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## Multivariable calculus

### Unit 4: Lesson 8

Change of variables

# Change of variables: Bound

## Problem

f, left parenthesis, x, comma, y, right parenthesis, equals, x, minus, 3, y
We have a change of variables:
\begin{aligned} x &= X_1(u, v) = \dfrac{u}{5} + \dfrac{v}{4} \\ \\ y &= X_2(u, v) = \dfrac{u}{2} - \dfrac{v}{2} \end{aligned}
What is f, left parenthesis, x, comma, y, right parenthesis under the change of variables?