Seth W. answered • 08/29/20
Tutor
New to Wyzant
Where passion and purpose collide...
Integrate from (0 to 7) the velocity function (or rate of change) to find the total reduction of LDL levels from day 0 to 7.
Remember- Integral means area under the curve or total something.
If L'(t) = Rate of Change of LDL levels per day
L(t) = Total change of LDL levels from (x1 to x2 )
Then, you must add 120 (or the +c) to find how his levels dropped by taking the medicine.
Should be 95.0978
Milan B.
Hi, I got he same answer which is 24.90. How lever it is a negative value and thus should it be added to 120(initial value) 120 -(-24.90) And the final answer is L(t) = 0.107(49-t^2)^1.4 + 95.098 I still could not fathom why the final answer is the integral of the derivative of original function (without definite bounds) + 95. Please explain if you could. Thanks for the help.
Report
08/30/20
Tom K.
Seth has the right answer but has not shown how to get the answer. I leave it to him to amend his note above. I will give a hint. Note that [(49-t^2)^1.4]' = -2t(1.4)(49-t^2)^.4 = -2.8t(49-t^2)^.4, so when we integrate, we get a coefficient of 3/2808/29/20