Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 8 (a) Find dy/dt, given x = 4 and dx/dt = 15. dy/dt = X (b) Find dx/dt, given x = 1 and dy/dt = -7. dx/dt = x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 8
(a) Find dy/dt, given x = 4 and dx/dt = 15.
dy/dt =
X
(b) Find dx/dt, given x = 1 and dy/dt = -7.
dx/dt =
X
Transcribed Image Text:Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy = 8 (a) Find dy/dt, given x = 4 and dx/dt = 15. dy/dt = X (b) Find dx/dt, given x = 1 and dy/dt = -7. dx/dt = X
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