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GCE MAY 2010 : A2, C2: Core Mathematics 2 (Irish Medium)

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ADVANCED ADVANCED SUBSIDIARY (AS) General Certificate of Education 2010 2008 Matamaitic ag meas n Mod l C2: AS Cro mhatamaitic 2 AMC21 AMC21 Aonad Meas naithe C2 [AMC21] D ARDAOIN 27 BEALTAINE, MAIDIN 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 loge z 5213 5213.02 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 (i) Scr obh an ch ad 5 th arma den seicheamh a shainmh n tear ag an ghaol athch rsach un +1 = 2 , an it a bhfuil n > 0 agus u1 = 3 1 + un [3] (ii) Luaigh c acu at an seicheamh ag dibh irsi , ag coinbh irsi agus/n ag ascal . 2 [2] (i) Scr obh l r an chiorcail dar cothrom id x2 + y2 + 4y 21 = 0 agus faigh ga an chiorcail. [4] (ii) Faigh f na an tadhla don chiorcal seo ag an phointe (3, 2). 5213.02 2 [3] [Turn over 3 Is f idir samhail a dh anamh d fh inne cluaise ir mar theasc g ciorcail ar baineadh triant n amach as mar a thaispe ntar in F or 1 anseo th os. F or 1 Is raidian uillinn na teasc ige a gearradh amach as ciorcal dar ga 3 cm. 4 (i) Faigh achar na teasc ige seo. [2] Triant n comhshleasach dar slios 1 cm at ann. T an t- r 0.1 cm ar ti s. (ii) Faigh toirt an ir san fh inne cluaise. 4 [5] Anseo th os t an ch ad, an dara agus an tr t arma i sraith iolra och 5, 3 agus x. (i) Faigh x. [3] (ii) Luaigh cad chuige a bhfuil suim go h igr och ann don tsraith seo. [1] (iii) Faigh suim go h igr och na sraithe seo. [2] 5213.02 3 [Tiontaigh an leathanach 5 (i) Faigh an ch ad cheithre th arma san fhorbairt dh th armach, i gcumhachta ardaitheacha de x, de (1 + 3x)4 [4] Is iad 1 + 12x + 66x2 an ch ad 3 th arma san fhorbairt dh th armach, i gcumhachta ardaitheacha de x, de (1 + x)12 I gc s luach irithe de x, an it a bhfuil x 0, t suim an ch ad 3 th arma san fhorbairt dh th armach de (1 + x)12 cothrom le suim an ch ad cheithre th arma san fhorbairt dh th armach in (i). (ii) Faigh x. 6 [3] (a) Faigh 3 x 3 dx [3] (b) Taispe nann F or 2 anseo th os sceitse den ghraf y = 4x2 x3 nuair at 0 < x < a, an it a bhfuil a > 4 y 0 4 a x F or 2 Ag glacadh leis go bhfuil an t-achar c anna ag an d r igi n sc thaithe, faigh a. 5213.02 4 [8] [Turn over 7 (a) R itigh an chothrom id 3 sin2 x + 8 cos x = 0 nuair at < x < [7] (b) Im onn dh long, C agus D, amach as an chuan ar 0900 a chlog. T long D ag gluaiseacht faoi luas 24 cnota ar threo-uillinn 030 . T long C ag gluaiseacht faoi luas 15 chnota ar threo-uillinn 140 mar a thaispe ntar in F or 3 anseo th os. T Long D 30 Cuan 40 Long C F or 3 [Is ionann 1 chnota agus luas 1 mhuirmh le san uair] Faigh an treo-uillinn agus an fad, ina mhuirmh lte, a bheidh long C long D ar 1200 a chlog. [10] 5213.02 5 [Tiontaigh an leathanach 8 (a) Faigh x ag glacadh leis go bhfuil 32x = 7 [4] log x + log x2 + 2 log x3 = 1 [5] (b) Faigh x ag glacadh leis go bhfuil (c) Ag glacadh leis go bhfuil log2 x log2 y = 6 agus go bhfuil 1 23 = z taispe in go bhfuil y = z2x [6] SEO DEIREADH AN SCR DPH IP IR 5213.02 6 [Turn over 5213.02 [Turn over

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Additional Info : Gce Mathematics May 2010 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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