Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 14 - Vector Calculus - 14.6 Surface Integrals - 14.6 Exercises - Page 1123: 17

Answer

$x=u, y=v , z= 2x+3y-1$

Work Step by Step

We are given the parametric equation of the plane as: $r (u, v)=\lt u, v, 2u+3v-1\gt$ and $1 \leq u \leq 3; 2 \leq v \leq 4 $ Suppose that $u=x; y=v$ Thus, the equation of a plane can be expressed as: $x=u, y=v , z= 2x+3y-1$ for $1 \leq x \leq 3; 2 \leq y \leq 4 $
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