Find the volume of the solid obtained by revolving the area under y=cosx on [0,π/2] around...

Find the volume of the solid obtained by revolving the area under y=cosx on [0,π/2] around the y-axis.

The total weight of a cable hanging from the ceiling plus the bucket of coal it is attached to is F(x)=1800−2x pounds when the bucket is xx feet off the ground (the cable gets shorter as the bucket is lifted, so the weight decreases). Find the total work done in lifting the bucket from the ground to 100 feet off the ground.

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milcah answered 2 years ago

a) Find the volume of the solid obtained by revolving the region in the first quadrant...

a) Find the volume of the solid obtained by revolving the region in the first quadrant bounded by the curves y= x^(1/2) & y= x^5 about the x-axis b) Find the volume of the solid obtained by revolving the region between the curve f(x)= x^(1/3) , the line y=2, and the line x=8 about the y-axis

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Find the volume of the solid obtained by revolving the region bounded above by the curve y = f(x) and below by the curve y= g(x) from x = a to x = b about the x-axis. f(x) = 3 − x2 and g(x) = 2; a = −1, b = 1

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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.

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Find the volume of the solid generated by revolving the region bounded by the graphs of...

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Find the eigenvalues and eigenfunctions of the problem y" + λy = 0 , y(−π/2) =...

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