   Chapter 7.3, Problem 15E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Domain and Range of a Function In Exercises 15–30, find the domain and range of the function. See Example 2. f ( x , y ) = 16 − x 2 − y 2

To determine

To calculate: The domain and range of the function f(x,y)=16x2y2.

Explanation

Given Information:

The provided function is f(x,y)=16x2y2.

Formula used:

Multiplication property: The resultant equation will be equivalent to the original equation, if the same non-zero quantity is multiplied on both sides of the equation.

The equation of a circle is given as:

x2+y2=z2

Where, z is the radius of the circle.

Calculation:

Consider the function is f(x,y)=16x2y2.

The quantity inside the square root must be non-negative.

16x2y20x2y216

Apply multiplication property of equality by multiplying 1 on both sides of the above equation and reverse the sign of inequality

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