Question 2 The proportion of the original number of pimples remaining on a teenager's face, P(), / days after a major breakout can be modelled by the function P() = 1 - _ tan ({ ). /20. (a) Sketch the graph of P(t), clearly indicating any axial intercepts and equations of the asymptotes. (2 marks) What percentage remains one day after the major breakout? Give your answer correct to 2 decimal places. (1 mark) ) By what percentage has the pimple population dropped after six days? Give your answer correct to 2 decimal places. (1 mark)d) After how many days is the population quarter of its original number? (2 mark (e) Find the decreasing rate of change of the population after six days. (2 mark (f) When is the rate of decline of the population proportion greatest? (2 mark