13) Suppose you've been tasked with solving the equation ex – 3x – 2 = cos(x) Given that there are both exponential, polynomial, and trigonometric parts, we cannot directly algebraically solve for x. a) Determine the 2nd order Taylor polynomial associated with each non-polynomial term in the equation. Show all work. b) Replace each non-polynomial term with its approximating Taylor polynomial. c) Determine the exact solution to the resulting polynomial equation – these should be approximate solutions to the original equation. Show work. d) Compare your approximated answers to the decimal solutions of the original equation found in Desmos (or equivalent).

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