Help me answer these. Thanks.

5) According to work by the psychologist C. L. Hull, the strength of a habit is a function of the number of times the habit is repeated. If N is the number of repetitions and H(N) is the strength of the habit, then H(N) = 1000(1 - e^-kN) , where k is a constant.

(a) Find H'(N) if k = 0.1.

(b) Explain why H'(N) is always positive. What does this mean in the context of habits?

6) Suppose a certain drug is administered to a patient, with the percent of concentration in the bloodstream t hours later given by K(t) = 5t/t^2 +1. On what time interval is the concentration of the drug increasing?