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Name: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a po
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Description: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a misguided gazelle is running due east toward the same spot at a rate of 20 m/s. The cheetah begins from a distance of 120 m, while the gazelle begins fro

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a misguided gazelle is running due east toward the same spot at a rate of 20 m/s. The cheetah begins from a distance of 120 m, while the gazelle begins from a distance of 80 m. Find equations for the position y(t) of the cheetah, x(t) for the position of gazelle, and the distance r(t) between them, and use it to find the rate of change of the distance between them at t = 0, t = 2, and t = 4.

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