(a) For g(x, y) = √x² + 3y+9, 2 3 5' 10 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 4). Vg(2,4)= < Linear approximation = 2x 5 + 3y 10 - 3 (c) Use the approximation in part (b) to estimate g(1.98, 4.01). g(1.98, 4.01) -1.005

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) For g(x, y)
=
Vg(2,4)= <
√x² + 3y + 9,
2 3
5' 10
(b) Find the best linear approximation of g(x, y) for (x, y) near (2, 4).
Linear approximation =
2x
5
3y
+
10
- 3
(c) Use the approximation in part (b) to estimate g(1.98, 4.01).
g(1.98, 4.01) -1.005
Transcribed Image Text:(a) For g(x, y) = Vg(2,4)= < √x² + 3y + 9, 2 3 5' 10 (b) Find the best linear approximation of g(x, y) for (x, y) near (2, 4). Linear approximation = 2x 5 3y + 10 - 3 (c) Use the approximation in part (b) to estimate g(1.98, 4.01). g(1.98, 4.01) -1.005
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