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

Oh no! Our educators are currently working hard solving this question.

In the meantime, our AI Tutor recommends this similar expert step-by-step video covering the same topics.



Numerade Educator



Problem 3 Easy Difficulty

\begin{array}{l}{\text { a. Solve the system }} \\ {u=3 x+2 y, \quad v=x+4 y} \\ {\text { for } x \text { and } y \text { in terms of } u \text { and } v . \text { Then find the value of the }} \\ {\text { Jacobian } \partial(x, y) / \partial(u, v) .} \\ {\text { b. Find the image under the transformation } u=3 x+2 y} \\ {v=x+4 y \text { of the triangular region in the } x y \text { -plane bounded }}\\{\text { by the } x \text { -axis, the } y \text { -axis, and the line } x+y=1 . \text { Sketch the }} \\ {\text { transformed region in the } u v \text { -plane. }}\end{array}


Final answer shown in solution


You must be signed in to discuss.

Video Transcript

{'transcript': "So first we have new Equus to two X minus three way and agree Eco's well, im on his ex. It's a soft exploit for you, B We're gonna have executes two connective. You plus three. And why? Because nectar you plus two b So the geico been is next. 12312 The answer is thinking one. And for the region we know that in the orders for playing, we have executed three with Transforms to you plus three weeks in for three x zero It's gonna goes to you plus three equals zero in the White House to ex transformed to vehicle Ciro. Why? Because Jax plus one chance for him to be equals one. So at the last, at last, we're gonna have a program. Oh, no. Where are you? You will be playing. So it's gonna basically look at this. Here is one. And, uh, next three. Whoa. Here's 30 This is 01 and this is 00 It's a little grand, Mr. Region"}

University of Illinois at Urbana-Champaign
Top Calculus 3 Educators
Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor