This is a graded discussion: 15 points possible due Jun 17 Discussion Board Foru

Question

This is a graded discussion: 15 points possible due Jun 17 Discussion Board Forum Unit Project 2 rt lbuprofen in the Bloodstream The polynomial function Mit)- t3.45-966+347.7t can be used to estimate the number of milligrams of the pain relief medication buprofen in the bloodstream t hours after 400 mg of the medication has been taken. Find the number of milligrams in the bloodstream at t 0,0.5, 1,1.5,2.2.5, 3, 35 and so on in intervails of 5 up to 6 hours. Round the function values to the nearest tenth . ng What is significant about the number of milligrams in the bloodstream right about 2 hours? Discuss and explain why would the doctor instruct you to induce lbuprofen, of 400 mg, about every 6 hours for pain relief? Search entries or author Unread ty Reply Replies are only visible to those who have posted at least one reply

Explanation / Answer

M(t)= 0.5t4+ 3.45t3- 96.65t2+ 347.7t

(i)

at t=0, M(0)=0

at t=0.5, M(0.5)= 150.15

at t=1, M(1)= 255

at t=1.5, M(1.5)=318.26

at t=2, M(2)= 344.4

at t=2.5, M(2.5)=338.62

at t=3 hours, M(3)=306.9

at t=3.5 hours, M(3.5)=255.94

at t=4 hours, M(4)=193.2

at t=4.5 hours, M(4.5)=126.9

at t=5 hours, M(5)=66

at t=5.5 hours, M(5.5)=20.21

at t=6 hours, M(6)=0

(ii)

Number of milligrams of ibuprofen in the bloodstream right about 2 hours is maximum.

(iii)

Doctors instruct to induce ibuprofen at every 6 hours as the effect of pain relief reduces to zero as the number of milligrams of ibuprofen induced 400mg reduces to zero at every 6 hours according to the equation.

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