5. On the surface z-3x^2+2y^2 (an elliptic paraboloid), (x,y) changes from (1,1) to (0.99,1.02). Use the differential dz to approximate the change Az in the value of z
5. On the surface z-3x^2+2y^2 (an elliptic paraboloid), (x,y) changes from (1,1) to (0.99,1.02). Use the differential dz to approximate the change Az in the value of z
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
Ignore the top, cut off question
![a. 2y+z-3
b.x+2y+3z-0
c. 3x-3z-6
de
d. y-3z-5
e. 3x-y+2z=-1
5. On the surface z=3x^2+2y^2 (an elliptic paraboloid), (x,y) changes from (1,1) to
(0.99,1.02). Use the differential dz to approximate the change Az in the value of z
Select one:
640.01)
a. Az0.02
b. Az0.018
%3D
-0,06+0.04 Zt:
c. Az-0.022
d. Az0.015
e. Az0.019
6. A function z=f(x,y) has differential
dz=4xy dx+2x^^2 dy
-5
Find an equation for the tangent plane to the graph of (x,y) at the point (1,2,5)
Select one:
de = Wzy de +2x 'dy
a. z=-2x+3y+1
b. z= 2y+1
c.z= 4x+7y-13
d. z=-3x+8
e. z= 8r+2y-7
7. Find the linearization L(x,y) of the function
Axy) =x e^xy
at the point (2,0), and use it to approximate the value of f(2.1,-0.2)
Select one:
re
a. A2.1,-0.2)-2
b. A2.1,-0.2)-0.9
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50589fea-07bb-4f50-a34c-95e031a700c5%2F905b1d87-b069-4af8-999d-7ff285f0bfbc%2F6tdl6zc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. 2y+z-3
b.x+2y+3z-0
c. 3x-3z-6
de
d. y-3z-5
e. 3x-y+2z=-1
5. On the surface z=3x^2+2y^2 (an elliptic paraboloid), (x,y) changes from (1,1) to
(0.99,1.02). Use the differential dz to approximate the change Az in the value of z
Select one:
640.01)
a. Az0.02
b. Az0.018
%3D
-0,06+0.04 Zt:
c. Az-0.022
d. Az0.015
e. Az0.019
6. A function z=f(x,y) has differential
dz=4xy dx+2x^^2 dy
-5
Find an equation for the tangent plane to the graph of (x,y) at the point (1,2,5)
Select one:
de = Wzy de +2x 'dy
a. z=-2x+3y+1
b. z= 2y+1
c.z= 4x+7y-13
d. z=-3x+8
e. z= 8r+2y-7
7. Find the linearization L(x,y) of the function
Axy) =x e^xy
at the point (2,0), and use it to approximate the value of f(2.1,-0.2)
Select one:
re
a. A2.1,-0.2)-2
b. A2.1,-0.2)-0.9
%3D
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