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GCE JUN 2007 : A2, C4: Core Mathematics 4 (Irish Medium)

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ADVANCED General Certificate of Education 2007 Matamaitic Aonad Meas naithe C4 ag meas n Mod l C4: Cro mhatamaitic 4 [AMC41] D LUAIN 11 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 idir l ib n 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 Matamaitice agus T bla ar f il. 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 AMC4S7 2169 Freagair gach ceann de na hocht gceist. Taispe in go soil ir forbairt ioml n do fhreagra . Ba ch ir freagra a thabhairt ceart go dt 3 fhigi r bhun sacha mura ndeirtear a mhalairt. 1 Is iad i + 2j + k, 3i + 4j + k agus 3i + 2j + 3k faoi seach na su omh-veicteoir at ag na point A, B agus C. (i) Faigh na veicteoir AB, BC agus AC. Uaidh sin taispe in gur triant n comhshleasach ABC. [6] (ii) Faigh cothrom id veicteoireach na l ne tr d B at comhthreomhar le AC. 3 (i) Sceitse il an graf de y = sin x an it a bhfuil 0 < x < 360 [2] (ii) Uaidh sin sceitse il an graf de y = cosec x an it a bhfuil 0 < x < 360 2 [3] [3] Sainmh n tear cuar ag 3x2 + xy 2y2 = 0 (i) Taispe in go bhfuil [6] (ii) Faigh cothrom id an normal don chuar ag an phointe (2, 3). 1 - 23/3/06GG 2 - 19/7/06EA 4 [4] (i) Scr obh 3 cos q + 4 sin q san fhoirm r cos(q a) an it ar r aduimhir r agus a bhfuil 0 < a < 90 [4] (ii) Uaidh sin r itigh an chothrom id 3 cos q + 4 sin q = 2 an it a bhfuil 0 < q < 360 AMC4S7 2169 [5] 2 [Turn over 5 (a) Cruthaigh go bhfuil [5] (b) Tr d tan 2A a scr obh i dt arma tan A, faigh an luach beacht at ag tan 221 2 6 [6] An voltas V den chadhnra in al ram deataigh, f adtar samhail a dh anamh de le an it arb t an l on laethanta i ndiaidh go suite iltear agus ar tairiseach deimhneach k. Is 9 volta an voltas an ch ad l agus is 4.5 volta an voltas i ndiaidh 30 l . (i) R itigh an chothrom id dhifre lach seo. [7] M th ann voltas an chadhnra faoi bhun 1.5 volta n bheidh an t-al ram deataigh ag feidhmi mar is ceart. (ii) Is ceart cadhnra nua a chur ann i ndiaidh l on irithe de laethanta. C mh ad l ? 7 [2] Sainmh n tear na feidhmeanna f agus g mar [2] (ii) Faigh an fheidhm chomhshuite gf agus luaigh an fearann aici. 1 - 23/3/06GG 2 - 19/7/06EA (i) Luaigh raon f agus raon g. [4] F adtar f agus g a scr obh mar fheidhmeanna comhshuite an it a bhfuil f(x) = uv(x) agus g(x) = vu(x) do gach luach deimhneach de x. (iii) Faigh na feidhmeanna u agus v. AMC4S7 AMC4S7 2169 2169 [3] 3 [Tiontaigh an leathanach 8 (a) Faigh [7] (b) Faigh [6] 1 - 23/3/06GG 2 - 19/7/06EA SEO DEIREADH AN SCR DPH IP IR S 4/05 0000 7-042-1 [Turn over

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Additional Info : Gce Mathematics June 2007 Assessment Unit C4 Module C4 : Core Mathematics 4 (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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