Determine the location of the center of mass of the region bounded above x^2 + y^2...

Determine the location of the center of mass of the region
bounded above x^2 + y^2 = 100 and below y = 6. Assume the region has a uniform
density.

Two answer I got were (0, -64/9) & (0, ((2048/3)/100arcsin(4/5)) -48))

Expert Solution

milcah answered 2 years ago

Sketch the region bounded above the curve of y=(x^2) - 6, below y = x, and...

Sketch the region bounded above the curve of y=(x^2) - 6, below y = x, and above y = -x. Then express the region's area as on iterated double integrals and evaluate the integral.

(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...

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

Consider the region bounded between y = 3 + 2x - x^2 and y = e^x...

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

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Find the center of mass of the solid bounded by z = 4 - x^2 -...

Find the center of mass of the solid bounded by z = 4 - x^2 - y^2 and above the square with vertices (1, 1), (1, -1), (-1, -1), and (-1, 1) if the density is p = 3.

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

Determine the centroid of the area bounded by x^2 − y = 0 and x −...

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The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis. A) find the approximation...

The region bounded by y=(1/2)x, y=0, x=2 is rotated around the x-axis. A) find the approximation of the volume given by the right riemann sum with n=1 using the disk method. Sketch the cylinder that gives approximation of the volume. B) Fine dthe approximation of the volume by the midpoint riemann sum with n=2 using disk method. sketch the two cylinders.

a) Find the area of the region bounded by the line y = x and the...

a) Find the area of the region bounded by the line y = x and the curve y = 2 - x^2. Include a sketch. Find the volume of the solid created when rotating the region in part a) about the line x = 1, in two ways.

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