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, when x = 3, y = 4 given that dx/dt = 8. (b) Find dx/dt, when x = 4, y = 3, given that dy/dt = -3.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.

x+ y2 = 25
 
(b) Find dx/dt, when x = 4, y = 3, given that dy/dt = −3
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, when x = 3, y = 4 given that dx/dt = 8.
(b) Find dx/dt, when x = 4, y = 3, given that dy/dt = -3.
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, when x = 3, y = 4 given that dx/dt = 8. (b) Find dx/dt, when x = 4, y = 3, given that dy/dt = -3.
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