5. The manager of the Coffee Bean Cafe determines that the demand for a new flavour of coffee is modelled by the function D(p), where p represents the price of one cup, in dollars, and D is the number of cups of coffee sold at that price. 16 if0

4 a) Determine the value of each limit, if it exists. 1) lim D(p) ") lim D(p) lii) lim D(p) p-4+ P-+4 b) Interpret the meaning of these limits.6. The height of a javelin tossed into the air is modelled by the function H(t) = -4.912 + 10t + 1, where H is height, in metres, and f is time, in seconds. a) Determine the rate of change of the height of the javelin at time f. Express the derivative using Leibniz notation. b) Determine the rate of change of the height of the javelin after 3 s