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...
icon
Related questions
Question
Please help with a and b
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).
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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning