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, when x = 4, given that dx/dt = 14. (b) Find dx/dt, when x = 1, given that dy/dt = -7.

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.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 1E: Assume x and y are functions of t. Evaluate dydtfor each of the following. y28x3=55; dxdt=4,x=2,y=3
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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, when x = 4, given that dx/dt = 14.
(b) Find dx/dt, when x = 1, given that dy/dt = -7.
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, when x = 4, given that dx/dt = 14. (b) Find dx/dt, when x = 1, given that dy/dt = -7.
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