Let C (pictured below) be the curve parametrized by the following vector-valued function. r(t) = (t2sint,12cost), 0 S t g 471' (a) Set up a denite integral equal to the length of C. ) ) ((1) Write a vectorvalued function for the tangent line to C at the point corresponding to t = 371' 4 . Approximate the length of C using Simpson's Rule with n = 8 subintervals. Find the slope of the tangent line to C at the point corresponding to t = 3f