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Multivariable Calculus

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Moderate

Rectangular to Cylindrical (Equation)

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Let $S$ be a surface given by the rectangular equation $y=4x^2$.

What is the cylindrical equation of $S$?

A

$4r^2=\tan \theta \cdot \sec \theta $

B

$4r=\tan \theta \cdot \csc \theta $

C

$4r=\tan \theta \cdot \sec \theta $

D

$4r=cot \theta \cdot \sec \theta $

E

$4r=\cot \theta \cdot \cos \theta $