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#6) a) Set up an integral for the volume of the solid S generated by rotating...

#6) a) Set up an integral for the volume of the solid S generated by rotating the region R bounded by x= 4y and y= x^1/3 about the line y= 2. Include a sketch of the region R. (Do not evaluate the integral).

b) Find the volume of the solid generated when the plane region R, bounded by y^2= x and x= 2y, is rotated about the x-axis. Sketch the region and a typical shell.

c) Find the length of the curve  from 1 to x = 3

d) Find the area of the surface obtained by rotating the curve x= 1 + 2y^2, 1 < y < 2, about the x-axis.

Please write as large and clearly as possible (my eyesight is not the best, so this is very appreciated for clarity reading the question response over). Thank you.

Math   Calculus   
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