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GCE JAN 2011 : AS, C1: Core Mathematics 1(Irish Medium)

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Aonad Meas naithe C1 ag meas n Mod l C1: AS Cro mhatamaitic 1 [AMC11] AMC11 Matamaitic *AMC11* ADVANCED SUBSIDIARY (AS) General Certificate of Education January 2011 D LUAIN 10 EAN IR, 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. N l s ceadmhach aon is a s id sa ph ip ar seo le h ireamh a dh anamh. 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. 6055.02 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. N l s ceadmhach aon is a s id sa ph ip ar seo le h ireamh a dh anamh. 1 (i) M t y = 5x + 4x3 faigh dy dx [2] (ii) Uaidh sin, faigh comhordan id na bpoint ar an chuar y = 5x + 4x3 mar a bhfuil an f na cothrom le 8 2 [4] (a) (i) s id Teoirim na bhFacht ir lena thaispe int go bhfuil (x + 3) ina fhacht ir de 2x3 + x2 13x + 6 [2] (ii) Uaidh sin, facht irigh ina ioml ine an slonn 2x3 + x2 13x + 6 [3] (iii) Uaidh sin, r itigh an chothrom id 2x3 + x2 13x + 6 = 0 [3] (b) Nuair a roinntear an slonn f(x) = px4 2x3 4x 6 ar (x 2) gheofar fu lleach a bheidh s huaire chomh m r leis an fhu lleach a gheofar nuair a roinntear ar (x + 1) . Faigh p. 3 Simpligh ina chod n ailg abrach amh in 3 2 x+1 x+4+ x 1 x 1 6055.02 2 [5] [6] 4 Is reanna eitleoige iad na point A, B, C agus D mar a thaispe ntar in F or 1 th os. A B C D F or 1 Is iad (2, 1) comhordan id phointe A agus is iad (4, 5) comhordan id phointe C. Faigh cothrom id an trasn in BD. 5 [6] (a) In F or 2 anseo th os t sceitse de ghraf na feidhme y = f(x). y A 2 x 3 F or 2 Sceitse il an graf de y = f(x + 2) agus lip adaigh go soil ir omh phointe A. (b) Is 12cm2 achar dronuilleoige. Is ( 7 + 2) cm an fad. Faigh leithead na dronuilleoige san fhoirm (a b + c). [2] [5] (c) R itigh an chothrom id 1 3 1 3 x = 2 + 15x 6055.02 3 [6] [Tiontaigh an leathanach 6 Is f idir samhail a dh anamh de l on na mbaict ar b i mias Petri i ndiaidh t uair an chloig leis an chothrom id 64 b = 4t + t + 7 t>0 (i) Faigh l on na mbaict ar i ndiaidh 16 huaire an chloig. (ii) Faigh an r ta athraithe do l on na mbaict ar i ndiaidh t uair an chloig. [3] (iii) Uaidh sin, faigh raon na luachanna de t d bhfuil l on na mbaict ar ag m ad . 7 [1] [3] (i) Faigh comhordan id na bpoint mar a dtrasna onn an cuar y = x(9 x2) an x-ais. [3] (ii) Faigh comhordan id na bpoint casaidh ar an chuar y = 9x x3 agus faigh a gcine l. [9] (iii) Uaidh sin, sceitse il an cuar y = 9x x3 8 [2] T leath n dronuilleogach cairtchl ir x cm ar leithead agus is 48 cm2 an t-achar at ann. Baineann mac l inn cearn ga beaga dar slios 2 cm amach as gach coirn al agus filleann s na sleasa suas le bosca oscailte a dh anamh. Caithfidh toirt an bhosca a bheith n os m n 16 cm3 (i) Taispe in go bhfuil x2 14x + 48 < 0 (ii) Uaidh sin, faigh raon na luachanna a d fh adfadh a bheith ag x. SEO DEIREADH AN SCR DPH IP IR 6055.02 [6] [4]

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Additional Info : Gce Mathematics January 2011 Assessment Unit C1 Module C1:Core Mathematics 1 (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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