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Speed of moving particle The coordinates of a particle

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr. ISBN: 9780321717399 65

Solution for problem 147PE Chapter 3.PE

University Calculus: Early Transcendentals | 2nd Edition

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University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

University Calculus: Early Transcendentals | 2nd Edition

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Problem 147PE

Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3, -4)?

Step-by-Step Solution:

SOLUTION: Step 1 of 4: A particle moves in the plane. It is given that the coordinates and are differentiable functions of time. and . Find how fast is the particle moving away from the origin as it passes through the point . Step 2 of 4: Distance of the particle with coordinates from the origin is ...........................(1)

Step 3 of 4

Chapter 3.PE, Problem 147PE is Solved
Step 4 of 4

Textbook: University Calculus: Early Transcendentals
Edition: 2
Author: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.
ISBN: 9780321717399

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Speed of moving particle The coordinates of a particle

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