Let f(t) = 4 sin(at) measure the height of waves in Horsetooth Reservoir with respect to time in seconds. (a) Compute the average rate of change of f(t) between t =1 and t = 2. %3D

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
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3. L8 I can compute average rates of change and find slopes of secant lines.
Let f(t) = 4 sin(at) measure the height of waves in Horsetooth Reservoir with respect to time in
seconds.
(a) Compute the average rate of change of f(t) between t =1 and t = 2.
(b) Compute the average rate of change of f(t) over a time interval starting at t 1 lasting 0.5
seconds.
(c) Write an expression for the average rate of change of f(t) over a time interval starting at
t = 1 lastingh seconds. Your answer should not have the letter "f" in it.
Transcribed Image Text:cuments/Homework%203.pdf FHigh CD Page view A Read aloud V Draw 3. L8 I can compute average rates of change and find slopes of secant lines. Let f(t) = 4 sin(at) measure the height of waves in Horsetooth Reservoir with respect to time in seconds. (a) Compute the average rate of change of f(t) between t =1 and t = 2. (b) Compute the average rate of change of f(t) over a time interval starting at t 1 lasting 0.5 seconds. (c) Write an expression for the average rate of change of f(t) over a time interval starting at t = 1 lastingh seconds. Your answer should not have the letter "f" in it.
Expert Solution
Given data,
  • The height function of the waves with time is ft=4sinπt
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