Chapter 6.3, Problem 72E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Determining if a Function Is Homogeneous InExercises 69-76, determine whether the function is homogeneous. and if it is, determine its degree. A function f ( x, y ) is homogeneous of degree n if f ( t x , t y ) = t n f ( x , y ) . f ( x , y ) = x 2 e y / x + y 2

To determine
Whether the function f(x,y)=x2eyx+y2 is homogeneous or not. If the function is homogeneous, then calculate its degree.

Explanation

Given:

The function is f(x,y)=x2eyx+y2.

Explanation:

If a function is homogeneous of degree n.

Then,

f(tx,ty)=tnf(x,y) âˆ€t

Consider the provided function,

f(x,y)=x2eyx

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