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
Sketch the region enclosed by the curves and find its area for question 15
![5.
(2, 4)
(4, 4)
y 2r
y2 = 4x
y 2x-4
2.
(1,-2)
7-18 Sketch the region enclosed by the curves and find its area.
7. y = x2, y = vã, x = , x= 1
8. y = x' - 4x, y = 0, x = 0, x = 2
9. y = cos 2x, y = 0, x = 7/4, x = 1/2
10. y = sec? x, y = 2, x = -T/4, x = T/4
11. x = sin y, x = 0, y = 7/4, y = 3T/4
12. x= y, x= y - 2
%3D
%3D
%3D%D
%3D
%3D
%3D
.2
%3D
13. y = e*, y = e2x, x = 0, x = In 2
14. x = 1/y, x = 0, y = 1, y = e
15. y =
1+x²' y = |x| 16. y
17. y = 2+ |x – 1), y = -x+7
%3D
|
18. y = x, y = 4x, y = -x+ 2
%3D
%3D
%3D
19-26 Use a graphing utility, where helpful, to find the area of
the region enclosed by the curves.
19. y = x' - 4x² + 3x, y = 0
20. y = x - 2x², y = 2x? – 3x
|
%3D
21. y = sin x, y = cos x, x = 0, x = 27
22. y = x³ - 4x, y = 0
23. x = y' – y, x= 0
|
|
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9372b6fe-9d83-4cc3-b9b6-3000d02c5781%2F85d81835-726d-4087-8565-713ec29108fa%2Fn0x5n5s.jpeg&w=3840&q=75)
Transcribed Image Text:5.
(2, 4)
(4, 4)
y 2r
y2 = 4x
y 2x-4
2.
(1,-2)
7-18 Sketch the region enclosed by the curves and find its area.
7. y = x2, y = vã, x = , x= 1
8. y = x' - 4x, y = 0, x = 0, x = 2
9. y = cos 2x, y = 0, x = 7/4, x = 1/2
10. y = sec? x, y = 2, x = -T/4, x = T/4
11. x = sin y, x = 0, y = 7/4, y = 3T/4
12. x= y, x= y - 2
%3D
%3D
%3D%D
%3D
%3D
%3D
.2
%3D
13. y = e*, y = e2x, x = 0, x = In 2
14. x = 1/y, x = 0, y = 1, y = e
15. y =
1+x²' y = |x| 16. y
17. y = 2+ |x – 1), y = -x+7
%3D
|
18. y = x, y = 4x, y = -x+ 2
%3D
%3D
%3D
19-26 Use a graphing utility, where helpful, to find the area of
the region enclosed by the curves.
19. y = x' - 4x² + 3x, y = 0
20. y = x - 2x², y = 2x? – 3x
|
%3D
21. y = sin x, y = cos x, x = 0, x = 27
22. y = x³ - 4x, y = 0
23. x = y' – y, x= 0
|
|
%3D
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