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
icon
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,