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## Section 4.7 Growth and decay

by: Emmaline Murphy

11

0

2

# Section 4.7 Growth and decay MAC 1140

Marketplace > Florida State University > Mathematics (M) > MAC 1140 > Section 4 7 Growth and decay
Emmaline Murphy
FSU

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4.7 notes for precal
COURSE
Precalculus Algebra
PROF.
David Ekrut
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
precal
KARMA
25 ?

## Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Emmaline Murphy on Tuesday March 1, 2016. The Class Notes belongs to MAC 1140 at Florida State University taught by David Ekrut in Spring 2016. Since its upload, it has received 11 views. For similar materials see Precalculus Algebra in Mathematics (M) at Florida State University.

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Date Created: 03/01/16
L. Sec:rr4.7 GeowrH AND DBcan FORMULA: If Arows ordecays exponentiallthenitsatisftheequation A- Pn o* o ,4rows 'n 0 K7 o ,decays if KLA ? (t) , Yor* th,eple L.P{t):800e0'02'.tehowamanydayswilli,papulati,onaysobeys function the reac1800? (1)_ng A r'rq\- ' '0.08 P&)= Aooeu'u-( = l8o0 h1 -ffi] \''or2 80(] = r,9)n4 <)-1a1- - * '' 0.02 , a 0at , q ttt_ln9 = +++€r : ln 4 '*'o.o2lr.4 ln4 = O O?\ = \nI tv- l^* '')o.olng o.oa ().o 2 o.o J Example L.2.A culture - grows erponent'iIf800 bactera,rer-esei,nitiand,therare2lA0 aft1rt hour,howyllenwi,bepreseni,t?tcultur*fte3hours? Ptc) , ?o*o* t = I {hsar o.rp*#W Po , 1ao kt PCr) = ).1#O P cr): bfr; . \ 24aa erfl*) P(O - fcry , ffiu :: J4#{) EE) -ffi lne,El = ln t3) Fcr). f,cnd-;l:::., [{rl* \n3 , ,/ P(*)'*#tJet?Jti{"\*l rl # SooetnS*= In,tl lL-- ,,,cJ, : Section 2 Example L.3.ad,iI-31i,arad,i,oarnaterithad,ecaaccord'ito(t): Aoe-o'*zt, wherisheinitialoantprzsenandA(t)is tamountpresenat timet(indays)Whati,shhalf-lifeodinI-31? u*- (,) *(r)= As- o fi e=i #*, -0.BBb r r ,, (o) rd) o : i =) lne ,lnlZL. -#r,2 \/ -0.83 I : -0.b3U ln n 3+=E 4,fr'e - a.fr!* Example 1.4.Fi,ntheezponenti,al N(t),th,asati,sthecond:i,ti,ons o.83 If(0):16andI[(6):3. functi,on, N(t) Nor** No= lb = u Ff k+' S), Ibe. N[p)' tJod(n =-fi ; K'-rn , \$id lb T -Frc : I -Tvl+ f,," A NCt), lloe dne {b tn* ' wlc : [n,* 2. LocrsrrMoosl or Gaow:rn K: \fi*B Anthe*oaHofgrowthithelogistic modofgrowthwitcarrying capacity P(t): b>0, c>0 I+ e-u'

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