FIGURE 171283 /3bortio 9rgola aed OFor another method see Exercise 64.6.2 EXERCISES15. y x1-18 Find the volume of the solid obtained by rotating the regionbounded by the given curves about the specified line. Sketch theregion, the solid, and a typical disk or washer.16. xy = 1,17. x = y'1. yx+ 1, y = 0, x = 0, x = 2; about the x-axis18. y x,2. y 1/x, y = 0, x = 1, x = 4; about the x-axis3. y x1, y = 0, x= 5; about the x-axis19-30 Refee, y= 0, x = -1, x = 1; about the x-axis4. yrotating the5. x 2y, x = 0, y 9; about the y-axis0:6. 2x y, x = 0, y 4; about the y-axis7. y x, y= x, x > 0; about the x-axis6 x, y = 2; about the x-axis8. yx, x = 2y; about the y-axis9. y10. x 2 y, x= y; about the y-axis11. y x, x= y; about y = 11, x = 2; about y -312. y x, y19. R1 ab13. y 1sec x, y 3; about y 121. Ri ab14. y sin x, y = cos x, 0 < xTT/4; about y = -1

Question
Asked Sep 9, 2019
40 views

#14

FIGURE 17
128
3 /3
bortio 9
r
gola aed O
For another method see Exercise 64.
6.2 EXERCISES
15. y x
1-18 Find the volume of the solid obtained by rotating the region
bounded by the given curves about the specified line. Sketch the
region, the solid, and a typical disk or washer.
16. xy = 1,
17. x = y'
1. y
x+ 1, y = 0, x = 0, x = 2; about the x-axis
18. y x,
2. y 1/x, y = 0, x = 1, x = 4; about the x-axis
3. y x1, y = 0, x= 5; about the x-axis
19-30 Refe
e, y= 0, x = -1, x = 1; about the x-axis
4. y
rotating the
5. x 2y, x = 0, y 9; about the y-axis
0:
6. 2x y, x = 0, y 4; about the y-axis
7. y x, y= x, x > 0; about the x-axis
6 x, y = 2; about the x-axis
8. y
x, x = 2y; about the y-axis
9. y
10. x 2 y, x= y; about the y-axis
11. y x, x= y; about y = 1
1, x = 2; about y -3
12. y x, y
19. R1 ab
13. y 1sec x, y 3; about y 1
21. Ri ab
14. y sin x, y = cos x, 0 < xTT/4; about y = -1
help_outline

Image Transcriptionclose

FIGURE 17 128 3 /3 bortio 9 r gola aed O For another method see Exercise 64. 6.2 EXERCISES 15. y x 1-18 Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 16. xy = 1, 17. x = y' 1. y x+ 1, y = 0, x = 0, x = 2; about the x-axis 18. y x, 2. y 1/x, y = 0, x = 1, x = 4; about the x-axis 3. y x1, y = 0, x= 5; about the x-axis 19-30 Refe e, y= 0, x = -1, x = 1; about the x-axis 4. y rotating the 5. x 2y, x = 0, y 9; about the y-axis 0: 6. 2x y, x = 0, y 4; about the y-axis 7. y x, y= x, x > 0; about the x-axis 6 x, y = 2; about the x-axis 8. y x, x = 2y; about the y-axis 9. y 10. x 2 y, x= y; about the y-axis 11. y x, x= y; about y = 1 1, x = 2; about y -3 12. y x, y 19. R1 ab 13. y 1sec x, y 3; about y 1 21. Ri ab 14. y sin x, y = cos x, 0 < xTT/4; about y = -1

fullscreen
check_circle

Expert Answer

Step 1

Given:

The solid bounded by the region y =sin x and y= cos x about the line y-1
The region is about the x-axis.
The region lies between a=0 and b=
4
help_outline

Image Transcriptionclose

The solid bounded by the region y =sin x and y= cos x about the line y-1 The region is about the x-axis. The region lies between a=0 and b= 4

fullscreen
Step 2

Sketch the Equation of the solid region.

 

1)
y=sinx
..2)
y cosx
Substitute 0 for x in Equation (1)
y sin(0)
0
for x in Equation (1)
Substitute
ysin
0.707
Substitute 0 for x in Equation (2)
(0)
ycos
- 1
for x in Equation (1)
Substitute
y cos
4
0.707
help_outline

Image Transcriptionclose

1) y=sinx ..2) y cosx Substitute 0 for x in Equation (1) y sin(0) 0 for x in Equation (1) Substitute ysin 0.707 Substitute 0 for x in Equation (2) (0) ycos - 1 for x in Equation (1) Substitute y cos 4 0.707

fullscreen
Step 3

Sketch the region y = sin x,  y = cos x and  y = –1 usin...

УА
y =cos x
У
y=sin x
0
х
4
Figure
help_outline

Image Transcriptionclose

УА y =cos x У y=sin x 0 х 4 Figure

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Integration

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: In your chemistry class, 13 beakers were counted in a student's drawer. If 20% of all the items in t...

A: According to Question:13 beakers were counted in a student’s drawer which is 20% of total item.let t...

question_answer

Q: Please answer all of the questions. Elaborate and make clear the last graph because that is the one ...

A: a.  Since the equation of the curve is y=cosπx, the slope of the secant line PQ  between the points,...

question_answer

Q: After driving for 2.2 hours (2 hours and 12 mintues), Marcos' total distance traveled was 153 miles....

A: The time is 5 minutes, that is 5/60 = 1/12 hr and the remaining distance is 2 miles.

question_answer

Q: 1.3 Inverse, Exponential, and Logarithmic Functions 37 Splitting up curves The equation y with four ...

A: (a) The given equation can be written as

question_answer

Q: write square root of -1 over 21 in terms of i

A: It is given that square root of -1 over 21

question_answer

Q: Please answer the examples and show your work. Thank you!

A: 1). Given, 

question_answer

Q: Need help

A: The red line is twice the blue line. So rate of change of y is twice the rate of change of x.Answer(...

question_answer

Q: (b) Is this relation a function? Explain if x0 4 x (c) Is this relation a one-to-one function? Expla...

A: Given,

question_answer

Q: Second National Bank offers an account that earns 3.58% per year, compounded continuously. If a pers...

A: Amount for continuous compounding: If P amount of money is invested for t years at r% rate of intere...