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Please solve the following question. Please show all steps. (3) (3.) Find the length of the curve y = 3:2 from .7: = 0 to

Please solve the following question. Please show all steps.

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(3) (3.) Find the length of the curve y = 3:2 from .7: = 0 to :1: = 1. Hint: After the trigonometric substitution, you will need to nd an antiderivative of see3 6. 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 a; = 0 to I = 1 about the yiaxis. (c) Write down an integral the describes the surface of revolution generated by rotating the curve 3; = 3:2 from a: = 0 to a: = 1 about the maxis. Do not attempt to evaluate the integral

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