Register to reply

Calc 3 Coordinate questions

by JasonJo
Tags: calc, coordinate
Share this thread:
JasonJo
#1
Oct23-05, 08:55 PM
JasonJo's Avatar
P: 431
1) Rewrite the following expression in polar coordinates:
(second derivative of z with respect to x) + (second derivative of z with respect to y)

where x=rcos(theta)
y = rsin(theta)

i had first derivative of z with respect to x = (dz/dx)(dx/dr) + (dz/dx)(dx/d(theta))

same concept for y

and then i just took the derivative of my dz/dz and dz/dy variables again

2) describe this surface in cylindrical coordinates
z = rcos3(phi)

express in cartesian coordinates

i really do not get cartesian coordinates

can anyone show me the generic method?

3) x = psin(phi)cos(theta)
y = psin(phi)sin(theta)
z = pcos(phi)

near which points of R^3 can we solve for: p phi and theta in terms of x, y and z, describe the geometry behind your answer.

again, i am really really weak in coordinate systems.

any help is appreciated, thanks guys
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds
mathmike
#2
Oct24-05, 07:04 AM
P: 211
what does z = in #1

x = p sin phi cos theta

y =p sin phi sin theta

z = p cos phi


Register to reply

Related Discussions
Help with some Calc questions Calculus 0
Some calc questions Precalculus Mathematics Homework 10
Some quick calc questions Introductory Physics Homework 8
A few Vector calc questions. Calculus 9
A few Calc questions. General Math 6