Draw a dependency diagram, and write a chain rule formula for and where t= h(x,y,z), x = g(u,v), y = k(u,v), and z= f(u,v). Choose the correct dependency diagram for O A. В. Oc. t=h(x,y.z) t=h(x,y,z) t=h(x,y,z) êt êt y Choose the correct chain rule formula for du O A. at д дх ду дz %3D ди дх ду дг ди at dy du dx du dy du dz du В. а at dz %3D С. а at dy t dx ди дх ди ду ди дz ди ot dz %3D O D. dt ot dx

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
ot
and
dv
where t= h(x,y,z), x=g(u,v), y = k(u,v), and
Draw a dependency diagram, and write a chain rule formula for
du
z= f(u,v).
Choose the correct dependency diagram for
du
O A.
В.
OC.
t=h(x,y.z)
t=h(x,y,z)
t=h(x,y,z)
at
ax
at
at
y
ây
u
u
Choose the correct chain rule formula for
du
O A. dt
й дх ду дz
ди дх ду дz дu
В. д
ot dx
й ду
ot dz
du
дх ди
ду ди
dz du
O C. dt
du- dx du
at dy
ot dz
+ -
+
ду ди
dz du
O D. at
ot dx
dx du
%3D
du
Transcribed Image Text:ot and dv where t= h(x,y,z), x=g(u,v), y = k(u,v), and Draw a dependency diagram, and write a chain rule formula for du z= f(u,v). Choose the correct dependency diagram for du O A. В. OC. t=h(x,y.z) t=h(x,y,z) t=h(x,y,z) at ax at at y ây u u Choose the correct chain rule formula for du O A. dt й дх ду дz ди дх ду дz дu В. д ot dx й ду ot dz du дх ди ду ди dz du O C. dt du- dx du at dy ot dz + - + ду ди dz du O D. at ot dx dx du %3D du
Choose the correct dependency diagram for
O A.
В.
C.
t=h(x,y,z)
t=h(x,y,z)
t=h(x,y,z)
at
at
at
at
at
y
y
By
az
u
V
Choose the correct chain rule formula for
O A. t
д ду
ot dz
ot dx
дх ду ду дм
%3D
dz dv
О В. д
ot dx
dx dv
%3D
|
dv
O C. t
д дх ду дz
дх ду дz ду
%3D
-
O D. t
đt dx
t dy
ot dz
%3D
+
+
dx dv
ду ду
dz dv
Transcribed Image Text:Choose the correct dependency diagram for O A. В. C. t=h(x,y,z) t=h(x,y,z) t=h(x,y,z) at at at at at y y By az u V Choose the correct chain rule formula for O A. t д ду ot dz ot dx дх ду ду дм %3D dz dv О В. д ot dx dx dv %3D | dv O C. t д дх ду дz дх ду дz ду %3D - O D. t đt dx t dy ot dz %3D + + dx dv ду ду dz dv
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Chain Rule
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
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,