Preview Activity 10.4.1 Let f(x, y) = 6-2-², and let (To, yo) = (1,1). a. Evaluate f(x, y) = 6-2-y² and its partial derivatives at (ro, yo); that is, find f(1, 1), fz(1, 1), and fy(1, 1).
Preview Activity 10.4.1 Let f(x, y) = 6-2-², and let (To, yo) = (1,1). a. Evaluate f(x, y) = 6-2-y² and its partial derivatives at (ro, yo); that is, find f(1, 1), fz(1, 1), and fy(1, 1).
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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Please help with a and b
Transcribed Image Text:Preview Activity 10.4.1 Let f(x, y) = 6-2-y², and let (To, yo) = (1, 1).
a. Evaluate f(x, y) = 6-2-² and its partial derivatives at (ro, yo); that
is, find f(1,1), fz(1,1), and fy(1,1).
b. We know one point on the tangent plane; namely, the z-value of the
tangent plane agrees with the z-value on the graph of f(x, y) = 6-²-²
at the point (To, yo). In other words, both the tangent plane and the
graph of the function f contain the point (zo, yo, zo). Use this observation
to determine zo in the expression z = zo + a(z-To) + b(y-yo).
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