Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. x2 + y2 = 25 (a) Find dy/dt, given x = 3, y = 4, and dx/dt = 9. dy/dt = (b) Find dx/dt, given x = 4, y = 3, and dy/dt = -3. dx/dt =

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
Section9.3: Maxima And Minima
Problem 20E
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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.
x² + y2
= 25
(a) Find dy/dt, given x = 3, y = 4, and dx/dt = 9.
dy/dt =
(b) Find dx/dt, given x = 4, y = 3, and dy/dt = -3.
%3D
dx/dt =
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. x² + y2 = 25 (a) Find dy/dt, given x = 3, y = 4, and dx/dt = 9. dy/dt = (b) Find dx/dt, given x = 4, y = 3, and dy/dt = -3. %3D dx/dt =
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