dz Use the chain rule to find Ət z = tan (x – 8y), x = s cost, y = e² •Int Se dz 1+(x²– $y}² dt dz - 2x s sint dt 1+(x?-8yF dz 2x s cost 1+(x²– 8y}² dt 25²-cos²t – dz 1+(s²-cos²t- 8e“ ·Int} dt Se -2s2 cost sint dz dt 1+(s²-cos?t-8e" Int)
dz Use the chain rule to find Ət z = tan (x – 8y), x = s cost, y = e² •Int Se dz 1+(x²– $y}² dt dz - 2x s sint dt 1+(x?-8yF dz 2x s cost 1+(x²– 8y}² dt 25²-cos²t – dz 1+(s²-cos²t- 8e“ ·Int} dt Se -2s2 cost sint dz dt 1+(s²-cos?t-8e" Int)
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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Question
Please do question 3 and show work
Transcribed Image Text:dz
Use the chain rule to find
Ət
z = tan(x² - 8y), x = s•cost, y = e ·Int
8e
dz
1+ (x²– $y}°
dt
dz
- 2x s sint
=
dt
1+(x?-8yF
dz
2x s cost
1+(x²– 8y}²
dt
252.cos't - Se
dz
1+(s²-cos²t– 8e* ·Int}
dt
Se
-2s2 cost sint
dz
dt
1+(s²-cos?t-8e" Int)
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