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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Evaluating Functions of Several Variables In Exercises 1–14, find and simplify the function values. See Example 1.

f ( x , y = x 2 2 y )

(a) f ( x + Δ x , y )

(b) f ( x , y + Δ y ) f ( x , y ) Δ y

(a)

To determine

To calculate: The value of two variable function f(x,y)=x22y at x=x+Δx and y=y.

Explanation

Given Information:

The provided two variable function is f(x,y)=x22y.

Formula used:

Sum of square property:

(a+b)2=a2+b2+2ab

Calculation:

Consider two variable function,

f(x,y)=x22y

Now substitute the value of x=x+Δx and y=y in f(x,y)=x22y

Therefore,

f(x+Δx,y)=(x+

(b)

To determine

To calculate: The value of f(x,y+Δy)f(x,y)Δy from the two variable function,

f(x,y)=x22y

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