Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - Review - Exercises - Page 1023: 26


(a) $z=x+1$ (b) $x=1-z$, $y=0$

Work Step by Step

$z=e^xcosy$ and $(0,0,1)$ (a) Equation for a tangent plane is given as: $z-1=1(x-0)+0(y-0)$ $z-1=x$ $z=x+1$ (b) $x-z+1=0$ Equation of normal line is: $\frac{x-0}{1}=\frac{y-0}{0}=\frac{z-1}{-1}$ $x=1-z$, $y=0$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.