Please answer the following questions. Please show ALL steps.

(3) (a) Find the length of the curve y = 3:2 rom cc = 0 to .1: = 1. Hint: After the trigonometric substitution, you will need to nd an antiderivative of sec3 9. The method of nding this is shown in section 6.1 of the Adams text, but you can just quote the result. (b) Find the surface area of the surface of revolution generated by rotating the curve 3; = 3:2 from :1: = 0 to .1: = 1 about the yaxis. ((3) Write down an integral the describes the surface of revolution generated by rotating the curve :1; = .132 from :r = 0 to 9: = 1 about the :raxis. Do not attempt to evaluate the integral