Find the volume of the figure whose base is the region bounded by y = x^2...

Find the volume of the figure whose base is the region bounded by y = x^2 + 4, y = x^2, the y-axis, and the vertical line x =2, and whose cross sections are squares parallel to the x-axis.

Expert Solution

milcah answered 3 years ago

find the volume of the region bounded by y=sin(x) and y=x^2 revolved around y=1

1. Find the volume of the region bounded by y = ln(x), y = 1, y...

1. Find the volume of the region bounded by y = ln(x), y = 1, y = 2, x = 0 and rotated about the y-axis. Which method will be easier for this problem? 2. Find the volume of the region bounded by y = 2x + 2, x = y2-2y and rotated about y = 2. Which method will be easier for this problem? NOTE: You do not need to integrate this problem, just set it up.

Find the volume of the solid obtained by rotating the region bounded by y = x...

Find the volume of the solid obtained by rotating the region bounded by y = x 3 , y = 1, x = 2 about the line y = −3. Sketch the region, the solid, and a typical disk or washer (cross section in xy-plane). Show all the work and explain thoroughly.

Find the volume of the solid that results when the region bounded by y=√x , y=0,...

Find the volume of the solid that results when the region bounded by y=√x , y=0, and x=16 is revolved about the line x=16.

Find the volume of the solid generated by revolving the region bounded by y = sqrt(x)...

Find the volume of the solid generated by revolving the region bounded by y = sqrt(x) and the lines and y=2 and x=0 about: 1) the x-axis. 2) the y-axis. 3) the line y=2. 4) the line x=4.

A volume is described as follows: 1. the base is the region bounded by x =...

A volume is described as follows: 1. the base is the region bounded by x = − y 2 + 16 y + 5 and x = y 2 − 30 y + 245 ; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object.

Find the centroid of the region bounded by the given curves. y=x^2 , x=y^2

1. The base of a solid is the region in the x-y plane bounded by the...

1. The base of a solid is the region in the x-y plane bounded by the curve y= sq rt cos(x) and the x-axis on [-pi/2, pi/2] . The cross-sections of the solid perpendicular to the x-axis are isosceles right triangles with horizontal leg in the x-y plane and vertical leg above the x-axis. What is the volume of the solid? 2. Let E be the solid generated by revolving the region between y=x^3 and y= sr rt (x) about...

Find the area of the region bounded by the parabolas x = y^2 - 4 and...

Find the area of the region bounded by the parabolas x = y^2 - 4 and x = 2 - y^2 the answer is 8 sqrt(3)

(18) The region is bounded by y = 2 − x 2 and y = x....

(18) The region is bounded by y = 2 − x 2 and y = x. (a) Sketch the region. (b) Find the area of the region. (c) Use the method of cylindrical shells to set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region about the line x = −3. (d) Use the disk or washer method to set up, but do not evaluate, an integral for the volume of...

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