Let 5 be a surface defined by the function f(x,y) = 3x² - 4xy + 6y² - 2x + 7y + 4. Find the equation of the tangent plane to S at the point (3,-1). z=20x-17y-19 B z=20x-17y-41 Ⓒz-20x-17y-49 z=20x-17y-40

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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Let S be a surface defined by the function f(x,y) = 3x² - 4xy + 6y² - 2x + 7y + 4. Find the equation of the tangent plane to
S at the point (3,-1).
A z=20x-17y - 19
B) z=20x-17y-41
z=20x-17y-49
Dz=20x-17y -40
Using the tangent plane approximation method, find the approximate value of f1.8, 2.8) for the function
f(x,y)=√25-3x² + y. Use (x,y) = (1, 3).
(A) 5.029
B) 8.046
3.413
4.500
Transcribed Image Text:Let S be a surface defined by the function f(x,y) = 3x² - 4xy + 6y² - 2x + 7y + 4. Find the equation of the tangent plane to S at the point (3,-1). A z=20x-17y - 19 B) z=20x-17y-41 z=20x-17y-49 Dz=20x-17y -40 Using the tangent plane approximation method, find the approximate value of f1.8, 2.8) for the function f(x,y)=√25-3x² + y. Use (x,y) = (1, 3). (A) 5.029 B) 8.046 3.413 4.500
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