Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt x² + y2 = 100 (a) Find dy/dt, given x = 6, y = 8, and dx/dt = 5. dy/dt = (b) Find dx/dt, given x = 8, y = 6, and dy/dt = -5. dx/dt =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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 = 100
(a) Find dy/dt, given x = 6, y = 8, and dx/dt = 5.
dy/dt =
(b) Find dx/dt, given x = 8, y = 6, and dy/dt = -5.
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 = 100 (a) Find dy/dt, given x = 6, y = 8, and dx/dt = 5. dy/dt = (b) Find dx/dt, given x = 8, y = 6, and dy/dt = -5. dx/dt =
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