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.
$y = \frac { x } { 7 } , 0 \leq x \leq 21 \quad x \text {-axis }$

• A)
• \(z = u , x = \frac { u } { 7 } \cos v , y = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi\)
• B)
• \(y = u , x = \frac { u } { 7 } \cos v , z = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi\)
• C)
• \(x = u , y = \frac { v } { 7 } \sin v , z = \frac { v } { 7 } \cos v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi\)
• D)
• \(y = u , x = \frac { u } { 7 } \sin v , z = \frac { u } { 7 } \cos v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi\)
• E)
• \(x = u , y = \frac { u } { 7 } \cos v , z = \frac { u } { 7 } \sin v , 0 \leq u \leq 21,0 \leq v \leq 2 \pi\)

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