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GCE JAN 2010 : A2, C3: Core Mathematics 3 (Irish Medium)

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ADVANCED General Certificate of Education January 2010 Matamaitic ag meas n Mod l C3: Cro mhatamaitic 3 AMC31 Aonad Meas naithe C3 [AMC31] D HAOINE 15 EAN IR, IARN IN AM 1 uair 30 n im ad. TREOIR D IARRTH IR Scr obh d Uimhir L rionaid agus d Uimhir Iarrth ra ar an Leabhr n Freagra at leis seo. Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart na freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. T cead agat ireamh n grafach n eola och a s id sa ph ip ar seo. EOLAS D IARRTH IR Is 75 an marc ioml n don ph ip ar seo. L ir onn figi ir ar thaobh na l imhe deise de leathanaigh na marcanna at ag dul do gach ceist n do gach cuid de cheist. T c ip den leabhr n Foirml agus T bla Matamaitice leis seo. S os tr d an ph ip ar seo is ln an nodaireacht logartamach a s idtear it a dtuigtear go bhfuil ln loge 5214.02 Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba cheart freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 (a) Simpligh chomh hioml n agus is f idir x 2 + x 12 x 3 2 2 x 16 x 4x [5] (b) Scr obh 3x + 3 ( x 1)(x + 2) ina ph irtchod in. 2 [6] s id Riail Simpson le 5 chomhordan id le meastach n a fh il ar 4 1 dx 1 + x3 0 3 [6] (a) Faigh an fhorbairt dh th armach de 1 x2 a fhad leis an t arma in x4 agus an t arma sin san ireamh. [6] (b) Faigh na luachanna beachta de x d bhfuil |ln x | = 3 5214.02 2 [5] [ 4 Taispe nann F or 1 anseo th os sceitse de ghraf na feidhme y = f (x). y A 1 2 x 1 1 2 1 F or 1 Ar l ar id leithleacha, sceitse il na graif de: (i) y = f(x + 2); [2] 1 (ii) y = 3f( x) 2 [2] agus marc il omh phointe A go soil ir ar gach sceitse. 5 (a) Difre il (i) (3x2 4)6 [3] ln x x2 1 [4] (ii) (b) Faigh 5 cos 2 x + cosec2 x 2 x d x x 5214.02 3 [5] [Tiontaigh an leathanach 6 Is leis an chothrom id th os a thugtar an teocht, H ceinteagr d, d eilimint t imh i dt itheoir leictreach, t soicind i ndiaidh gur lasadh as H = 10 + 60e kt an it ar tairiseach k. (i) Faigh teocht thosaigh na heiliminte. [2] Glacann an eilimint t imh 30 soicind le 20 C a bhaint amach. (ii) Taispe in go bhfuil k = 0.0597 ceart go dt 3 fhigi r bhun sacha. (iii) Faigh an r ta faoina bhfuil teocht na heiliminte ag athr i ndiaidh 1 n im ad. 7 [4] [4] (a) Cruthaigh an t-ionannas: cosec2 + sec2 ; cosec2 sec2 [6] (b) Faigh luachanna beachta x ag glacadh leis go bhfuil 3 tan2 x 5 sec x + 1 = 0 an it a bhfuil < x < 5214.02 [7] 4 [ 8 Taispe nann F or 2 anseo th os l ar id de chapstan. F or 2 Taispe nann F or 3 anseo th os trasghearradh tr phl na ceartingearach a bhfuil l rphointe an chapstain ann. y L A x F or 3 Is f idir samhail a dh anamh d iml ne an trasghearrtha leis na cothrom id paraim adracha x = 3 1 , sin y = 2 cos (i) Faigh cothrom id Chairt iseach chomhfhreagrach. [4] (ii) Uaidh sin, n ar bhealach eile, faigh comhordan id phointe A mar a dtrasna onn an cuar an x-ais agus scr obh cothrom id asamt it L. [4] SEO DEIREADH AN SCR DPH IP IR 5214.02 5 5214.02

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Additional Info : Gce Mathematics January 2010 Assessment Unit C3 Module C3 : Core Mathematics 3 (Irish Medium)
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

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