Find the volume generated by revolving about the x-axis, the region enclosed by y=x^2+1 and 3x−2y=−4 Be sure to draw the region in the x-y plane, label the axis of revolution, state your method (disc...
Find the volume generated by revolving about the x-axis, the region enclosed by y=x^2+1 and 3x−2y=−4
Be sure to draw the region in the x-y plane, label the axis of revolution, state your method (disc or shell), draw a rectangle to be rotated, label the thickness (dx or dy), state the integral, and sketch the resulting 3D shape. State the volume exactly. show all work please.
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Find the volume generated by revolving about the x-axis, the region enclosed by y=x^2+1 and 3x−2y=−4 Be sure to draw the region in the x-y plane, label the axis of revolution, state your method (disc...
Use the disc method to find the volume generated by revolving the region bounded by y 2x2 and the...
Use the disc method to find the volume generated by revolving the region bounded by y 2x2 and the lines 0 and x 2 about the x-axis. y
Use the disc method to find the volume generated by revolving the region bounded by y 2x2 and the lines 0 and x 2 about the x-axis. y
30) In order to find the volume of the solid of revolution created by revolving the area bounded by the curves y 4-...
30) In order to find the volume of the solid of revolution created by revolving the area bounded by the curves y 4-x2, y Ln(x), and x-0.1 round the line x= -2: Sketch the region, Draw the Representative Shell, Label the location variable, Label the thickness, and Label the radius with the appropriate function. Write the Reimann Sum, convert to an integral and calculate the volume using a calculator or CAS Thickness Perimeter Height =
30) In order to find...
The region enclosed by y = Vx and y = 5x is rotated around the x-axis....
The region enclosed by y = Vx and y = 5x is rotated around the x-axis. Choose the integral that can be used to find the volume of the solid of revolution. & S (x - 12 ) dx = [" (432 – y") dy
Find the volume of the solid of revolution generated by revolving about the x-axis the region...
Find the volume of the solid of revolution generated by revolving about the x-axis the region under the curve y= sqrt(9−x2) from x=−3 to x=3.
Find the volume of the solid generated by revolving the region about the y-axis. The region...
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by x = y 1/3, x = 0, y = 27 243 729 5 Π 243 П 811 Find the volume of the solid generated by revolving the shaded region about the given axis. About the x-axis y = 3./sinx o 12.90 3-2-31 o în nata No No No 12 + 9rt
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...
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 9...
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 96x 7 9. Set up and evaluate the definite integral for the area of the surface formed by revolving graph of y-9-2 about the y-axis. Round your answer to three decimal places.
8. Use the shell method to set up and...
Find the volume of the solid generated by revolving the region about the y-axis. The region...
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by the triangle with vertices (0, ),(4,0), (4,2) 16 O 31 OO 64TT
1) Setup the integral that would represent the volume generated in revolving the region enclosed by...
1) Setup the integral that would represent the volume generated in revolving the region enclosed by y = -(x-2)(x-4) and the x-axis about the line x = 1 (Setup Only)
Use the shell method to find the volume of the solid generated by revolving the region...
Use the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the x-axis x=y? x= - 2y, y=2, y20 The volume is (Type an exact answer, using a as needed.)
Use the disc method to find the volume generated by revolving the region bounded by y 2x2 and the lines 0 and x 2 about the x-axis. y
Use the disc method to find the volume generated by revolving the region bounded by y 2x2 and the lines 0 and x 2 about the x-axis. y
30) In order to find the volume of the solid of revolution created by revolving the area bounded by the curves y 4-x2, y Ln(x), and x-0.1 round the line x= -2: Sketch the region, Draw the Representative Shell, Label the location variable, Label the thickness, and Label the radius with the appropriate function. Write the Reimann Sum, convert to an integral and calculate the volume using a calculator or CAS Thickness Perimeter Height =
30) In order to find...
The region enclosed by y = Vx and y = 5x is rotated around the x-axis. Choose the integral that can be used to find the volume of the solid of revolution. & S (x - 12 ) dx = [" (432 – y") dy
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by x = y 1/3, x = 0, y = 27 243 729 5 Π 243 П 811 Find the volume of the solid generated by revolving the shaded region about the given axis. About the x-axis y = 3./sinx o 12.90 3-2-31 o în nata No No No 12 + 9rt
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...
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 96x 7 9. Set up and evaluate the definite integral for the area of the surface formed by revolving graph of y-9-2 about the y-axis. Round your answer to three decimal places.
8. Use the shell method to set up and...
Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed by the triangle with vertices (0, ),(4,0), (4,2) 16 O 31 OO 64TT
1) Setup the integral that would represent the volume generated in revolving the region enclosed by y = -(x-2)(x-4) and the x-axis about the line x = 1 (Setup Only)
Use the shell method to find the volume of the solid generated by revolving the region bounded by the curves and lines about the x-axis x=y? x= - 2y, y=2, y20 The volume is (Type an exact answer, using a as needed.)
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