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Write a Set of Parametric Equations for the Surface of Revolution

Question 104

Multiple Choice

Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis.
y=x7,0x21x-axis y = \frac { x } { 7 } , 0 \leq x \leq 21 \quad x \text {-axis }


A)
z=u,x=u7cosv,y=u7sinv,0u21,0v2πz = u , x = \frac { u } { 7 } \cos v , y = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi
B)
y=u,x=u7cosv,z=u7sinv,0u21,0v2πy = u , x = \frac { u } { 7 } \cos v , z = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi
C)
x=u,y=v7sinv,z=v7cosv,0u21,0v2πx = u , y = \frac { v } { 7 } \sin v , z = \frac { v } { 7 } \cos v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi
D)
y=u,x=u7sinv,z=u7cosv,0u21,0v2πy = u , x = \frac { u } { 7 } \sin v , z = \frac { u } { 7 } \cos v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi
E)
x=u,y=u7cosv,z=u7sinv,0u21,0v2πx = u , y = \frac { u } { 7 } \cos v , z = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi

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