Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -4) = 2 and fy(-8, –4) = -3. Given that f(-8,-4) = –9, use this information to estimate the value of f(-7, –3). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(-8,-3) Estimate of (integer value) f(-7,-4) Estimațe of (integer value) f(-7,-3)

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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Suppose that f(1, y) is a smooth function and that its partial derivatives have the values, f-(-8,-4) = 2 and fy(-8, -4) = -3. Given that f(-8,-4) = -9, use this
information to estimate the value of f(-7, -3). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor
approximation.
Estimate of (integer value) f(-8,-3)
Estimate of (integer value) f(-7,-4)
Estimațe of (integer value) f(-7,-3)
Transcribed Image Text:Suppose that f(1, y) is a smooth function and that its partial derivatives have the values, f-(-8,-4) = 2 and fy(-8, -4) = -3. Given that f(-8,-4) = -9, use this information to estimate the value of f(-7, -3). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(-8,-3) Estimate of (integer value) f(-7,-4) Estimațe of (integer value) f(-7,-3)
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