x = 0.99 1 1.01 y = 1.49 0.0300 0.0297 0.0294 y = 1.5| 0.0263 0.0260 0.0258 y = 1.51 0.0226 0.0224 0.0221 Notice if the two tables look nearly linear, and whether the second looks more linear than the particular, think about how you would decide if they were linear, or if the one were more clos linear than the other). (c) Give the local linearization of f(x, y) = e=² cos(y) at (1, 1.5): Using the second of your tables: f(x, y) = 0.0260-0.025(x-1)-0.365(y-1.5) Using the fact that fr(x, y) = -e cos(y) and fy(x, y) = -e sin(y): f(x, y) e^(1.5)sin(1)+e^(1.5)cos(1)(x-1)+e^(1.5)ln(e)sin(1)(y-1.5) %D
x = 0.99 1 1.01 y = 1.49 0.0300 0.0297 0.0294 y = 1.5| 0.0263 0.0260 0.0258 y = 1.51 0.0226 0.0224 0.0221 Notice if the two tables look nearly linear, and whether the second looks more linear than the particular, think about how you would decide if they were linear, or if the one were more clos linear than the other). (c) Give the local linearization of f(x, y) = e=² cos(y) at (1, 1.5): Using the second of your tables: f(x, y) = 0.0260-0.025(x-1)-0.365(y-1.5) Using the fact that fr(x, y) = -e cos(y) and fy(x, y) = -e sin(y): f(x, y) e^(1.5)sin(1)+e^(1.5)cos(1)(x-1)+e^(1.5)ln(e)sin(1)(y-1.5) %D
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...
Related questions
Question
100%
i need help with the last question in red

Transcribed Image Text:0.99
1
1.01
y = 1.49
0.0300
0.0297
0.0294
y = 1.5
0.0260
0.0263
0.0258
y = 1.51
0.0226
0.0224
0.0221
Notice if the two tables look nearly linear, and whether the second looks more linear than the first (in
particular, think about how you would decide if they were linear, or if the one were more closely
linear than the other).
(c) Give the local linearization of f(x, y)
Using the second of your tables:
= e- cos(y) at (1, 1.5):
f(x, y) - 0.0260-0.025(x-1)-0.365(y-1.5)
Using the fact that fa(x, y) = -e cos(y) and fy (x, y) = -e sin(y):
f(x, y) = e^(1.5)sin(1)+e^(1.5)cos(1)(x-1)+e^(1.5)ln(e)sin(1)(y-1.5)
6.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning