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Find the Area of the Surface Generated by Revolving the Curve

Question 86

Multiple Choice

Find the area of the surface generated by revolving the curve about the x-axis. y=4x,1x7y = 4 \sqrt { x } , 1 \leq x \leq 7


A) 13(44322032) π\frac { 1 } { 3 } \left( 44 ^ { \frac { 3 } { 2 } } - 20 ^ { \frac { 3 } { 2 } } \right) \pi
B) 23(3232832) π\frac { 2 } { 3 } \left( 32 ^ { \frac { 3 } { 2 } } - 8 ^ { \frac { 3 } { 2 } } \right) \pi
C) 13(3232832) π\frac { 1 } { 3 } \left( 32 ^ { \frac { 3 } { 2 } } - 8 ^ { \frac { 3 } { 2 } } \right) \pi
D) 23(44322032) π\frac { 2 } { 3 } \left( 44 ^ { \frac { 3 } { 2 } } - 20 ^ { \frac { 3 } { 2 } } \right) \pi
E) 16(3232832) π\frac { 1 } { 6 } \left( 32 ^ { \frac { 3 } { 2 } } - 8 ^ { \frac { 3 } { 2 } } \right) \pi

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