Q1 please help

Question 1 The population, p, of deer in a conservation area is modelled by p(t) - 100 + 2 , t 2 0, where t is the time in years since the creation of the conservation area. a) Analyse the model by responding to the following. i) Show that p (t) = 3200t ( 4 + + 2 ) 2 ii) Show that p"(t) = 3200(4-3t7) (4+12) 3 iii) Solve for the vertical and horizontal asymptotes. iv) Solve for the critical point(s). ") Solve for the intervals of increase and decrease. vi) Solve for the local maximums and/or minimums. vii) Solve for the intervals of concavity. I viii) Solve for the inflection point(s). b) Sketch the graph of the deer population. c) How many deer will populate this conservation area in the long run? d) When is the deer population increasing most rapidly