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1. Consider the curve given by g(t) = a cos3 t, a sin3 t , where t [0, 2] and a > 0 is a

1. Consider the curve given by g(t) = a cos3 t, a sin3 t , where t [0, 2] and a > 0 is a constant. (a) Sketch the curve. (b) Find the unit tangent and outward normal vectors. (c) Compute the area enclosed by this curve

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