A hamster wheel has a point on the wheel with height modeled by the equation, wher h is in cm and t is in seconds. h (t) = 7 sin( 2at + + 10 %3D a) What is the average rate of change for the interval 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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7. A hamster wheel has a point on the wheel with height modeled by the equation, where
h is in cm and t is in seconds.
h(t) = 7 sin( 2at +
+ 10
2
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:7. A hamster wheel has a point on the wheel with height modeled by the equation, where h is in cm and t is in seconds. h(t) = 7 sin( 2at + + 10 2 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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