The rectangular equation for the parametric surface and $x ( u , v ) = 4 \cos v \cos u$ is

A) $- \frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } + \frac { z } { 9 } = 1$
B) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 16 } - \frac { z } { 9 } = 1$
C) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } + \frac { z ^ { 2 } } { 9 } = 1$
D) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 16 } + \frac { z } { 9 } = 1$
E) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } - \frac { z ^ { 2 } } { 9 } = 1$

Question

The rectangular equation for the parametric surface and $x ( u , v ) = 4 \cos v \cos u$ is

A) $- \frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } + \frac { z } { 9 } = 1$
B) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 16 } - \frac { z } { 9 } = 1$
C) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } + \frac { z ^ { 2 } } { 9 } = 1$
D) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 16 } + \frac { z } { 9 } = 1$
E) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 16 } - \frac { z ^ { 2 } } { 9 } = 1$

Quizplus · Accepted Answer

Given only $x(u,v) = 4\cos v \cos u$, without information on $y(u,v)$ and $z(u,v)$, it's impossible to accurately determine the rectangular equation for the surface. The correct answer cannot be determined from the provided information.

The Rectangular Equation for the Parametric Surface And x(u,v)=4cos⁡vcos⁡ux ( u , v ) = 4 \cos v \cos ux(u,v)=4cosvcosu

The Rectangular Equation for the Parametric Surface And $x ( u , v ) = 4 \cos v \cos u$