1. (10 points) Find the Maclaurin series of cos? (x) and it's interval of convergence. Hint: a double-angle identity might be helpful here.] 2. (10 points) Find the first four non-zero terms of the Taylor series of sin(x) centered at a = 7/4. 3. (10 points) Use Simpson's method with n = 4 subintervals to estimate dx o 1 + 24 Round your final answer to five decimal places. You may use a calculator on this problem, but you must write out all the calculations you performed on your calculator