - 4)(r2 + 1) D. (r + 1)(r2 + 4)
Use the formula for future value, 
to find the missing quantity.P = $1800; r = 3%; t = 6 years
A. A = $2124 B. A = $1476 C. A = $11,124 D. A = $3924