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Would you like this assignment to be marked? YES NO MA104 Lab Report 5 - Parametric Equations, Polar Coordinates Name: Student Number: Spring 2018 1. [8 marks ] The parametric equations for an epicycloid are given by: x = ( a + b ) cos t - b cos a + b b t , y = ( a + b ) sin t - b sin a + b b t where a is the radius of fixed circle C 0 centered at the origin and b < a is the radius of circle C 1 which is rolled on the outside of C 0 . Consider an epicycloid with a = 18 and b = 3. (a) Using the Maple commands given below, graph the epicycloid for t [0 , 2 π ]. Circle the correct word to finish the following sentence.
Show your plot to one of the I.A.’s and ask them to initial your page: (b) State a definite integral representing the area enclosed by the curve (hint: use symmetry) and then use Maple to evaluate it. State the result as an exact answer. [Recall: Enter Int(f(t),t=a..b); value(%); in Maple to evaluate an integral exactly.]