   Chapter 14.1, Problem 74E

Chapter
Section
Textbook Problem

Use a computer to graph the function using various domains and viewpoints. Get a printout that gives a good view of the “peaks and valleys.” Would you say the function has a maximum value? Can you identify any points on the graph that you might consider to be “local maximum points”? What about “local minimum points”?74. f ( x , y ) = x y e − x 2 − y 2

To determine

To sketch: The graph of the function f(x,y)=xyex2y2 and find local maximum or minimum.

Explanation

Consider the function, f(x,y)=xyex2y2

The given equation can be expressed as z=xyex2y2 and its graph occurs in three dimentional graph.

Thus, the graph of the function f(x,y)=xyex2y2 is shown below in Figure 1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Rationalize the numerator: x1x1.

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Write an inequality for each graph:

Elementary Technical Mathematics

Differentiate the function. f(t) = 1.4t5 2.5t2+ 6.7

Single Variable Calculus: Early Transcendentals

Find the exact area of the 1350 sector shown. _

Elementary Geometry for College Students

j × (−k) = i −i j + k −j − k

Study Guide for Stewart's Multivariable Calculus, 8th 