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The Area of the Surface Generated by Revolving the Curve x(t)=3t,y=7t+1x ( t ) = 3 t , \quad y = \sqrt { 7 } t + 1

Question 44

Multiple Choice

The area of the surface generated by revolving the curve x(t) =3t,y=7t+1x ( t ) = 3 t , \quad y = \sqrt { 7 } t + 1 with t[0,1]t \in [ 0,1 ] about the x-axis is


A) 256πln2256 \pi \ln 2
B) 128πln2128 \pi \ln 2
C) 64πln264 \pi \ln 2
D) 32πln232 \pi \ln 2
E) 16πln216 \pi \ln 2

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