Let z= 28x + 32xy - 8y , where x(t,s) = cosh (4t) cos (5s) and y(t,s) = sinh (4t) sin (5s). ze at (t,s) = at In (2), (i)Use the chain rule to compute 1 In 8 (ii) Use the Chain rule to compute at (t,s) = as a z (i) at 器-口 %3D (ii) as R L5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let z= 28x2 + 32xy - 8y2 , where x(t,s) = cosh (4t) cos (5s) and
y(t,s) = sinh (4t) sin (5s).
at (t,s) =
at
In (2),
(i)Use the chain rule to compute
dz
In (2),
(ii) Use the Chain rule to compute asat (t,s) =
(i) at
(ii)
- 3D
as
|LO
II
Transcribed Image Text:Let z= 28x2 + 32xy - 8y2 , where x(t,s) = cosh (4t) cos (5s) and y(t,s) = sinh (4t) sin (5s). at (t,s) = at In (2), (i)Use the chain rule to compute dz In (2), (ii) Use the Chain rule to compute asat (t,s) = (i) at (ii) - 3D as |LO II
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