5. Find the linear approximation of f (x, y, z) = x³y² + 22 at the point (2, 3,4). Use this to estimate the number (1.98)³√/3.01)²+(3.97)².

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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(b) z = x cosh y+ysinh x.
(c) w = x²yz² + xy²z+x+y+z.
5. Find the linear approximation of f(x, y, z) = x³ √y² + z² at the point (2, 3, 4). Use this to estimate the
number (1.98)3√3.01)² + (3.97)².
6. The quadratic Taylor approximation of f(x, y) near (x, y) = (a, b) is given by
frr (a,b)
2
fyy (a, b)
Transcribed Image Text:(b) z = x cosh y+ysinh x. (c) w = x²yz² + xy²z+x+y+z. 5. Find the linear approximation of f(x, y, z) = x³ √y² + z² at the point (2, 3, 4). Use this to estimate the number (1.98)3√3.01)² + (3.97)². 6. The quadratic Taylor approximation of f(x, y) near (x, y) = (a, b) is given by frr (a,b) 2 fyy (a, b)
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