Find a Parametric Representation for the Surface $z = x ^ { 2 } + y ^ { 2 }$

question 77

Multiple Choice

Find a parametric representation for the surface $z = x ^ { 2 } + y ^ { 2 }$

• A) \(x = r \sin \theta\) , \(y = r \sin \theta\) , \(z = r\)
• B) \(x = r \sin \theta\) , \(y = r \sin \theta\) , \(z = r ^ { 2 }\)
• C) \(x = r \cos \theta\) , \(y = r \cos \theta\) , \(z = r\)
• D) \(x = r \cos \theta\) , \(y = r \cos \theta\) , \(z = r ^ { 2 }\)
• E) \(x = \cos \theta\) , \(y = \sin \theta\) , \(z = r\)
• F) \(x = \cos \theta\) , \(y = \sin \theta\) , \(z = r ^ { 2 }\)
• G) \(x = r \cos \theta\) , \(y = r \sin \theta\) , \(z = r\)

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