QUESTION 1. Submit all steps, code, script, solutions, plots, etc. [Mark: 3] Use a Taylor series expansion to determine the zeroth, first, second, third and fourth order approximations of y(x+2^x) where xo = 0 and Ax = 1. Plot and compare the approximations with the exact solution by comparing percentage errors. Generate answers correct to four decimal places. The function is 3 y(x) = x 2x + ax - 3 Here, a, , , are the smallest, second smallest, and third smallest non-zero digits, respectively, of your student ID. E.g., ID = 110 985 247 gives a = 1, = 2, and = 4, i.e., f(x) = 1x - 2x + 4. 2