30) In order to find the volume of the solid of revolution created by revolving the area bounded by the curves y 4-...
27) In order to find the volume of the solid of revolution created by revolving the area under the curve y= x(over the interval [-1,3]) around the x-axis: Sketch the region, Draw the Representative disk or washer, Label i, Label the thickness, and Label the radius with the appropriate function. Write the Riemann Sum
27) In order to find the volume of the solid of revolution created by revolving the area under the curve y= x(over the interval [-1,3]) around...
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.
1) Find the volume of the solid generated by revolving the region bounded by the curves about the x-axis. Use the disk/washer method and show all work in evaluating the integral y=x", y = x 2) Find the volume of the solid generated by revolving the region bounded by the curves about the y-axis. Use the disk/washer method and show all work in evaluating the integral y=x, y = 8,x=0,
Find the volume of the solid of revolution formed by revolving the region bounded by the x-axis, the curve y=x+sinx, and the line x=π about the x-axis.
1. Find the volume of the solid created by revolving the region bounded by the curves y = r2 and 2.2 + y2 = 1 about the 2-axis. 2. A spherical tank has a radius of 8 m. If the tank is completely filled with water, compute the work required to pump all of the water to the level of the top of the tank.
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...
volumes of revolution
3) Find the volume of the solid formed by revolving the region bounded by the graphs of y- x+1, y +1, x 0, and x-1 about the x-axis.
3) Find the volume of the solid formed by revolving the region bounded by the graphs of y- x+1, y +1, x 0, and x-1 about the x-axis.
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.
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. 6) y = x2 + 4, y = 4x + 4 6)
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+...