Answer the following three question parts. (a) Find the value of the first and second derivatives of r at t = 0 from the ODE. Then set up a recurrence relation for the values of all subsequent derivatives of r at t = 0. (b) Write out do, a, and a2 from the information you have about the relevant derivatives. Then set up a recurrence relation for the remaining coefficients a, of the Mclaurin series for r(t). (c) Write out the first six terms of the McLaurin series for the function. Explain how the coefficients a, will change as k becomes larger. Page 2 of 4