Please help by being asked for each question !Please help step by step!

3rd Problem (10 points): The goal of this Problem is to find the Maclaurin series for sinh(x) = el -ex 2 e, and cosh(x) = etex 2 in two different ways. These are the hyperbolic sine and hyperbolic cosine functions, respectively. a) Warm-up. Compute the values of sinh(0) and cosh(0). b) Show that sinh(x) = cosh(x) and cosh(x) = sinh(x). c) Follow the Example on the bottom of page 2 of the PDF for Infinite Series 15 to find the values of the first 8 derivatives of sinh(x), evaluated at x = 0. This should be enough for you to see the pattern to get the values of all the higher derivatives of sinh(x ) at x = 0. d) Form the Maclaurin series for sinh(x). It should look similar to the Maclaurin series for sin(x). What is the difference, though? e) Repeat (c) and (d) for cosh(x). f) Now, starting with the Maclaurin series for et, perform a substitution to get a representation for ex. g) Add or subtract the representations in (f) to get the representations for sinh(x) = eze, and cosh(x) = ex tex 2