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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Question
Could I get assistance with 17 and 18, please?
![4
|T| 18. f(t) = 1 · - (cos II) on [0,4]
πt
–
4
1
0
y
1
y = 1 - (cos
COS
12
2
πt
4
3 4
4
t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c6f948-1c65-4bd5-95c6-c2d0d40a998f%2F1822b643-769c-449a-ad44-6ea8e4c6de0b%2F4no5kns_processed.png&w=3840&q=75)
Transcribed Image Text:4
|T| 18. f(t) = 1 · - (cos II) on [0,4]
πt
–
4
1
0
y
1
y = 1 - (cos
COS
12
2
πt
4
3 4
4
t
![Average Value of a Function
In Exercises 15-18, use a finite sum to estimate the average value of f
on the given interval by partitioning the interval into four subintervals
of equal length and evaluating f at the subinterval midpoints.
15. f(x) = x³ on [0, 2]
16. f(x) = 1/x on [1,9]
17. f(t) = (1/2) + sin² πt on [0,2]
y
1.5
1
0.5
0
y = 2/1/12
+sinat
1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c6f948-1c65-4bd5-95c6-c2d0d40a998f%2F1822b643-769c-449a-ad44-6ea8e4c6de0b%2F69vkmvh_processed.png&w=3840&q=75)
Transcribed Image Text:Average Value of a Function
In Exercises 15-18, use a finite sum to estimate the average value of f
on the given interval by partitioning the interval into four subintervals
of equal length and evaluating f at the subinterval midpoints.
15. f(x) = x³ on [0, 2]
16. f(x) = 1/x on [1,9]
17. f(t) = (1/2) + sin² πt on [0,2]
y
1.5
1
0.5
0
y = 2/1/12
+sinat
1
2
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