Bloodstream Rush
Calculus
Level
pending
Function D(t) is (4t)/ 0.01^2 +5.1) Given the concentration D, drug, of a drug in the bloodstream where D is measured in micrograms per milliliters and t is minutes from the time the drug is taken . What is the maximum concentration of the drug found in the blood at any time?
0.001 ug/ml
8.856 ug/ml
4 ug/ml
22.583 ug/ml
5.1 ug/ml
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1 solution
Find maximum. Do 20.4-0.04t^2=0. T^2=20.4/0.04. Take square root of 510. Plug in square root of 510 for 10. Arriving at the correct answer of 8.856