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GCE JUN 2007 : A2, C3: Core Mathematics 3 (Irish Medium)

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ADVANCED General Certificate of Education 2007 Matamaitic Aonad Meas naithe C3 ag meas n Mod l C3: Cro mhatamaitic 3 [AMC31] D M IRT 5 MEITHEAMH, 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 z an nodaireacht logartamach a s idtear it a dtuigtear go bhfuil ln z log e z AMC3S7 1993 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 s id Riail Simpson le 5 ordan id le meastach n a fh il ar 3 e sin x dx x [6] 1 2 Ag am t soicind i ndiaidh do iom na sliotar a bhualadh beidh fad cothrom nach de x m adar gluaiste aige agus beidh s y m adar os cionn an talaimh an it a bhfuil x = 25t y = 1 + 15t 5t2 (i) Faigh an t-am go mbuaile an sliotar an talamh agus faigh an fad cothrom nach a bheidh gluaiste aige san am seo. [4] (ii) Faigh an chothrom id Chairt iseach do chonair eitilte an tsliotair. 3 [2] In F or 1 anseo th os t sceitse de ghraf feidhme y = f(x) y y = f(x) 3 2 A x F or 1 Ar l ar id ar leith d an sceitse de na graif: (i) y = f(x) + 3 [2] (ii) y = f(2x 1) [2] agus na comhordan id a bheidh ag omh nna pointe A l iri iontu. AMC3S7 1993 2 [Turn over 4 Barr cuarach irse, is f idir samhail a dh anamh de leis an chothrom id y = 2 cos q + 1 2 idir q = p agus q = p mar a thaispe ntar in F or 2 anseo th os. y p p q F or 2 Faigh an t-achar beacht san oscailt. 5 [7] Suime il i leith x: 3 (i) e4x + 6x 2 + 5x3 2x (ii) 2 sec x tan x sin x 1 6 [5] [4] (a) Faigh cothrom id an tadhla don chuar y = ln(x2 + 2x) ag an phointe (1, ln 3) [6] (b) Difre il i leith x ex 1 + tan x AMC3S7 1993 3 [4] [Tiontaigh an leathanach 7 (a) Cruthaigh an t-ionannas 1 sin q + 1 2q 1 + tan cosec q [5] (b) R itigh an chothrom id 2(3 cosec 2q) = 7 cot q an it a bhfuil 0 < q < 360 8 [8] (i) Scr obh x 2 (x + 2)(x + 1) ina ph irtchod in. [6] (ii) Uaidh sin forbair x 2 (x + 2)(x + 1) i gcumhachta m adaitheacha de x, a fhad leis an t arma in x3, tr d an teoirim dh th armach a s id. (iii) Faigh an raon de luachanna x d bhfuil an fhorbairt bail och. S 1/06 0000 7-006-1 [11] [3] [Turn over

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Additional Info : Gce Mathematics June 2007 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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