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GCE MAY 2010 : A2, C4: Core Mathematics 4 (Irish Medium)

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ADVANCED General Certificate of Education 2010 Matamaitic ag meas n Mod l C4: Cro mhatamaitic 4 AMC41 Aonad Meas naithe C4 [AMC41] D LUAIN 24 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 seacht 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 5189.04 Freagair gach ceann de na seacht 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 OP = 4i + 4j OQ = i + 2j + 3k OR = 8j + 6k na su omh-veicteoir at ag point P, Q agus R. (i) Faigh QP. [2] (ii) Faigh QR. (iii) Taispe in go bhfuil dronuillinn ag Q sa triant n PQR. 2 [1] [3] D antar cruth v sa nuair a rothla tear an t-achar idir an cuar y =3+2 x agus na l nte x = 0 agus x = 4 tr 360 thart ar an x-ais, mar a thaispe ntar in F or 1 th os. y x F or 1 Faigh toirt an v sa. 5189.04 [7] 2 [Turn over 3 (a) Is feidhm aon le haon an fheidhm f(x) = x2 + 4x dar fearann {x: x R, x > a}. Tr d an fheidhm seo a sceitse il, faigh an luach is l at ar a. (b) Is {x: x R, x b} an fearann at ag an fheidhm g ( x ) = [3] 4x x 3 (i) Scr obh luach b. (ii) Faigh an fheidhm inbh artach g 1(x) agus luaigh an fearann aici. [5] (iii) Uaidh sin, scr obh raon g(x). 4 [1] [1] San atmaisf ar, laghda onn an t-aerbhr P (Pascail) leis an airde h (km) os cionn leibh al na farraige ar r ta at i gcomhr ir leis an bhr . (i) D an samhail de seo le cothrom id dhifre lach. [2] Ag leibh al na farraige is 100 000 Pa an t-aerbhr . Ag 1 km os cionn leibh al na farraige is 88 000 Pa an t-aerbhr . (ii) Tr d an chothrom id dhifre lach a r iteach, faigh an t-aerbhr ag 400 m os cionn leibh al na farraige. 5 [8] (a) s id an ionada ocht u = x 2 le 3x dx x 2 a fh il. (b) Faigh luach 4 4x cos 2x dx 0 5189.04 [7] 3 [7] [Tiontaigh an leathanach 6 Sainmh n tear cuar le x = t4 6 y = 2t 2 8t + 6 agus (i) Taispe in go bhfuil dy t 2 =3 dx t [4] (ii) Uaidh sin, faigh comhordan id an phointe casaidh agus luaigh a chine l. 7 [9] (a) Sceitse il an graf de y = sin 1 x Luaigh fearann teoranta na feidhme seo. [3] (b) R itigh an chothrom id sin 2 = cos nuair at [5] (c) Cruthaigh an t-ionannas 1 + tan2 x / sec 2x 1 - tan2 x 5189.04 4 [7] [Turn over

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Additional Info : Gce Mathematics May 2010 Assessment Unit C4 Module C4 : Core Mathematics (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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