Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve 
at 
is f'(a). Use f'(x) to find the slope of the tangent to 
at the given value of x.f'(x) = -x4 + 3x3 + 5x2 - 8x + 13 at x = 2
A. 25
B. 31
C. 57
D. -1
Answer: A
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Find the indicated vector.Let u = 
, v = 
. Find v - u.
A. 
B. 
C. 
D. 
Solve the problem.A plastic rod used in manufacturing boats must be rejected if it differs in length from the standard length, s, by 0.01 inches or more. If the length of a rod is denoted by l, engineers express this relationship as 
. What are the values of l for which the part will be rejected, if the standard length is 14.25 inches?
A. l ? 14.26 B. 14.24 ? l ? 14.26 C. l ? 14.24 or l ? 14.26 D. l ? 14.22 or l ? 14.27
Solve.6(x - 1.1) = 9.3
A. 1.733 B. 2.65 C. 1.367 D. 15.9
Solve the problem.In a 1-mile race, the winner crosses the finish line 10 feet ahead of the second-place runner and 30 feet ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 feet in 1 mile.)
A. -20.11 ft B. 10.02 ft C. -10.06 ft D. 20.04 ft