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Find the Area of the Surface Generated by Revolving the Curve

Question 87

Multiple Choice

Find the area of the surface generated by revolving the curve about the indicated axis.
- y=x,3/2x9/2;xy = \sqrt { x } , 3 / 2 \leq x \leq 9 / 2 ; x -axis


A) (19196776) π\left( \frac { 19 \sqrt { 19 } } { 6 } - \frac { 7 \sqrt { 7 } } { 6 } \right) \pi
B) 772π\frac { 7 \sqrt { 7 } } { 2 } \pi
C) (77236) π\left( \frac { 7 \sqrt { 7 } } { 2 } - \frac { \sqrt { 3 } } { 6 } \right) \pi
D) 776π\frac { 7 \sqrt { 7 } } { 6 } \pi

Correct Answer:

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