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 made the statement) that...

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
made the statement) that still supports him is given by S(t) =

75(t²-3t+25)

t²+3t+25


The election is 10 days after he made the statement.
(i) If the 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 of the election?

Lim

x→∞
5x^-3-4

                2x^-2+9

Lim
 (x-3)²

x→∞x²
-2x-3

                 2