Find the area of the surface generated when the arc of the curve... between t=0 and y=1 is revolved about:
a) the y-axis b) the x-axis c) the line y= -1
Please see attached for all twelve questions (circled problems).© BrainMass Inc. brainmass.com December 24, 2021, 5:16 pm ad1c9bdddf
Please see the attached file for the complete solution.
Thanks for using BrainMass.
(a) about y-axis
Because the curve is in quadrant II, area becomes negative. To get the right sign, include a negative sign in front of the integral.
b) about x-axis
c) about y = -1
Let u = 1+x
x = u - 1
du = dx
when x = 0, u = 1
when x = 3, u = 4
Refer to the ...
Twelve problems regarding Area of Surface and Volume of Solid of Revolution are solved. The solution is detailed and well presented.