2. Use a linear approximation for values of the fiunction f(a, y) = 2x2 + 4y2near the points (1, 2) to approximate the value of f(1.2,2.1).

(13) A logistic population model with relative growth rate 0.1 per year and carrying capacity 50 thousand can be expressed by the differential equation =0.1P(1 - ), with P in thousands and t in years. Given that the initial population is 9 thousand. Find the population size after 20 years. (If you memorized the formula, then you need to derive it for this problem.)

2. Use a linear approximation for values of the fiunction f(a, y) = 2x²+ 4y²near the points (1, 2) to approximate the value of f(1.2,2.1).

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