Distance Let x and y be differentiable functions of t and

Chapter 3, Problem 17E

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QUESTION:

Problem 17E

Distance Let x and y be differentiable functions of t and let 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?

Questions & Answers

QUESTION:

Problem 17E

Distance Let x and y be differentiable functions of t and let 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?

ANSWER:

Solution:-

Step 1 of 4

Given that

a. We have to find how is ds/dt related to dx/dt if y is constant?

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