2. Find maximum area of the rectangle that can be inscribed in the portion of parabola y2 = 4px intercepted by the line x = a where p, a ＞ 0.

(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. Find maximum area of the rectangle that can be inscribed in the portion of parabola y² = 4px intercepted by the line x = a where p, a ＞ 0.

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