midterm2+solutions

midterm2+solutions - , 1. (10points) A A freshly...

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, 1. (10points) A freshly inoculated bacterial culture of Streptococeus A (a common group of microorganisms that cause step tlroat) contains 100 cells. When the culture is checked 60 minutes later, it is determined that there are 450 cells presenl a) If the bacteria inqease exponentially, find an equation for the number of cells present at any time / (r measured in minutes). n hE H= ftoe bok *ho = IDO 45o ,, r -60 h =ufr2=e Ioo ln *,e" lneboK .. k= A^d ln 4.5 6 A loo (tff1+ e b) How long does it take the bacteria to double? / ln*.E, 2 )Do'lo0e\G )- tegE p- )-- e bo v I ln T= lt-IQ L boe (* mi*vls4 ln +.5
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2. (8 points) Evaluate the following limit: & Lr.l -ii l'"( r * :t . lrln ln Xtl eS o H ('-ij Ir x?-) A^a l,'"n X-z e lr'rn x->A t- - llrn >1-t a _ ilrrr x-?A (,*i) (F) I *T I r'"rr 1r.,, L\ x-? e -) I - - - | r+o I \,'r., elnS *-?e 2e 3e 1: H('.+l q -- [i"",. J X-> ac b=f' 'ln 5'- I .t'\ ln[t+ V) ! x l,,Aele-rnt-rtcrV Tow€-Y- I l^(' * f ) T X . l".delen ni,^afu- luotr'u-'ct 5o [Hopilzr-l'sP-rt< dVpliea
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; 5 uu= t*v- lvdn 3. (10 points) EvJuate I e" coslxdx. l^ = Cob ?X'
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This note was uploaded on 04/25/2008 for the course MATH 2B taught by Professor Staff during the Winter '05 term at UC Irvine.

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midterm2+solutions - , 1. (10points) A A freshly...

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