Solve the problem.The volume of a rectangular box with square base and a height of 5 feet is V(x) = 5x2, where x is the length of a side of the base. Find the instantaneous rate of change of volume with respect to x when x = 3 feet.
A. 15 ft3/ft
B. 6 ft3/ft
C. 30 ft3/ft
D. 45 ft3/ft
Answer: C
Mathematics
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x8/3
A. 
x11/8
B. 
x11/3
C. 
x11/8
D. 
x11/3
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Find the length of the curve.The spiral r = 4?, 0 ? ? ? ?
A. 
B. 4
C. 
((?2 + 1)3/2 - 4)
D. 2(?
+ ln (? + 
))
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Find the perimeter or circumference.
A. 36 ft B. 18 ft C. 8 ft D. 28 ft
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The graph of a function f is given. Use the graph to answer the question.Find the numbers, if any, at which f has a local maximum. What are the local maxima?
A. f has a local maximum at x = 1; the local maximum is 2 B. f has a local maximum at x = -1 and 1; the local maximum is 0 C. f has a local maximum at x = 0; the local maximum is 2 D. f has no local maximum
Mathematics