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) = N' = ( 1 - K ) . NZO Complete parts (a) through (c) below. (a) Plot the function g(N) for r = 3 and K= 7. Choose the correct answer below. CA. OB. O C. O D. Ag(N) 4- Ag(N) 4- Ag( N) Ag(N) 4- 4- 2- N N N (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- g'(N) = (Type an exact answer in simplified form.)