Use the Chain Rule to find dz/dt. z = cos(x + 7y), x = 5t5, y = 3/t dz dt II

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
Question
7
DETAILS
PREVIOUS ANSWERS
SC
Use the Chain Rule to find the indicated partial derivatives.
V2 + s?, r= y + x cos(t), s = x + y sin(t)
U =
du
du
du
when x = 5, y = 4, t = 0
ax
ду
at
du
13
V97
9.
du
V97
20
at
V97
8.
DETAILS
SCALCET8 14.5.514.XP.MI.
Use the Chain Rule to find the indicated partial derivatives.
R = In(u? + v2 + w?),
v = 7x – y,
u = x + 2y,
aR ƏR
əx' ay
w = 5xy;
when x = y = 4
ƏR
əx
ƏR
ây
Transcribed Image Text:7 DETAILS PREVIOUS ANSWERS SC Use the Chain Rule to find the indicated partial derivatives. V2 + s?, r= y + x cos(t), s = x + y sin(t) U = du du du when x = 5, y = 4, t = 0 ax ду at du 13 V97 9. du V97 20 at V97 8. DETAILS SCALCET8 14.5.514.XP.MI. Use the Chain Rule to find the indicated partial derivatives. R = In(u? + v2 + w?), v = 7x – y, u = x + 2y, aR ƏR əx' ay w = 5xy; when x = y = 4 ƏR əx ƏR ây
Use the Chain Rule to find dz/dt.
z = cos(x + 7y),
= 5t5, y = 3/t
dz
%3D
dt
3.
DETAILS
SCALCET8 14.5.005.
Use the Chain Rule to find dw/dt.
w = xey/z, x = t5, y = 5 – t, z = 1 + 6t
dw
dt
4.
DETAILS
SCALCET8 14.5.505.XP.
Use the Chain Rule to find Əz/əs and əz/ət.
z = x°y?, x = s cos(t), y = s sin(t)
az
as
əz
at
Transcribed Image Text:Use the Chain Rule to find dz/dt. z = cos(x + 7y), = 5t5, y = 3/t dz %3D dt 3. DETAILS SCALCET8 14.5.005. Use the Chain Rule to find dw/dt. w = xey/z, x = t5, y = 5 – t, z = 1 + 6t dw dt 4. DETAILS SCALCET8 14.5.505.XP. Use the Chain Rule to find Əz/əs and əz/ət. z = x°y?, x = s cos(t), y = s sin(t) az as əz at
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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,