?

Free Version

Upgrade subject to access all content

Difficult

Spherical to Rectangular (Equation)

MVCALC-LE8UBV

Let $S$ be the surface whose equation in spherical coordinates is $\phi =\pi /4$.

What is the equation of $S$ in rectangular coordinates?

A

$x^2+y^2=z^2$

B

$x^2+y^2=2z^2$, $z\geq 0$

C

$x^2+y^2=z^2$, $z\geq 0$

D

$x^2-y^2=z^2$

E

$x^2+y^2=z^2+1$, $z\geq 0$