y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis. Region B is bounded by the line y=2x and the parabola y=x². Region C is bounded by the parabola y=x² , the line x = 2 and the x-axis. 3. Which definite integral represents the area of region A? A. f (4 – 2x)dx B. (4 – 2x)dx c. S žay D. S dy 4. What is the area of region A? A. s. u. D. s. u B. - s. u. C. - s. u. 5. What is the area integral for region B? A (5-)dy B. S (x²-2«)dx D. (2x – x²)dx
y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis. Region B is bounded by the line y=2x and the parabola y=x². Region C is bounded by the parabola y=x² , the line x = 2 and the x-axis. 3. Which definite integral represents the area of region A? A. f (4 – 2x)dx B. (4 – 2x)dx c. S žay D. S dy 4. What is the area of region A? A. s. u. D. s. u B. - s. u. C. - s. u. 5. What is the area integral for region B? A (5-)dy B. S (x²-2«)dx D. (2x – x²)dx
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
Related questions
Question
![y = 4
(2,4)
A
y = 2x
x = 2
B
y =x
(0,0)
Region A is bounded by the lines y= 2x, y= 4 and the y-axis.
Region B is bounded by the line y = 2x and the parabola y = x?.
Region C is bounded by the parabola y = x?, the line x = 2 and the x-axis.
13. Which definite integral represents the area of region A?
A. f (4 – 2x)dx
B. f(4 – 2x)dx
D. dy
-
dy
14. What is the area of region A?
A. s. u.
B. s.
D. s.u
3
S. u.
C. - s. u.
15. What is the area integral for region B?
A S(/y-?)dy
B. S (x-2«)dx
D. f (2.x – x² )dx
16. What is the area of region B?
A. s.u.
B. 4 s.u.
C. s.u.
D. 2 s.u.
17. What is the area of region C?
A. s.u.
B. s.u.
C. s.u.
D. s.u.
18. Which definite integral represents the combined areas of regions A and B?
² – 4 )dx
B. [ 5dy
С.
2-
dy
(4-x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fb14e5f-2bec-43b4-946c-853e9bd5e47d%2F77089041-2d4d-47ac-9651-ad793449f477%2Frcnky8_processed.png&w=3840&q=75)
Transcribed Image Text:y = 4
(2,4)
A
y = 2x
x = 2
B
y =x
(0,0)
Region A is bounded by the lines y= 2x, y= 4 and the y-axis.
Region B is bounded by the line y = 2x and the parabola y = x?.
Region C is bounded by the parabola y = x?, the line x = 2 and the x-axis.
13. Which definite integral represents the area of region A?
A. f (4 – 2x)dx
B. f(4 – 2x)dx
D. dy
-
dy
14. What is the area of region A?
A. s. u.
B. s.
D. s.u
3
S. u.
C. - s. u.
15. What is the area integral for region B?
A S(/y-?)dy
B. S (x-2«)dx
D. f (2.x – x² )dx
16. What is the area of region B?
A. s.u.
B. 4 s.u.
C. s.u.
D. 2 s.u.
17. What is the area of region C?
A. s.u.
B. s.u.
C. s.u.
D. s.u.
18. Which definite integral represents the combined areas of regions A and B?
² – 4 )dx
B. [ 5dy
С.
2-
dy
(4-x2
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