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18. Let g(t) be a differentiable function such that g(2) = 3, g(3) = 4, g'(2) = 5, and g '(3) = 6. Use differentials (linearization) to approximate the value of f(0.90, 1.05), where f(x, y)= e¹-xy · g(ey-x + y²). +y³.

18. Let g(t) be a differentiable function such that g(2) = 3, g(3) = 4, g'(2) = 5, and g '(3) = 6. Use differentials (linearization) to approximate the value of f(0.90, 1.05), where f(x, y)= e¹-xy · g(ey-x + y²). +y³.

Calculus: Early Transcendentals
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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18. Let g(t) be a differentiable function such that g(2) = 3, g(3) = 4, g′(2) = 5, and g ′(3) = 6. Use differentials (linearization) to approximate the value of f(0.90, 1.05), where f(x, y) = e¹-xy + y³ · g(ey-x + y²). .
Transcribed Image Text:18. Let g(t) be a differentiable function such that g(2) = 3, g(3) = 4, g′(2) = 5, and g ′(3) = 6. Use differentials (linearization) to approximate the value of f(0.90, 1.05), where f(x, y) = e¹-xy + y³ · g(ey-x + y²). .
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