As a pharmacist, you are responsible for knowing about medication dosage, and how long a dose stays in the patient's system. Let's look at an example of a common medication, called ibuprofen. When a patient takes a 400 mg dose of ibuprofen, it releases into the bloodstream at a
certain rate, and then decreases over time. The function that models this concentration of medicine over time is complex and looks like this:
P(t) = 0.5t4 +3.45t³-96.65t2 + 347.7t, when 0 ≤t≤6 In this function above, P(t) s the amount of medication (in mg) in the blood stream at time t (in hours). When put into a graphing software, it looks like this:

1. How much ibuprofen would be in a patient’s bloodstream 5 hours after taking the medicine. Mark on graph. Using graphing calculator (Must be exact values)
2. How long does it take for the medicine to hit its peak concentration in the bloodstream?
3.What is the peak concentration of the medicine in the bloodstream
4. Explain your process in detail for finding these values.