Determine the volume. Rotate the region bounded by y22-611, y 6 about the y-axis.
Determine the volume of the solid formed by rotation about the y-axis of the region bounded by the curve y=10lnx the x-axis, the y-axis and the line y=10*ln21
7. Match the volume of the solid obtained by rotating the region bounded by the given curves about about the given axis to the corresponding integra 1, the region bounded by y-V , х--8 and the x-axis about the x-axis. 2. the region bounded by 8 and the r-axis about the y-axis. 3, the region bounded by y-V , y-2 and the y-axis about the x-axis. 4. the region bounded by V2 and the y-axis about the y-axis. 5, the...
find the volume of the solid of revolution generated by rotating the given area about the given axis x y22, y + 4; about the line 1 (ignore the lines in the area) = 2 y22 1 6 4 -1 x y22, y + 4; about the line 1 (ignore the lines in the area) = 2 y22 1 6 4 -1
14) Determine the volume of the solid obtained by rotating the region bounded by y = 4x and y = x3 about y-axis. Assume that x ≥ 0.
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.)
Find the volume of the solid obtained when the region bounded by the y- axisthe region bounded byy- 3a2- andy-0 is rotated about the y - axis. Find the volume of the solid obtained when the region bounded by the y- axisthe region bounded byy- 3a2- andy-0 is rotated about the y - axis.
Question3 (a) Find volume of the solid generated by revolving the region bounded by the two parabolas y 2x2 and y-+4 about the y -axis. 17) Question3 (a) Find volume of the solid generated by revolving the region bounded by the two parabolas y 2x2 and y-+4 about the y -axis. 17)
Math232 2 Consider the region in first quadrant area bounded by y x,x=6, and the x-axis. Revolve this bounded region about the x-axis a) Sketch this region and find the volume of the solid of revolution; use the disk method, and show an element of the volume. (15 marks) b) Find the coordinates of the centroid of the solid of revolution Find the moment of inertia of the solid of revolution with respect to the x-axis. d) Math232 2 Consider...
Region bounded by y=x², X=2 & axis a whats the integral that describes the volume or the solid made by rotating the region about the x a b) The y axis ? c) x=5?
Find the volume of the solid obtained by rotating, about the x-axis, the region bounded by: y = 4x and x = 2y.