Join our free STEM summer bootcamps taught by experts. Space is limited.Register Here 🏕

YZ

# Find the Jacobian $\partial(x, y, z) / \partial(u, v, w)$ of the transformation\begin{equation}\begin{array}{l}{\text { a. } x=u \cos v, \quad y=u \sin v, \quad z=w} \\ {\text { b. } x=2 u-1, \quad y=3 v-4, \quad z=(1 / 2)(w-4)}\end{array}\end{equation}

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

super probably a. We have X equals huge holes and me Why's you signed me? Lindsay's w to the decoding gives us goes on TV months you sign me zero It's Ivy Yukos Ivory 0001 to record A definition for carbon is actually doubt Affects one z over doubt of you be w So calculate the determinant it gives us you. And for Darby, we have X is to you minus one wires three B minus four Z is Devon minus four over too. Again calculate that you kill be which is still the X was you without a u V w. We have 20003000 I half. So the answer is three.

YZ
University of Illinois at Urbana-Champaign

#### Topics

Limits

Integrals

Multiple Integrals

Lectures

Join Bootcamp