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

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/(2t�+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 = 2t�+3
du/dx = 8 dv/dx = 4t
dn/dt =[(2t�+3)(8) � (8t)(4t)]/ (2t�+3)�

=[(16t�+24) � (32t�)]/(2t�+3)�
=(-16t�+24)/(2t�+3)�
=[8(-2t�+3)]/(2t�+3)�
substituting t=0.5, my answer was 1.63g/s.
Am I close?
Thanks so much for you help :o)

Answer by jsmallt9(3758) (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 which, when converted to decimal and rounded to the nearest hundredth, is 1.63.
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