Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(5) = 8, g'(5) = 9, h(5) find dz / dt when t = – 7, h' (5) – 1, fa(8, – 7) = - 5, and f,(8, – 7) = – 3, %3D - 5.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose z =
f(x, y), where f is differentiable, x = g(t), and y = h(t).
If g(5)
find dz / dt when t = 5.
- 7, h' (5)
1, fa(8,
- 5, and fy(8, – 7) = – 3,
8, g'(5) = 9, h(5)
7)
-
Transcribed Image Text:Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(5) find dz / dt when t = 5. - 7, h' (5) 1, fa(8, - 5, and fy(8, – 7) = – 3, 8, g'(5) = 9, h(5) 7) -
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