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Mathematics, 17.03.2021 23:40 shanekamayo9900

Drug Testing The concentration of a drug (in parts per million) in a patient's bloodstream hours after administration of the drug is given by the function P(t) = -t^4+12t^3-9t^2+108t
a. When will the drug be totally eliminated from the bloodstream? Explain.
b. Looking at your graph, estimate the maximum concentration of the drug (since the coefficients of P(x) have been chosen to make the polynomial “nicer” this number will be abnormally high).
P(t)≈ 2400

P(t)≈2500

P(t)≈ 2450

P(t)≈ 2550

c. Again, looking at your graph, estimate the time at which the maximum concentration occurs.
a) t≈9.5
b) t≈8
c) t≈9
d) t≈8.5

d. estimate the amount of time for which the concentration is above 80% of maximum.
a) t=7.5
b) t=7
c) t= 6.5
d) t=6
please help this is due soon im lost and i have no tutoring avilable rn to help me

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