Determine the linearization of f(ac) = -202 - 2 2+5 at x = -6. L(ac) =Consider the following function: f(2) = Vac+3 (a) What is the linearization L(a) of the function at x = 1? L (ac) = (b) Use your answer in part (a) to approximate v3.6. Enter your answer correct to 3 decimal places. Number University of Waterloo Calculus Bank/ Differentiation/Approximations/Linearization/ Q04 (c) Is this an overestimate vi ull unuCI Juuwi O Overestimate O UnderestimateSuppose you're studying a population of a species and you've constructed the following mathematical model for the population level: P(t) = 500th where t is the time in years after the initial date, and B is a constant. (a) If the population after 5 years is 1,500, find ,6. Number University of Waterloo Calculus Bank] Differentiation/Approximationleinearization] . . . 008 ('3) Use a \"near apprOXImatIon centered at a. = 5 YUGID LU plcmu. Lllc pupmauuu level at year 12 (t = 12). Round off your answer to the nearest integer. Number (c) Use a linear approximation centered at a = 5 years to approximate the initial population (t = 0). Round off your answer to the nearest integer. (Your answer will be much less than the exponential model would predict - and maybe even negative! Think about why that might be.) Number