DIRECTIONS: Solve all problems completely. Show your solution and avoid unnecessary erasures. The use of mobile phones is not allowed. I. Choose the best answer and write the letter of the correct answer. If none of the choices is correct, write Q. 1. Find the area of the region bounded by the parabola x + y + 4 = 0 and the line y = -8 by taking the elements of area perpendicular to the y-axis. A. 2 -y - 4 dy B. -y-4 dy 2. The area of the dosed region in number (1), by the taking the elements of area perpendicular to the x-axis is C. 2-y-4 dy D. 2 , y+4 dy C. L(x - 4)dx D. (12 -x)dx A. (x + 12)dx B. 2 (-x + 4)dx 3. A solid is generated when the region in the first quadrant bounded by the curve y = x', the line y = 1, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which of the following integrals? A. n,(1- x*)dx B. 2n f ydy 4. A region in the first quadrant is enclosed by the graphs of the line y = 2, the y-axis, and the parabola y = 6-x². Find the volume of the solid generated when this region is revolved about the line x = 3. C. 2n f, xy/3dy D. n S,(1- x*)dx A. 2m f(12 +4x - 3x? - x')dx C. 2n (**- 3x2 - 4x + 12)dx B. f(3 + y)dy 5. Find the radius of the outer disk when the region bounded by y = x and y =1+x-x is revolved about the line y = -3. A. x +3 В. х?-х - 4 D. n - 3)dy C. -x? + x - 2 D. 4+x - x?
DIRECTIONS: Solve all problems completely. Show your solution and avoid unnecessary erasures. The use of mobile phones is not allowed. I. Choose the best answer and write the letter of the correct answer. If none of the choices is correct, write Q. 1. Find the area of the region bounded by the parabola x + y + 4 = 0 and the line y = -8 by taking the elements of area perpendicular to the y-axis. A. 2 -y - 4 dy B. -y-4 dy 2. The area of the dosed region in number (1), by the taking the elements of area perpendicular to the x-axis is C. 2-y-4 dy D. 2 , y+4 dy C. L(x - 4)dx D. (12 -x)dx A. (x + 12)dx B. 2 (-x + 4)dx 3. A solid is generated when the region in the first quadrant bounded by the curve y = x', the line y = 1, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which of the following integrals? A. n,(1- x*)dx B. 2n f ydy 4. A region in the first quadrant is enclosed by the graphs of the line y = 2, the y-axis, and the parabola y = 6-x². Find the volume of the solid generated when this region is revolved about the line x = 3. C. 2n f, xy/3dy D. n S,(1- x*)dx A. 2m f(12 +4x - 3x? - x')dx C. 2n (**- 3x2 - 4x + 12)dx B. f(3 + y)dy 5. Find the radius of the outer disk when the region bounded by y = x and y =1+x-x is revolved about the line y = -3. A. x +3 В. х?-х - 4 D. n - 3)dy C. -x? + x - 2 D. 4+x - x?
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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Transcribed Image Text:DIRECTIONS: Solve all problems completely. Show your solution and avoid unnecessary erasures. The
use of mobile phones is not allowed.
I. Choose the best answer and write the letter of the correct answer. If none of the choices is
correct, write Q.
1. Find the area of the region bounded by the parabola x + y + 4 = 0 and the line y = -8 by
taking the elements of area perpendicular to the y-axis.
A. 2 -y - 4 dy
B. -y-4 dy
2. The area of the dosed region in number (1), by the taking the elements of area perpendicular
to the x-axis is
C. 2-y-4 dy
D. 2 , y+4 dy
C. L(x - 4)dx
D. (12 -x)dx
A. (x + 12)dx
B. 2 (-x + 4)dx
3. A solid is generated when the region in the first quadrant bounded by the curve y = x', the
line y = 1, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which
of the following integrals?
A. n,(1- x*)dx
B. 2n f ydy
4. A region in the first quadrant is enclosed by the graphs of the line y = 2, the y-axis, and the
parabola y = 6-x². Find the volume of the solid generated when this region is revolved about
the line x = 3.
C. 2n f, xy/3dy
D. n S,(1- x*)dx
A. 2m f(12 +4x - 3x? - x')dx C. 2n (**- 3x2 - 4x + 12)dx
B. f(3 + y)dy
5. Find the radius of the outer disk when the region bounded by y = x and y =1+x-x is
revolved about the line y = -3.
A. x +3
В. х?-х - 4
D. n - 3)dy
C. -x? + x - 2
D. 4+x - x?
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