Question 1 Find the gradient. f(z,y)=22²-2zy + 4y a) OVƒ (42-2y) i b) Vf=(-2z+4) i-(4z-2y) j c) OVf=(42-2y) i-(-2z+4) j d) Vf=(-2z+4)i + (4z-2y) j e) OVf=4i+(-2z+4) j 1) O None of these.

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
fan someone explain how yo do this two?
Do not press
Question 1
Find the gradient.
f(x,y)=22²-2xy + 4y
a) OVf
(41-2y) i
b) OVƒ (-2x+4) i-(4x-2y) j
c) OVf=(4x-2y) i-(-2z+4) j
d) Vf (-21+4)i + (4x-2y) j
e) OVf=4i+(-2x+4) j
1) O None of these.
Question 2
Find the gradient.
Review Later
f(x, y) = 5 zy² sin(2²+2)
a) Vf=10 zy sin (r² + 2)i- (10 r³y² cos (2² + 2) + 5y² sin(2²+2)) j
b)
Vf=10 ay sin(z² + 2)i + (102'y' cos(2²+2)+5y² sin(2²+2)) j
c) O Vf=(30 zy² cos (2²+2)-20z³y² sin (z² + 2))i + 10 zy sin (z²+2)j
d) Vf (10z³y² cos (z² + 2) + 5y³ sin(z²+2))i + 10 zsin(z² + 2)j
e) OVƒ (5y² sin (z² + 2) + 10 z³y² cos(z² + 2))i + 10 zysin(2² + 2);
1) O None of these.
Review Later
Transcribed Image Text:Do not press Question 1 Find the gradient. f(x,y)=22²-2xy + 4y a) OVf (41-2y) i b) OVƒ (-2x+4) i-(4x-2y) j c) OVf=(4x-2y) i-(-2z+4) j d) Vf (-21+4)i + (4x-2y) j e) OVf=4i+(-2x+4) j 1) O None of these. Question 2 Find the gradient. Review Later f(x, y) = 5 zy² sin(2²+2) a) Vf=10 zy sin (r² + 2)i- (10 r³y² cos (2² + 2) + 5y² sin(2²+2)) j b) Vf=10 ay sin(z² + 2)i + (102'y' cos(2²+2)+5y² sin(2²+2)) j c) O Vf=(30 zy² cos (2²+2)-20z³y² sin (z² + 2))i + 10 zy sin (z²+2)j d) Vf (10z³y² cos (z² + 2) + 5y³ sin(z²+2))i + 10 zsin(z² + 2)j e) OVƒ (5y² sin (z² + 2) + 10 z³y² cos(z² + 2))i + 10 zysin(2² + 2); 1) O None of these. Review Later
Expert Solution
steps

Step by step

Solved in 2 steps

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