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GCE MAY 2007 : A2, C2: Core Mathematics 2 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2007 Matamaitic Aonad Meas naithe C2 ag meas n Mod l C2: AS Cro mhatamaitic 2 [AMC21] D ARDAOIN 31 BEALTAINE, 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 AAMC2S7 2009.02 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 Suime il i leith x 4 2x3 + 3 x [4] 2 (i) Sceitse il an cuar y = 2x T an pointe P (b, 0.6) ar an chuar seo. (ii) Faigh b. Is pointe Q an omh de P nuair a chlaochla tear an cuar y = 2x go dt an cuar y = 2 x [2] [4] (iii) Scr obh comhordan id Q. [1] 3 (i) Sceitse il an graf den fheidhm (ii) Uaidh sin scr obh r itigh na cothrom ide f(x) = sin 3x an it a bhfuil 0 < x < 360 agus luaigh peiriad na feidhme seo. [3] sin 3x = 1 an it a bhfuil 0 < x < 360 AAMC2S7 2009.02 [3] 2 [Turn over 4 T ciorcal ann dar cothrom id x2 + y2 16x + ay + 20 = 0 agus is 45 ga an chiorcail. (i) Taispe in go bhfuil a = 2 n a = 2 Nuair at a = 2 is an chothrom id a bheidh ag an chiorcal [3] x2 + y2 16x 2y + 20 = 0 (ii) Scr obh comhordan id l r an chiorcail seo. [2] (iii) T an l ne y = 2x ina tadhla don chiorcal seo agus tadhla onn s leis ag an phointe (b, 2b). Faigh b. [5] 5 In F or 1 anseo th os taispe ntar 3 bh d iascaigh A, B agus C agus iad ina stad. T AB = 400 m, BC = 300 m agus t AC = 600 m. F or 1 (i) Faigh uillinn ABC, agus tabhair do fhreagra ina raidiain. Toisc go bhfuil ceo ann, t an l argas teoranta do 100 m. (ii) Faigh an t-achar taobh istigh den triant n ABC nach bhfuil infheicthe bh d B. AAMC2S7 2009.02 3 [3] [6] [Tiontaigh an leathanach 6 (a) Sainmh n tear seicheamh go hathch rsach le (i) Faigh u2 agus u3 [2] (ii) Ag glacadh leis gur t arma i seicheamh comhbhreise na t arma seo, faigh an 600 t arma ann. [4] (b) Na heatraimh ama t1, t2, t3, . . . idir preaba leantacha liathr ide at ag preabadh ar an talamh, is t arma iad i seicheamh iolra och. An t-eatramh ama t5, is an t-ocht cuid den eatramh ama t2 . (i) Faigh an comhiolraitheoir. Is 6.3 soicind suim na ch ad 6 eatramh ama. (ii) Faigh t1 un = un 1 3 an it a bhfuil u1 = 5 AAMC2S7 2009.02 [4] [3] 4 [Turn over 7 (a) Le riail an traip isiam le 5 ordan id, faigh garluach ar [6] (b) In F or 2 anseo th os taispe ntar an cuar y2 = 4x + 16 Trasna onn an cuar an y-ais ag na point A agus B. y A x B (i) Faigh comhordan id A. [1] (ii) Faigh an t-achar at sc thaithe in F or 2 thuas n suime la x dy, a omh idir teorainneacha cu , a chur san ireamh. [6] 8 (a) R itigh an chothrom id an it a bhfuil 180 < x < 180 (b) R itigh an chothrom id F or 2 AAMC2S7 2009.02 3 tan x + 2 sin x = 0 [7] log3 x log9 2x = 2 [6] 5 SEO DEIREADH AN SCR DPH IP IR AAMC2S7 2009.02 6 [Turn over AAMC2S7 2009.02 7 S 11/05 0000 7-001-1 [Turn over

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Additional Info : Gce Mathematics May 2007 Assessment Unit C2 Module C2 : Core Mathematics 2 (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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