Suppose w = In(8x² + 2y² + 3z²), ¤= 9 cos(t) , y = 9 sin(t) , and z = 8Vt. Compute dw/dt in two different ways: Find dw/dx, dw/dy, and dw/dz as functions of t. dw/dx = dw/dy= dw/dz= Now use your answers above to find dw/dt using the chain rule. dw/dt =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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|Suppose w = In(8x² + 2y² + 3z²) , x = 9 cos(t) , y = 9 sin(t) , and z = 8\t.
Compute dw/dt in two different ways:
Find dw/dx, dw/dy, and dw/az as functions of t.
dw/dx =
dw/dy =
dw/dz =
Now use your answers above to find dw/dt using the chain rule.
dw/dt =
Transcribed Image Text:|Suppose w = In(8x² + 2y² + 3z²) , x = 9 cos(t) , y = 9 sin(t) , and z = 8\t. Compute dw/dt in two different ways: Find dw/dx, dw/dy, and dw/az as functions of t. dw/dx = dw/dy = dw/dz = Now use your answers above to find dw/dt using the chain rule. dw/dt =
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