Find dw/dt using the appropriate Chain Rule. Function Value w = x sin y x = e', y = n - t t = 0 e'sin (y) – x cos (y) dw dt Evaluate dw/dt at the given value of t. 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find \( \frac{dw}{dt} \) using the appropriate Chain Rule.

| Function       | Value      |
|----------------|------------|
| \( w = x \sin y \) | \( t = 0 \)    |
| \( x = e^t \), \( y = \pi - t \) |            |

\[
\frac{dw}{dt} = e^t \sin(y) - x \cos(y)
\]

This step contains a mistake (indicated by a red cross).

Evaluate \( \frac{dw}{dt} \) at the given value of \( t \).

1 (indicated by a green checkmark)
Transcribed Image Text:Find \( \frac{dw}{dt} \) using the appropriate Chain Rule. | Function | Value | |----------------|------------| | \( w = x \sin y \) | \( t = 0 \) | | \( x = e^t \), \( y = \pi - t \) | | \[ \frac{dw}{dt} = e^t \sin(y) - x \cos(y) \] This step contains a mistake (indicated by a red cross). Evaluate \( \frac{dw}{dt} \) at the given value of \( t \). 1 (indicated by a green checkmark)
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