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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Describe the level curves of f ( x ,   y ) = x 2 + y . Sketch the level curves for c = 0, 1, 2, 3,4, and 5.

To determine

To graph: The level of curves of the function f(x,y) for c=0,1,2,3,4and5.

Explanation

Given Information:

The provided function is f(x,y)=x2+y.

Graph:

For obtaining level of curve for different values of, substitute f(x,y)=c for the particular value.

Consider the given function,

f(x,y)=x2+y

Now, substitute the values in above equation c=0,1,2,3,4and5.

c=0f(x,y)=0x2+y=0

And,

c=1f(x,y)=1x2+y=1

And,

c=2f(x,y)=2x2+y=2

And,

c=3f(x,y)=3x2+y=3

And,

c=4f(x,y)=</

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