document.write( "Question 260672: Hi :o)
\n" ); document.write( "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:\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "My try:\r
\n" ); document.write( "\n" ); document.write( "u = 8t v = 2t²+3
\n" ); document.write( "du/dx = 8 dv/dx = 4t\r
\n" ); document.write( "\n" ); document.write( "dn/dt =[(2t²+3)(8) – (8t)(4t)]/ (2t²+3)²
\n" ); document.write( "
\n" ); document.write( " =[(16t²+24) – (32t²)]/(2t²+3)²
\n" ); document.write( " =(-16t²+24)/(2t²+3)²
\n" ); document.write( " =[8(-2t²+3)]/(2t²+3)² \r
\n" ); document.write( "\n" ); document.write( "substituting t=0.5, my answer was 1.63g/s.
\n" ); document.write( "Am I close?
\n" ); document.write( "Thanks so much for you help :o)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #192019 by jsmallt9(3758) $\"\"$ $\"About$

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. \n" ); document.write( "

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