Three runners start at the same location and, at the same time, start running in different directions. Runner A runs west at 10 mi/hr, Runner B runs north at 12 mi/hr, and Runner C runs east at a non-constant speed. If, after 15 minutes, Runner C has traveled 2.25 mi and the area of the triangle formed by the three runners is changing at a rate of 60 mi2 /hr, find the speed of Runner C at this time. must show all steps

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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Three runners start at the same location and, at the same time, start running in different directions. Runner A runs west at 10 mi/hr, Runner B runs north at 12 mi/hr, and Runner C runs east at a non-constant speed. If, after 15 minutes, Runner C has traveled 2.25 mi and the area of the triangle formed by the three runners is changing at a rate of 60 mi2 /hr, find the speed of Runner C at this time. must show all steps

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