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GCE JUN 2006 : A2, C2: Core Mathematics 2 (Irish Medium)

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ADVANCED SUBSIDIARY (AS) General Certificate of Education 2006 Matamaitic Aonad Meas naithe C2 ag meas n Mod l C2: Cro mhatamaitic AS 2 [AMC21] D ARDAOIN 1 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 IRI 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. AAMC2S6 1572.04 LEATHANACH B N AAMC2S6 1572.04 2 [Turn over 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 4 an ch ad t arma i Sraith Iolra och agus is Faigh: 1 2 an comhiolraitheoir. (i) an c igi t arma sa tsraith; (ii) suim na sraithe go h igr och. 2 [2] [2] (a) Faigh luach 3 x 2 + 3x dx 1 [4] (b) In F or 1 anseo th os taispe ntar an graf de y = 2 + x2 y x F or 1 Agus Riail an Traip isiam le 6 chomhordan id in s id agat, faigh garmheastach n ar an achar idir an cuar y = 2 + x2 an x-ais agus na l nte x = 0 agus x = 5 AAMC2S6 1572.04 [6] 3 [Tiontaigh an leathanach 3 (a) I gc s gach ceann de na seichimh at sainmh nithe anseo th os, faigh amach c acu coinbh irseach n d bh irseach at an seicheamh. (i) un = 2n (ii) un = [2] 1 n+2 [2] (b) Sainmh n tear seicheamh le u1 = a un = 3un 1 + 2 (n = 2, 3, 4 ...) (i) Faigh u2 agus u3 i dt arma a. (ii) Faigh luach a nuair at u2 = u3 4 [3] [2] (i) Faigh l rphointe agus ga an chiorcail dar cothrom id x2 + y2 4x + 6y = 12 (ii) Faigh cothrom id an tadhla don chiorcal seo ag an phointe (6, 0). AAMC2S6 1572.04 4 [3] [5] [Turn over 5 T doras le d anamh do theach nua. Is a bheidh sa doras n teasc g ciorcail agus dh thriant n dhronuilleacha at comhionann lena ch ile mar a thaispe ntar in F or 2 th os. A A B B E E C C F or 2 AB = 2 m D D BD = 1.5 m Faigh [2] > (i) AC, (ii) ACB i raidiain, [2] (iii) iml ne an dorais, [4] (iv) achar an dorais. [4] AAMC2S6 1572.04 5 [Tiontaigh an leathanach 6 T club iascaireachta i ndiaidh l g nua a dhearadh tr d an chuar 1 2 2 y = x(x 4) 2 = 1 x(x 2 a fhrithchaitheamh sa x-ais idir na l nte x = 0 agus x = 6 mar a thaispe ntar in F or 3 th os. y y y= 0 0 4 4 6 6 1 x(x 2 4)2 x x F or 3 (i) Faigh an t-achar ioml n idir an cuar 1 y = x(x 4)22 1 y = 2 x(x 4) 2 agus an x-ais idir x = 0 agus x = 6 [8] (ii) Uaidh sin faigh achar ioml n an l g . [1] AAMC2S6 1572.04 6 [Turn over 7 R itigh na cothrom id cos 2 = 0.7 (i) nuair at 0 < 360 [6] tan = 2 cos (ii) nuair at 0 I 180 8 (i) [8] Faigh luach xy nuair at log2 x + 2 log4 y = 4 [4] (ii) Uaidh sin r itigh na comhchothrom id log2 x + 2 log4 y = 4 agus x + y = 10 AAMC2S6 1572.04 7 [5] [Turn over

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Additional Info : Gce Mathematics June 2006 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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