1. 3 3 Consider the curve given by g(t) = a cos t, a sin 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. 2. consider a frictional force which is constant in magnitude, and acts to oppose the motion of a particle. show that the work done against friction is proportional to the length of the path