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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3578f3e4-1bc3-4b4b-9f3b-a9b3ea5dbfae%2F50e801d7-dcb9-41ca-b0b6-ad1fb5aa2ac2%2Fslslfen_processed.jpeg&w=3840&q=75)
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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