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Use a CAS to perform the following steps for each of the functions.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.$$\begin{array}{l}f(x, y)=e^{\left(x^{01}-y\right)} \sin \left(x^{2}+y^{2}\right), \quad 0 \leq x \leq 2 \pi \\-2 \pi \leq y \leq \pi, \quad P(\pi,-\pi)\end{array}$$

$$0 \leq x \leq 2 \pi,-2 \pi \leq y \leq \pi$$$$f(x, y)$$$$P(f(x, y)=55.1673)$$

Calculus 3

Chapter 14

Partial Derivatives

Section 1

Functions of Several Variables

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12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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02:04

Use a CAS to perform the f…

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02:36

05:01

02:40

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