For a population growing according to the logistic model, a per capita reproductive rate can be calculated, which is defined to be equal to the

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For a population growing according to the logistic model, a per capita reproductive rate can be calculated, which is defined to be equal to the equation below. g(N) = - f(N) N ( 1 - # ) . NZO Complete parts (a) through (c) below. (a) Plot the function g(N) for r= 3 and K= 7. Choose the correct answer below. A. O B. O C. O D. Ag(N) Ag(N) Ag(N) Ag(N) 2- -2- 14 3 120 -2- (b) For the parameters r= 3 and K= 7, use calculus to find g'(N), and determine where the function g(N) is increasing and where it is decreasing. 9'(N) = - 3 7 (Type an exact answer in simplified form.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function g is decreasing on |0| and is not increasing on any interval. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) O B. The function g is increasing on and is decreasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answers.) O C. The function g is increasing on and is not decreasing on any interval. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.)