Page 93 - Math Grade 12 (Advance)
P. 93
PROEUS DARA
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1. n. f:Hl.fl211:fl~t~f1Jrun151~~RruHhn~ti~~ru~~f!]HnJ x'ox t~&gu;£Ulf[:jru~o.gntlt15
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Lff115 ff'ltlH~l!i'i§~ y = 2x+ 1 Hfij x'ox 15~6ibilll X= 1 stl X= 3 '1
2. R rul211:fl~ t~ f\1 run151 ~ ~R nn6im~ til~ ru~~ f)] H nJ x' ox &~ &gu;£Ulf[:j ru~ 0-Q t Etlru
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Lff115ff1'WH~l!i'i§~ y = x + 1 HnJ x'ox 15~6ibli5~ x = 0 ~tl x = 3 '1
R. R rul211:fl~ t~ h5 rnn151 ~ 61 R nn6im~ ti ~ B rud~ m H n1 x' ox t ~ tdUn!fn ftj ru ~ rul t Etlru
u n IJ 1 "-' li "' \.J" 5ll
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Lff115 ff'ltlH~l!i'i§~ y = -vx- 3 HnJ x'ox 15~6ibilll X = 4 tm X = 9 '1
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~- l!i rul211:fl~ &~ h5 runm 1nn rulnLfl~ ma ruth m Hn1 x'ox
u n IJ 1 '-" li
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Lff115ff1tlH~l!i'i§~ f(x) = x -2x+3 ~tl g(x) = 9-x '1
3. GtmgH~l!i'i§~ F(x) = [sinrttdt '1 l!irul21
1 1
n. F(-1) ~- F'(O) lli. F"(x) '1
4. &gu;£Ul A ~ru;JtErlli5Lff115ff1tlH~l!i'i§~ g(t) = 4-? stlHnJHltl~fdtrnm~g [1, x]
Rrul6itttlli5 A(x) = ~ ( 4-? )dt '1
C'"':J C» ct c:» Ql
- l!irul21 A dlH~l!i'i§~t~ x '1 tnUff115ff1tlH~l!i'i§~ A 'i:fl~fd"effl~Hlfd'i§tlntEjfi15W ?
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5. R rul21 F'(x) tU
2 3
n. F(x) = [+ (4t + 1 )dt ~- F(x) = r dt
t
X -X
2 1
R. F(x) = (nx /tdt lli. F(x) = Jx 2 dx
2 t
3 1
ti. F(x) = r
-dt '1
tl. F(x) = J: sintdt sinx 2 + t
6. n. 15~(!Jtfl&U f(t) dlH~l!i'i§Sthlfd t~·H F(x) = [f(t)dt Ll=iU xeiR dlH~l!i'e~
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7. Hnt0lg~fd~fdn!fnm~ggru~firuti1n!fm6i13~~ 1200 tfttlrmbo tG'i§tl '1 fd~fdn!fmn1
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m ~ rur\15 ~ 2J~ n rur\ nru t EtlruHLmto ~ s tl x m &~ 15 ~uti~ fi ruti'{!1'!3n Ej ru ttfi rum1J
88