Page 113 - Math Grade 12 (Advance)

PROEUS DARA

n. &L:ll runs Stnrhn1'!:fls N(t) tsi tint! t ttfi rutRStnS 10% ntl I tint!
w ~
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tSl&'BtiJ£HiltiJ'Bf'iUSSQlrhn1'!:fls N(t+ 1) = N(t)+J!}_N(t)
w L..; w 100
~msg N(t+ 1)-N(t) = 0.1N(t) '1

2. tL:iltU N'(t) = lim N(l + 1) Njt)
t--?0 t+1-t
N'(t) = O.IN(t) dlM~fil~~trHiHMJb15

~~ = O.JN sl2j d: = O.Idt

lniNI = 0.1t + c

0
N(t) = Ae .It
tL:llru N(O) = N = 10 4 r;::ng
0
10 = AeO.I(OJ s12J A = 10 4
4
4 0
N(t) = 10 e .Ir
4 0 3
t = 3 : N(3) = 10 e · = 13498 tnrhn1 '1
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r:s-um~stl99rutnSHUfflFn~UtnRM'i:flM 10% ntl 1m '1 t~r.n~ggrumsumRmtlnH
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n~:n.ns9numnntlmt::nHi - = - s
"f ~ dt 1 00
d5r:sitt1rut::n&tl=lut~"B'9nLtnR d t9Jn r:::ngRtruisLtnrhsitrlrut::n&~
ddSt = 0.1 S + d 'li dS- 0.1 S = d
"" dt
108