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Solve the Problem V(x)=5x2V ( x ) = 5 x ^ { 2 }

Question 138

Multiple Choice

Solve the problem.
-The volume of a rectangular box with square base and a height of 5 feet is V(x) =5x2V ( x ) = 5 x ^ { 2 } , where xx is the length of a side of the base. Find the instantaneous rate of change of volume with respect to xx when x=3x = 3 feet.


A) 45ft3/ft45 \mathrm { ft } ^ { 3 } / \mathrm { ft }
B) 30ft3/ft30 \mathrm { ft } ^ { 3 } / \mathrm { ft }
C) 6ft3/ft6 \mathrm { ft } ^ { 3 } / \mathrm { ft }
D) 15ft3/ft15 \mathrm { ft } ^ { 3 } / \mathrm { ft }

Correct Answer:

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