Suppose that the percent p (as a decimal) of people who could correctly identify two of eight defendants in a drug case t days after their trial began is given by:

p(t) = t^2+ 8.1t+ 0.06

a. Find the number of days before the percent is maximized.
b. Find the maximum percent.

a) 4 days, b) Maximized percent = 16.46.

Step-by-step explanation:

Since we have given that

We need to find the maximum percent and number of days before the percent is maximized.

So, first we derivative the above p(t), we get that

Now, we will find the critical points :

So, we will check at t = -4.05, whether it gives maximum percent or not.

So, it becomes,

So, a) there would be 4 days before the percent is maximized.

b) maximum percent would be

Hence, a) 4 days, b) Maximized percent = 16.46.

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step-by-step explanation:

y=mx+