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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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Section
BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Graph the function and observe where it is discontinuous. Then use the formula to explain what you have observed.

27. f(x, y) = e1/(xy)

To determine

To sketch: The function f(x,y)=e1(xy) and find where it is discontinuous; explain the observation using formula.

Explanation

The given function is, f(x,y)=e1(xy).

Use online calculator and sketch the graph of f(x,y)=e1(xy) as shown below in Figure 1.

From Figure 1, it is noted that the given function is not continuous along the line y=x and hence the break occurs in the graph.

So, it can be concluded that the function is discontinuous on the line y=x

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Chapter 14 Solutions

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