Answer Happy

Answer each question as completely as possible. You must show all necessary steps to be given full credit Show the necessary derivatives, plug in Owhere appropriate, write down the Maclaurin series, and then simplify your final answer. a) Find the first 4 derivatives of y = sinx + cos x and then write the Maciaurin series in expanded form that includes the first 5 terms.

b) Find the first 2 derivatives of y = e* sin x and then write the Maclaurin series in expanded form that includes the first 2 nonzero terms. (Hint: Don't forget about the product rule when finding the derivatives.)