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1 ULIT BA0: ENGINEERING MATHEMATIC ECTION A: 5 MARK BAHAGIAN A: 5 MARKAH INTRUCTION : Tis sectio cosists o TWO structured questios. Aswer ONE questio ol. ARAHAN: Bgi ii megdugi DUA sol struktur. Jw ATU sol sj. QUETION OALAN CLO C Te pie crt i te igure elow sows te umer o trees plted t Pk Di s orcrd. Te totl umer o trees re 0. Crt pi dlm rj di w meujukk ilg pokok g ditm dlm dusu Pk Di. Juml semu tg pokok g d il 0. Figure /Rj Accordig to te pie crt: Berdsrk crt pi di ts:
2 ULIT BA0: ENGINEERING MATHEMATIC i. Fid te vlue o. Hitugk ili. [ mrks] [ mrk] ii. How m lgst trees re plted? Berpk ilg pokok lgst g ditm? [ mrks] [ mrk] iii. Clculte te totl d te percetge o two most plted trees t Pk Di orcrd. Dptk juml tg pokok sert pertus gi jeis pokok g plig k ditm di dusu Pk Di. [ mrks] [ mrk] CLO C Tle elow sows widt o te le cm collected studets rom eperimet. Te totl leves collected re 0. Jdul di w meujukk ler du cm g dikumpul dri stu ujikji. Juml du g dikumpulk dl 0 eli. Le widt cm Frequec Tle / Jdul
3 ULIT BA0: ENGINEERING MATHEMATIC Accordig to Tle : Berdsrk Jdul : i. How m leves wit cm widt? Dptk ilg du g mempui ler cm? [ mrks] [ mrk] ii. I te verge widt o te leves is cm, id te percetge o te verge leves size wit verge size. Jik ler du tr dl ersiz seder, erp pertusk ilg du g mempui siz seder terseut? [ mrks] [ mrk] iii. From Tle, drw istogrm. Bi istogrm dripd Jdul dits. [5 mrks] [5 mrk] iv. Drw ogive less t rom tis distriutio. Lukisk ogi kurg dripd gi tur ii. [7 mrks] [7 mrk]
4 ULIT BA0: ENGINEERING MATHEMATIC QUETION OALAN CLO C Te dil slr ered emploees t Mesr Comp re s ollows: Berpduk gji ri gi pekerj di seu rikt Mesr di w: Dil slr RM Frequec o emploees i Determie te me. Hitugk mi. [5 mrks] [5 mrk] ii Preset istogrm d determie te mode usig te istogrm. Lukisk seu istogrm d dptk mod dripd istogrm terseut. [5 mrks] [5 mrk] iii Fid te medi usig te ormul. Dptk medi deg megguk rumus. [5 mrks] [5 mrk] 5
5 ULIT BA0: ENGINEERING MATHEMATIC Te tle sows te distriutio ge o te cotestt i mrto Jdul erikut meujukk tur umur pesert sutu perlum mrto. CLO C Age Frequec Determie te me devitio d te vrice o te dt give. Dptk sisi mi d vris gi dt terseut [0 mrks] [0 mrk] 6
6 ULIT BA0: ENGINEERING MATHEMATIC ECTION B : 75 MARK BAHAGIAN B : 75 MARKAH INTRUCTION: Tis sectio cosists o FOUR sujective questios. Coose THREE questios ol. ARAHAN : Bgi ii megdugi EMPAT sol sujekti. Pili TIGA sol sj. QUETION OALAN CLO C Give equtio, = Dieri stu persm, = i Complete te Tle elow givig te swers to deciml plces. Legkpk jdul di w deg memerik jwp dlm tempt perpulu. [5 mrks] [5 mrk] Tle / Jdul 0 ii Clculte te itegrtio o Give our swer ectl to deciml plces. 0 Kirk pegmir d usig Trpezium Rule. d deg megguk Petu Trpezium. Berik jwp d tept kepd tempt perpulu. [7 mrks] [7 mrk] 7
7 ULIT BA0: ENGINEERING MATHEMATIC CLO C B usig te impso s Rule, estimte d wit te widt o 0.5. Deg megguk Petu impso, ggrk e d utuk ler selg sek 0.5. e [ mrks] [ mrk] 8
8 ULIT BA0: ENGINEERING MATHEMATIC QUETION OALAN CLO C Give 55 d 9 re te t d 8 t term o Aritmetic Progressio. Clculte te irst term. Di eri 55 d 9 dl seut ke- d ke-8 dlm Jjg Aritmetik. Kirk seut pertm. [5 mrks] [5 mrk] CLO C Fid te sum rom twelt to seveteet term o Aritmetic Progressio 5, 8, Dptk sil tm dri seut kedu els igg ketuju els gi Jjg Aritmetik 5, 8,. [6 mrks] [6 mrk] CLO C c Give, + d is te irst tree terms o Geometric Progressio. i. Fid te vlue o positive vlue ol ii. Fid te irst tree terms o te sequece. Dieri, + d dl tig seut pertm dlm Jjg Geometri. i. Dptk ili ili positi sj ii. Dptk tig seut g pertm dlm jjg. [7 mrks] [7 mrk] CLO C d Give te commo rtio o geometric progressio is 0.5. Fid te 7 t term o te sequece i te sum o te irst tree terms is 00. Dieri is sepu stu jjg geometri dl 0.5. Dptk seut ke7 turut itu jik sil tm tig seut pertm dl 00 [7 mrks] [7 mrk] 9
9 ULIT BA0: ENGINEERING MATHEMATIC QUETION 5 OALAN 5 CLO C I A = d B = Jik A = d B = i Fid B A Cri B A [ mrks] [ mrk] ii Fid A + A- B Cri A + A- B [ mrks] [ mrk] iii Fid AB T Cri AB T [ mrks] [ mrk] CLO C olve te lier sstem equtio usig Crmer s rule. elesik sistem persm lier erikut megguk Petu Crmer. c c c [6 mrks] [6 mrk] 0
10 ULIT BA0: ENGINEERING MATHEMATIC QUETION 6 OALAN 6 CLO C Determie te vlue o, d z rom te lier equtio elow usig Doolittle Metod. Tetuk ili gi gi, d z dri persm lier erikut megguk ked pemktor Doolittle. + = z = + z = [6 mrks] [6 mrk] CLO C Fid te root or equtio 5 6 = 0 correct to te deciml plces wit iitil ssumptio o 0 =. 5 usig Bsic Itertio Metod. Dptk ili puc er utuk persm 5 6 = 0 kepd empt tempt perpulu deg di ili o =.5 megguk Ked Lelr Mud. [9 mrks] [9 mrk] OALAN TAMAT
11 ULIT BA0: ENGINEERING MATHEMATIC Descriptive ttistics Me Medi Medi = C F N L m Mode Mode = C d d d L Mo First Qurtile C F N L Q m Tird Qurtile C F N L Q m Decil C F N k L D DK k 0 Percetile C F N k L P PK K 00 Me Devitio E E Vrice s s = l i i s s tdrd Devitio ice s vr
12 ULIT BA0: ENGINEERING MATHEMATIC Are o Irregulr pe Trpezium Rule d d 0... d eve odd d 0 oters d 0 impso s Rule... 0 d umer eve umer odd d d Progressio Aritmetic Progressio d T T T T d d Aritmetic Me T T AM Geometric Progressio r T T T T r r r r r r Geometric Me T T GM
13 ULIT BA0: ENGINEERING MATHEMATIC Mtri Coctor Adjoit C = - i+j M ij Adj A T C Iverse o Mtri A Adj A A Numericl Metod Crout Metod l A l l l l l 0 u 0 u u Doolittle Metod A l l 0 l 0 u u u 0 u u u Colesk Metod T A LL Newto Rpso 0 Metod '
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