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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.

g ( x , y ) = ln | x + y |

(a) g(2, 3) (b) g(5, 6) (c) g(e, 0)

(d) g(0, 1) (e) g(2, -3) (f) g(e, e)

(a)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=2 and y=3.

Explanation

Given Information:

The provided two variable function is g(x,y)=ln|x+y|.

Formula used:

Modulus property:

|a|=a,when a>0,|a|=a,when a<0, where a is any real number.

Calculation:

Consider two variable function,

g(x,y)=ln|x+y|

Now substitute the value of x=2 and y=3 in g(x,y)=ln|x+y|

(b)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=5 and y=6.

(c)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=e and y=0.

(d)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=0 and y=1.

(e)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=2 and y=3.

(f)

To determine

To calculate: The value of two variable function g(x,y)=ln|x+y| at x=e and y=e.

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