(c) For 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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(c) For 0 <t < 2.4 hours, Caren's velocity can be modeled by the function h given by
24t + 5 sin(6t)
h(t) =
According to the model, what was Caren's average velocity during the
t+0.9
time interval 0 <t< 2.4 ?
(d) According to the model given in part (c), is Caren's speed increasing or decreasing at time t =
1.4? Give a reason for your answer.
Transcribed Image Text:(c) For 0 <t < 2.4 hours, Caren's velocity can be modeled by the function h given by 24t + 5 sin(6t) h(t) = According to the model, what was Caren's average velocity during the t+0.9 time interval 0 <t< 2.4 ? (d) According to the model given in part (c), is Caren's speed increasing or decreasing at time t = 1.4? Give a reason for your answer.
t (hours)
.04
.08
1.2
1.6
2.0
2.4
v(t)
(miles per hour)
11.8
9.5
17.2
16.3
16.8
20.1
1.
Caren rode her bicycle on a straight road from home to school. She recorded her velocity v(t), in
miles per hour, for selected values of t over the interval [0, 2.4] hours, as showed in the table
above. For 0<t < 2.4 , v(t) > 0.
(a) Use the date in the table to approximate v'(1.5). Show computations that lead to your answer.
Indicate unit of measure.
(b) Using correct units, interpret the meaning of S* v(t)dt in the context of the problem.
Approximate S*v(t)dt using a trapezoid sum with three subintervals of equal length and
values from the table.
Transcribed Image Text:t (hours) .04 .08 1.2 1.6 2.0 2.4 v(t) (miles per hour) 11.8 9.5 17.2 16.3 16.8 20.1 1. Caren rode her bicycle on a straight road from home to school. She recorded her velocity v(t), in miles per hour, for selected values of t over the interval [0, 2.4] hours, as showed in the table above. For 0<t < 2.4 , v(t) > 0. (a) Use the date in the table to approximate v'(1.5). Show computations that lead to your answer. Indicate unit of measure. (b) Using correct units, interpret the meaning of S* v(t)dt in the context of the problem. Approximate S*v(t)dt using a trapezoid sum with three subintervals of equal length and values from the table.
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