1) 2) A population of bacteria is growing in such a way that its total number (in millions) is given by the function PU) = 2(13)' +35 _, where t is measured in days. Determine the instantaneous rate at which the population is growing on day 4. Clearly show your steps, round your answer to one decimal place, and include units. Let m and p be differentiable functions for which the following information is known: 3 5 _ LL --- a) Let H be a new lnction defined by the rule H (x) = m(x) - p(x). Determine a formula for H '(x) and then use your formula and the table above to nd H '(5). . mm b) Let R be the function dened by the rule R(x) = ( ) . p x Determine a formula for R '(x) and then use your formula and the table above to nd R '(5). Give a simplied, exact answer (no decimals)