Q7: The area of the region inside the circle x² + y² = 4 and above the line y = x + 2 is expressed as a definite integral: A) (-2)-√4-y²) dy B) ((y-2) +√4-yi) dy C)(√4-y²-y-2)) dy D) f(-x-2)-√4-yl)dy
Q7: The area of the region inside the circle x² + y² = 4 and above the line y = x + 2 is expressed as a definite integral: A) (-2)-√4-y²) dy B) ((y-2) +√4-yi) dy C)(√4-y²-y-2)) dy D) f(-x-2)-√4-yl)dy
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...
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Q 7 please
![Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3) about the x-axis is:
√10 m
A)
C) 3√10 n
D) 9√10 n
B) 10
3
Q2: The length of the curve y = x² from the point (0,0) to the point (2,4) is:
A) √1+ 4y dy A
B) √ √1+ 4x² dx
c) √1 + x² dx
D) √ √1 + dy
Q3: Th volume whose generated by revolving the region enclosed by the curve x = (y-2)²2 and the line x = 4
About the x-axis is:
A) 2my[4-(y-2)2]dy B) f2my[4-(y-2)²]dy C) f2my[4+ (y-2)²]dy D) 2ny(4+ (y-2)²]dy
Q4: Th volume whose generated by revolving the region enclosed by the curve y = x² + 1 and the line
y = 2x + 1 About the x-axis is:
A) π f(x-2x² - 4x)dx B) x
(x + 2x² + 4x)dx C) f(x¹ + 2x² - 4x) dx D) n f (4x + 2x²-x*)dx
Q5: Th volume whose generated by revolving the region enclosed by the line y = √3x and the x-axis from
x = 1 to x = 3 is = A) 9π
D) 26
26
B)
C) 27 T
1.
Q6: The area enclosed by the curves y = x² and y = √x is =
A) 3 B) C) D)
Q7: The area of the region inside the circle x² + y² = 4 and above the line y = x + 2 is expressed as a definite integral:
A) (-2)-√4-y²) dy B) f(y-2) +√4-y²) dy C)(√4-y²-(y-2)) dy D) (-(y-2)-√4-y²) dy
Q8: cosx√sinx dx =
A)0
B) C)
D) ²
29: The average value of f(x) = 4x3 on the interval [1,3] is -
Q10: √1-x² dx = A)
B)
C) T
D) 2π
211: The value of c that satisfy the conclusion of the Mean-value theorem for f(x)=x²-x on the interval
[0,2] is =
A) -
B) /
C) 1
D) ²
A) 40
B) 160
C) 80 D) 20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F069b17f9-7023-4c9e-9a25-bb946fc9767b%2F737e32c7-ed48-441f-81e3-000b725812d9%2F6g492hx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3) about the x-axis is:
√10 m
A)
C) 3√10 n
D) 9√10 n
B) 10
3
Q2: The length of the curve y = x² from the point (0,0) to the point (2,4) is:
A) √1+ 4y dy A
B) √ √1+ 4x² dx
c) √1 + x² dx
D) √ √1 + dy
Q3: Th volume whose generated by revolving the region enclosed by the curve x = (y-2)²2 and the line x = 4
About the x-axis is:
A) 2my[4-(y-2)2]dy B) f2my[4-(y-2)²]dy C) f2my[4+ (y-2)²]dy D) 2ny(4+ (y-2)²]dy
Q4: Th volume whose generated by revolving the region enclosed by the curve y = x² + 1 and the line
y = 2x + 1 About the x-axis is:
A) π f(x-2x² - 4x)dx B) x
(x + 2x² + 4x)dx C) f(x¹ + 2x² - 4x) dx D) n f (4x + 2x²-x*)dx
Q5: Th volume whose generated by revolving the region enclosed by the line y = √3x and the x-axis from
x = 1 to x = 3 is = A) 9π
D) 26
26
B)
C) 27 T
1.
Q6: The area enclosed by the curves y = x² and y = √x is =
A) 3 B) C) D)
Q7: The area of the region inside the circle x² + y² = 4 and above the line y = x + 2 is expressed as a definite integral:
A) (-2)-√4-y²) dy B) f(y-2) +√4-y²) dy C)(√4-y²-(y-2)) dy D) (-(y-2)-√4-y²) dy
Q8: cosx√sinx dx =
A)0
B) C)
D) ²
29: The average value of f(x) = 4x3 on the interval [1,3] is -
Q10: √1-x² dx = A)
B)
C) T
D) 2π
211: The value of c that satisfy the conclusion of the Mean-value theorem for f(x)=x²-x on the interval
[0,2] is =
A) -
B) /
C) 1
D) ²
A) 40
B) 160
C) 80 D) 20
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