Extra Credit Quiz To be turned in to your TA on or before Tuesday May the 5th **

Question

Extra Credit Quiz To be turned in to your TA on or before Tuesday May the 5th ***************************************************************************************** You need to show all your steps. Q: In certain chemical reactions, moecu1es of two different substances react and produce molecules of the third substance (Biomolecule reactions), for some reac1on the rate at which the reaction occurs ?s given by: dy/dt = y^2 -8y+1 5, Find y (the amount of 3rd substance as t increases to infinity).

Explanation / Answer

dy/dt=y^2-8y+15

dy/(y^2-8y+15) =dt

dy/((y-3)(y-5)) =dt

by partial fractions

dy*(1/2)[1/(y-5) -1/(y-3)] =dt

integrate on bothsides

(1/2)[ln(y-5) -ln(y-3)]=t

ln[(y-5)/(y-3)]=2t

[(y-5)/(y-3)]=infinity ,as t is infinity

y-3=(y-5)/infinity

y-3=0

==>y=3

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.