Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 16 - Multiple Integration - Chapter Review Exercises - Page 907: 11

Answer

$1$

Work Step by Step

We are given that $G=(2u+v, 5u+3v)$ We need to compute $Jac(G)$. $Jac(G)=\begin{vmatrix} \dfrac{\partial x}{\partial u} & \dfrac{\partial x}{\partial v} \\ \dfrac{\partial y}{\partial u} & \dfrac{\partial y}{\partial v} \end{vmatrix}$ or, $=\begin{vmatrix} 2 & 1 \\ 5 & 3 \end{vmatrix}$ or, $=(2)(3) -(5)(1)$ Thus, we get: $Jac(G)=1$
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