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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Let f ( x , y , z ) = x + y + z + ln ( 4 x 2 y 2 z 2 ) .

(a) Evaluate f(1, 1, 1).

(b) Find and describe the domain of f.

(a)

To determine

To evaluate: The value of the function F(x,y,z)=x+y+z+ln(4x2y2z2) at x=1,y=1 and z=1 .

Explanation

Substitute 1 for x , 1 for y and 1 for z in the given function,

F(1,1,1)=1+1+1+ln(4121212)=1+1+1+ln(43)=3+ln

(b)

To determine

To find: The domain of the function F(x,y,z)=x+y+z+ln(4x2y2z2) and describe it.

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Chapter 14 Solutions

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