1. Given f(2) = 12 and f'(2)=3, fL(x) = f(c) + f'(c)(x-c) a. write a linearization for f with respect to x. f(x)= 12 +3(x-2) b. Use the linearization to estimate f at x=5. AL(S)=12+ 3(5-2) = 21 2. The future value of an investment of $1,000 after 1 years is given by f(1) = 1,000- (1.04). a. Calculate the future value (rounded to the nearest cent) after 20 years. f(t)= 1,000. (1.04) 2191.12 = b. Compute the rate of change in the future value after 18 years. t 8 f(t) = 1,000. (1.04) *. en (1.04) >> f (t) = 1,000. (1.04) en (1.04) = 85.94.