SOLUTION: Hi :o) This is actually a calculus question but it's the fractional algebra stuff that I'm still a little unsure of. I was hoping someone might let me know if I'm on the right tra

Algebra ->  Rational-functions -> SOLUTION: Hi :o) This is actually a calculus question but it's the fractional algebra stuff that I'm still a little unsure of. I was hoping someone might let me know if I'm on the right tra      Log On


   

Question 260672: Hi :o)
This is actually a calculus question but it's the fractional algebra stuff that I'm still a little unsure of. I was hoping someone might let me know if I'm on the right track with this question:
The amount n (in g) of a compound formed during a chemical change is n=8t/(2t²+3), where t is the time (in s). Find dn/dt for t=0.5 s using the quotient rule.
My try:
u = 8t v = 2t²+3
du/dx = 8 dv/dx = 4t
dn/dt =[(2t²+3)(8) – (8t)(4t)]/ (2t²+3)²

=[(16t²+24) – (32t²)]/(2t²+3)²
=(-16t²+24)/(2t²+3)²
=[8(-2t²+3)]/(2t²+3)²
substituting t=0.5, my answer was 1.63g/s.
Am I close?
Thanks so much for you help :o)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Excellent work! Your work is 99.8375001% correct. The exact answer is 80/49 or 1%2631%2F49 which, when converted to decimal and rounded to the nearest hundredth, is 1.63.