# 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: $\frac{x-0}{1}=\frac{y-0}{0}=\frac{z-1}{-1}$ $x=1-z$, $y=0$

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