Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 9 - Multiveriable Calculus - 9.1 Functions of Several Variables - 9.1 Exercises - Page 467: 8

Answer

See graph

Work Step by Step

\[\begin{align} & 4x+2y+3z=24 \\ & \text{*Set }y=0\text{ and }z=0 \\ & 4x+0+0=24 \\ & x=6 \\ & \text{Plot the point }\left( 6,0,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }z=0 \\ & 0+2y+0=24 \\ & y=12 \\ & \text{Plot the point }\left( 0,12,0 \right)\text{ in the plane} \\ & \\ & \text{*Set }x=0\text{ and }y=0 \\ & 0+0+3z=24 \\ & z=8 \\ & \text{Plot the point }\left( 0,0,8 \right)\text{ in the plane} \\ & \\ & \text{Joining the points }\left( 6,0,0 \right),\left( 0,12,0 \right),\left( 0,0,8 \right)\text{ we obtain:} \\ & \text{Graph} \\ \end{align}\]
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