104Lab3SolnsS16 - Would you like this assignment to be...

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Would you like this assignment to be marked? YES NO MA104 Lab Report 3 - Volumes, Arc Length, Surface Area Name: Student Number: Spring 2016 1. [10 marks ] Consider the curve y = 4 - x 2 for x [0 , 2]. State the definite integral(s) required to determine each of the following and evaluate each using Maple’s int(f(x),x=a..b); or int(g(y),y=c..d); commands. [Note: Units may be ignored.] (a) The volume of the solid generated by rotating y about the x -axis using the “disk” method.
(b) The volume of the solid generated by rotating y about the x -axis using the “cylindrical shell” method.
(c) The arc length of y .
(d) Integrating with respect to x, the surface area of the solid generated by rotating y about the x -axis.

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