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Find the Area of the Surface Generated by Revolving the Curves

Question 206

Multiple Choice

Find the area of the surface generated by revolving the curves about the indicated axis.
- x=t+30,y=t22+30t,30t30;yx = t + \sqrt { 30 } , y = \frac { t ^ { 2 } } { 2 } + \sqrt { 30 } t , - \sqrt { 30 } \leq t \leq \sqrt { 30 } ; y -axis


A) 13303π\frac { 1330 } { 3 } \pi
B) 1330π1330 \pi
C) 532π532 \pi
D) 26603π\frac { 2660 } { 3 } \pi

Correct Answer:

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