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Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west at 15 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later? Step 1 Using the diagram of a right triangle given below, the relation between x, y, and z is 2-? +y² 7 + y² Step 2 We must find dz/dt. Differentiating both sides and simplifying gives us the following. dz dx + 2y = 2x dt dy dt dt dt 1 v (x

Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west at 15 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later? Step 1 Using the diagram of a right triangle given below, the relation between x, y, and z is 2-? +y² 7 + y² Step 2 We must find dz/dt. Differentiating both sides and simplifying gives us the following. dz dx + 2y = 2x dt dy dt dt dt 1 v (x

Calculus: Early Transcendentals
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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Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west at 15 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later? Step 1 Using the diagram of a right triangle given below, the relation between x, y, and z is z? = 2 1² + y² Step 2 We must find dz/dt. Differentiating both sides and simplifying gives us the following. dz dz dx dy + 2y dt = 2x dt dt dt dz dx +y dt dy dt dt II
Transcribed Image Text:Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west at 15 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later? Step 1 Using the diagram of a right triangle given below, the relation between x, y, and z is z? = 2 1² + y² Step 2 We must find dz/dt. Differentiating both sides and simplifying gives us the following. dz dz dx dy + 2y dt = 2x dt dt dt dz dx +y dt dy dt dt II
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