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00 (1 point) Write the Taylor series for f (x) = e" about x = 2 as Z c\" (x 2)". n=0 Find the first five coefficients. 00 (1 point) Write the Taylor series for f (x) = x3 about 3: = 3 as Z c\" (x + 3)". n=0 Find the first five coefficients. (1 point) Consider the function f(x) = V): I. Let Tn be the n'h degree Taylor approximation of f (10) about x = 8. Find: T1 = :r2 = T3 = Use 3 decimal places in your answer (1 point) How many years would it take your money to double: (a) At 10% interest compounded yearly. years. (b) At 10% interest compounded weekly. years and weeks. (c) At 10% interest compounded continuously. years. (1 point) How long will it take an investment to triple in value if the interest rate is 7% compounded continuously? Answer: ' years