Differentiate.y = 
A. ex + 
B. 
C. 
D. 
Answer: D
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Use L'Hospital's rule to find the limit.
A. 12 B. 18 C. -15 D. 21
Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is 
. What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Find the function with the given derivative whose graph passes through the point P.r'(t) = sec2t - 4, P(0, 0)
A. r(t) = tan t - 4t B. r(t) = sec t - 4t - 4 C. r(t) = sec t tan t - 4t -1 D. r(t) = sec t - t - 6
Simplify the expression log,25
a. 2 + log, 3 b. 15 log, 2 c. 3 d. 2 log,3 e. The expression cannot be simplified.