Find the volume of the resulting solid if the region under the curve y = 7/(x2...
Find the volume of the resulting solid if the region under the curve
y = 7/(x2 + 3x + 2)
from x = 0 to x = 1 is rotated about the x-axis and the y-axis.
(a) the x-axis
(b) the y-axis
Homework Answers
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Find the volume of the resulting solid if the region under the
curve
y = 7/(x2...
17) Let Rbe the region enclosed by the loop in the curve x-t, y--t34t.If Ris rotated about the x-axis, find the volume of the resulting solid parametrically. (Show your work) 17) Let Rbe the reg...
17) Let Rbe the region enclosed by the loop in the curve x-t, y--t34t.If Ris rotated about the x-axis, find the volume of the resulting solid parametrically. (Show your work)
17) Let Rbe the region enclosed by the loop in the curve x-t, y--t34t.If Ris rotated about the x-axis, find the volume of the resulting solid parametrically. (Show your work)
8. Consider the region bounded by the y = x2 - 2x + 1 and y...
8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...
1) 2) Use shells to find the volume (in units”) of the given solid. Note that...
1)
2)
Use shells to find the volume (in units”) of the given solid. Note that the rotated region lies between the curve and the x-axis and is rotated around the y-axis. Vineri 1 - ,X = 0, and x units Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis. y = 4 – x2, x = 0, y = 0 Х
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over th...
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval -+Sxs- about the x-axis. 4 interval--< x 4 about the x-axis The volume is cubic unit(s). (Type an exact answer, using radicals and t as needed.)
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval...
1) Find the volume of the solid obtained by rotating the region in the first quadrant...
1) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x=0, y=1, x=y^7, about the line y=1. 2) Find the surface area of revolution about the x-axis of y=7x+4 over the interval 1≤x≤4. 3)The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated about the y-axis. Find the volume of the solid of revolution. Find the exact value; write answer without decimals.
Find the volume of the solid generated by revolving the region R bounded by the graphs...
Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis. 17)x= x=0, between y=- 4 and y = 4 17) 18) bounded by the circle x2 + y2 = 16, by the line x = 4, and by the line y = 4 18) Find the volume of the solid generated by revolving the region about the given line. 19) The region in the first quadrant bounded...
Find the volume of the solid generated by revolving the region bounded by the graphs of...
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = 3/x y=0 x = 1 x = 3 Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = 1/(sq3x+5) 1 sq 3x + 5 y = 0 x = 0 x = 7
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following lines. a. The line x 5 b. The line xE - 2 C. The x-axis d. The line y 25
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following...
Find the volume of the solid created by revolving the region bounded by the curves y=x2...
Find the volume of the solid created by revolving the region bounded by the curves y=x2 and x2+y2= 1 about the x-axis.
17) Let Rbe the region enclosed by the loop in the curve x-t, y--t34t.If Ris rotated about the x-axis, find the volume of the resulting solid parametrically. (Show your work)
17) Let Rbe the region enclosed by the loop in the curve x-t, y--t34t.If Ris rotated about the x-axis, find the volume of the resulting solid parametrically. (Show your work)
8. Consider the region bounded by the y = x2 - 2x + 1 and y = 1 + 2x - x? Find the area of the region. a. b. Find the volume of the solid when the region is rotated about the x-axis. c. Find the volume of the solid when the region is rotated about the y-axis. d. Find the volume of the solid when the region is rotated about the line x = 5. e. If the...
1)
2)
Use shells to find the volume (in units”) of the given solid. Note that the rotated region lies between the curve and the x-axis and is rotated around the y-axis. Vineri 1 - ,X = 0, and x units Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the x-axis. y = 4 – x2, x = 0, y = 0 Х
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval -+Sxs- about the x-axis. 4 interval--< x 4 about the x-axis The volume is cubic unit(s). (Type an exact answer, using radicals and t as needed.)
Find the volume of the solid generated by revolving the region bounded by the curve y 7 sec x and the line y 72 over the interval...
Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis. 17)x= x=0, between y=- 4 and y = 4 17) 18) bounded by the circle x2 + y2 = 16, by the line x = 4, and by the line y = 4 18) Find the volume of the solid generated by revolving the region about the given line. 19) The region in the first quadrant bounded...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following lines. a. The line x 5 b. The line xE - 2 C. The x-axis d. The line y 25
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y 3x+10 and the parabola y x2 about the following...
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