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A mouse named Minnie can run back and forth along a straight path in her cage for 24 hours. On one day, her position is modeled by S = 5 cos (t) + 2, where t is hours 12 since midnight, and S is her position in metres relative to the centre of the cage. a) Calculate Minnie's position at midnight. b) At what rate is her position changing at 2:00 p.m.? c) At what time, within 24 hours is her speed the fastest?

A mouse named Minnie can run back and forth along a straight path in her cage for 24 hours. On one day, her position is modeled by S = 5 cos (t) + 2, where t is hours 12 since midnight, and S is her position in metres relative to the centre of the cage. a) Calculate Minnie's position at midnight. b) At what rate is her position changing at 2:00 p.m.? c) At what time, within 24 hours is her speed the fastest?

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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A mouse named Minnie can run back and forth along a straight path in her cage for 24 hours. On one day, her position is modeled by S = 5 cos since midnight, and S is her position in metres relative to the centre of the cage. $(#t). + 2, where t is hours a) Calculate Minnie's position at midnight. b) At what rate is her position changing at 2:00 p.m.? c) At what time, within 24 hours is her speed the fastest? d) Determine this fastest speed.
Transcribed Image Text:A mouse named Minnie can run back and forth along a straight path in her cage for 24 hours. On one day, her position is modeled by S = 5 cos since midnight, and S is her position in metres relative to the centre of the cage. $(#t). + 2, where t is hours a) Calculate Minnie's position at midnight. b) At what rate is her position changing at 2:00 p.m.? c) At what time, within 24 hours is her speed the fastest? d) Determine this fastest speed.
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