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Multivariable Calculus

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Moderate

Surface by Cylindrical Equation

MVCALC-ABJOIO

Let $S$ be a surface given by the cylindrical equation $\theta = \pi /4$.

What kind of surface is $S$?

A

A plane that is perpendicular to the $xy$-plane and intersects that plane in the a line that does not contain the origin and has slope $-1$.

B

A plane that is perpendicular to the $xy$-plane and intersects that plane in the a line that does not contain the origin and has slope $1$.

C

A plane that is parallel to the $xy$-plane.

D

A plane that is perpendicular to the $xy$-plane and intersects that plane in the a line that contains the origin and has slope $2$.

E

A plane that is perpendicular to the $xy$-plane and intersects that plane in the a line that contains the origin and has slope $1$.