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
I need help with number 9.
![n
Σ
aj =
aj -
Problems
i=k+1
i=1
i=1
Use this fact, along with other parts of Theorem 35, to evaluate
the summations given in Exercises 23–26.
In Exercises 5-11, write out each term of the summation and
compute the sum.
20
23.
4
5. F7
i=11
25
i=2
24.
3
i=16
6. (4i – 2)
12
i=-1
25. У
4.
2
i=7
7. sin(ti/2)
10
26. 4
i=-2
5
1
i=5
8.
In Exercises 27-30, express the limit as a definite integral.
i
i=1
sin
27. lim "
n 0o n
6
9. Σ-1)
1+
i=1
1=1
n
3i
2 +
1+
28. lim
2+
n00
10.
i+
I=1
n
3
29.
lim
5( 2+
- 4
5
n0o n
i=1
11. E(-1)' cos(ri)
i=0
1+ 2/
30. lim
n 0o n
In Exercises 12–15, write each sum in summation notation.
1+ 21
i=1
+ 4
12. 3+6+9+ 12 + 15
In Exercises 31-33, express the definite integral as a limit of a
13. -1+0+ 3+8+ 15 + 24 + 35 + 48 + 63
sum.
2
3
4
31.
4 – 2x dx
14.
2
3
4
5
15. 1 — е + e — е +e
x + 3x dx
32.
- 2
•#/2
In Exercises 16–22, evaluate the summation using Theorem 35.
sin³ x
dx
33.
-/2 2+ coS X
25
16.
i
In Exercises 34–39, a definite integral
f(x) dx is given.
l=1
(a) Graph f(x) on [a, b].
10
17. У (з - 2)
(b) Add to the sketch rectangles using the provided rule.
i=1
(c) Approximate
15
f(x) dx by summing the areas of the
18. Σ(2/- 10)
rectangles](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf266520-407e-4b51-839c-e1d92d759be6%2F7755e0e1-6540-4a41-ae97-cd1214156369%2Fynckt3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:n
Σ
aj =
aj -
Problems
i=k+1
i=1
i=1
Use this fact, along with other parts of Theorem 35, to evaluate
the summations given in Exercises 23–26.
In Exercises 5-11, write out each term of the summation and
compute the sum.
20
23.
4
5. F7
i=11
25
i=2
24.
3
i=16
6. (4i – 2)
12
i=-1
25. У
4.
2
i=7
7. sin(ti/2)
10
26. 4
i=-2
5
1
i=5
8.
In Exercises 27-30, express the limit as a definite integral.
i
i=1
sin
27. lim "
n 0o n
6
9. Σ-1)
1+
i=1
1=1
n
3i
2 +
1+
28. lim
2+
n00
10.
i+
I=1
n
3
29.
lim
5( 2+
- 4
5
n0o n
i=1
11. E(-1)' cos(ri)
i=0
1+ 2/
30. lim
n 0o n
In Exercises 12–15, write each sum in summation notation.
1+ 21
i=1
+ 4
12. 3+6+9+ 12 + 15
In Exercises 31-33, express the definite integral as a limit of a
13. -1+0+ 3+8+ 15 + 24 + 35 + 48 + 63
sum.
2
3
4
31.
4 – 2x dx
14.
2
3
4
5
15. 1 — е + e — е +e
x + 3x dx
32.
- 2
•#/2
In Exercises 16–22, evaluate the summation using Theorem 35.
sin³ x
dx
33.
-/2 2+ coS X
25
16.
i
In Exercises 34–39, a definite integral
f(x) dx is given.
l=1
(a) Graph f(x) on [a, b].
10
17. У (з - 2)
(b) Add to the sketch rectangles using the provided rule.
i=1
(c) Approximate
15
f(x) dx by summing the areas of the
18. Σ(2/- 10)
rectangles
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