Bonus # 3

Ibuprofen in the Bloodstream

Ibuprofen is a pain relief medication. the polynomial function

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

can be used to estimate the number of milligrams of ibuprofen in the bloodstream  t  hours after 400 mg of the medication has been taken.

a)  Graph the function using the window: [ -24, 15, -14400, 8000]   with x scl = 3 and y scl = 800

b)  Graph the function using the window [0, 6, -200, 500] with x scl = 1 and y scl = 100.   

c)  Why is the second graph a better description for this application.

d)  What is the relative maximum  and where does it occur in the domain. 

e) find the number of milligrams in the bloodstream at t = 0, 0.5, 1, 1.5 and so on up to 3 hours.

homepage | math 101 | current assignment | schedule | profile