Answer: Use a CAS to perform the following steps for each

Chapter 13, Problem 71CE

(choose chapter or problem)

Use a CAS to perform the following steps for each of the functions in Exercises 69–72.

a. Plot the surface over the given rectangle.

b. Plot several level curves in the rectangle.

c. Plot the level curve of $f$ through the given point.

$f(x, y)=\sin (x+2 \cos y), \quad-2 \pi \leq x \leq 2 \pi, \quad-2 \pi \leq y \leq 2 \pi, \quad P(\pi, \pi)$

Equation Transcription:

$f$

$f(x,y)\ =\ sin\ (x+\ 2\ cos\ y),\ \ \ \ \ -2\pi{}\leq{}\ x\ \leq{}\ 2\pi{},\ \ \ \ \ -2\pi{}\leq{}\ y\ \leq{}2\pi{},\ \ \ \ \ \ P\ (\pi{},\ \pi{})$

Text Transcription:

f(x,y) = sin (x+ 2 cos y), -2 < or = x < or = 2, -2pi < or = y < or = 2pi, P (pi,pi )

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