# Parametric representation for the surface

• Nov 19th 2009, 07:08 PM
purplerain
Parametric representation for the surface
Find a parametric representation for the surface. Parametrize with respect to y and θ. (To enter θ, type theta.)
The part of the cylinder$\displaystyle x^2 + z^2 = 1$ that lies between the planes y = -1 and y = 3
x = sin(θ)
y =
z =
$\displaystyle where\ 0 \leq theta \leq \pi$
• Nov 19th 2009, 10:05 PM
redsoxfan325
Quote:

Originally Posted by purplerain
Find a parametric representation for the surface. Parametrize with respect to y and θ. (To enter θ, type theta.)
The part of the cylinder$\displaystyle x^2 + z^2 = 1$ that lies between the planes y = -1 and y = 3
x = sin(θ)
y = y
z = cos(θ)
$\displaystyle {\color{red}-1\leq y\leq3}$
$\displaystyle where\ 0 \leq \theta \leq \pi$

These are the standard cylindrical coordinates.
• Nov 20th 2009, 05:03 AM
purplerain
Quote:

Originally Posted by redsoxfan325
These are the standard cylindrical coordinates.

This is correct, but a brief explanation would be appreciated, or a helpful link.
• Nov 20th 2009, 01:44 PM
redsoxfan325
Check out the Wolfram page.