The region enclosed by the curve
y=8sechx,
the x-axis, and the lines
x=±ln3
is revolved about the x-axis to generate a solid. Find the volume of the solid.
The region enclosed by the curve y=8sechx, the x-axis, and the lines x=±ln3 is revolved about...
The region Bounded by the curves y=x2 is revolved about the x-axis. Give an integral for the volume of the solid that is generated. The region bounded by the curves y = 3x and y = x' is revolved about the x-axis. Give an integral for the volume of the solid that is generated. va | ndx (Type an exact answer using a as needed.)
iIf the region enclosed by the y-axis, the line y=2, and the curve y=sqrt(x) is revolved about the y-axis, the volume of the solid generated is
10. The region bounded by y = x², y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative shell. c) Set-up the integral to find the volume using cylindrical shells. DO NOT SOLVE!!!
The region between y=x and y=(x-2)^2 is revolved about the x axis. Find the volume of the solid. Then find the volume if revolved about the y-axis.
9. The region bounded by y = x2, y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative disk/washer. c) Set-up the integral to find the volume using disks/washers. DO NOT SOLVE!!!
Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the y-axis is (Type an exact answer, using n as needed.) Find the volume of the solid generated by revolving the shaded region about the y-axis. T 0.5 x 2 tan X 1.5 The volume of the solid generated by revolving the shaded region about the...
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
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+...
QUESTION 8 The region enclosed by the curves y=x3, y=0, and x = 2 is revolved about the x-axis. What is the volume of the resulting solid? O 32 - TT 3 96 5 TT 0 471 128 TT 7 64 TT
Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the solid is (Type an exact answer.) Let R be the region bounded by the following curves. Find the volume of the solid generated when R is revolved about the y-axis. X -1 20 x0, y y sin cubic units The volume of the...