Let x and y be differentiable functions of t and let s = x 2 + y

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Let x and y be differentiable functions of t and let s = √x² + y² be the distance between the points (x, 0) and (0, y) in the xy-plane.

a. How is ds/dt related to dx/dt if y is constant?

b. How is ds/dt related to dx/dt and dy>dt if neither x nor y is constant?

c. How is dx/dt related to dy/dt if s is constant?

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 19, 2023 11:03 AM

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Let x and y be differentiable functions of t and let s = x 2 + y

Question:

Step by Step Answer:

a If y is constant it means that y does not change with respect to t Therefore dydt 0 In this case s ...View the full answer

Thomas Calculus Early Transcendentals

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