Can someone please help

(a) The sales ofa hook publication are expected to grow according to the function 8 = 3000000 e'\"-"'), where t is the time, given in days. (i) Show using differentiation that the sales never attains an exact maximum value. (ii) What is the limiting value approached by the sales function? (h) A poll commissioned by a politician estimates that t days after he makes a statement denegrating women, the percentage of his constituency (those who support him at the time he 15oz 3t + 25) made the statement) that still supports him is given by 5(t) = t3 + 3t + 25 The election is 10 days after he made the statement. (i) lfthe derivative S'(t) may be thought of as an approval rate. derivate the a function for his approval rate. (ii) When was his support at its lowest level? (iii) What was his minimum support level? (iv) Was the approval rate positive or negative on the date ofthe election? (c) Lara offers 100 autograph hats. If each is priced at p dollars, it is that the demand curve d d for the bast will be p = 250 - E. if price elasticin is E(p) = $+ E. When IE(p)| 1, demand is elastic. (1) Find the price elasticity of demand for Lara's bats. (ii) Is demand inelastic or elastic