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hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds.    a) What is the average rate of change for the interval

hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds.    a) What is the average rate of change for the interval

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. A hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds. 

 

  1. a) What is the average rate of change for the interval ?  
A hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds. h (t) = 7 sin( 2nt + 2 5) + 10 a) What is the average rate of change for the interval 0 <t< 4? b) State the first two times the hamster is at the maximum and minimum height. c) State a point where the instantaneous rate of change is positive, negative and zero. (Make a sketch of the curve)
Transcribed Image Text:A hamster wheel has a point on the wheel with height modelled by the equation, where h is in cm and t is in seconds. h (t) = 7 sin( 2nt + 2 5) + 10 a) What is the average rate of change for the interval 0 <t< 4? b) State the first two times the hamster is at the maximum and minimum height. c) State a point where the instantaneous rate of change is positive, negative and zero. (Make a sketch of the curve)
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