gce-o-level-2008-amaths-4038-paper-2-solutions

gce-o-level-2008-amaths-4038-paper-2-solutions - GCE Add...

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Unformatted text preview: GCE Add Unau Please AD Pap 1. T ( ( ( O Level October itional Mathem thorized copying, e call 93805290 or e DITIONAL MA er 2 Suggeste Topic: Exponentia (i) Given: V =100 When the man value of mo (ii) When t = 12, v 4000 = 1 0.4 = e ln 0.4 = p = V = 1 Sub t = 18 into (iii) Sub v = 1000 in 1000 = 10 0.1 = e-0 ln 0.1 = -0. t = . 30 30 age of moto by ex r/November 2008 atics (4038/0 resale or distribut mail missloi@exam ATHEMATIC d Solutions al Functions 00e- pt bought the motorcy torcycle when boug = 4000: 0000e- p (12)-12 p 12 p ln e . .076358 0000e-0.076358 t (1): Value after 18 nto (1): 000e-0.076358 t 0.076358 t 076358 t ln e . . .2 months months (nearest m rcycle when expec ampaper.com.sg 8 Suggested Solut 2) ion prohibited. paper.com.sg for ex S Oct ycle, t = 0. ht = 10000e = $10000 . (1) months = 10000e 2529.8 $2530 onth) cted value is $1000 Note: V < $ since the e depreciatio V ions xam papers and tuitio 4038 ober/November e -0.076358 (18) (3 s.f.) is 30 months. 1000 when t = 31 mo pt curve describes the n of value over time. t n matters. /02 2008 2. onths, Topic: Quadratic 2 x 2 4 x + 3 = 0 Sum of roots: Product of roots: New sum of roots: 2 New product of roo 2 2 equation with ro x 2 5 x + = 0 4 x 2 20 x + Equations (Sum & a = 2, b = 4, c = 3 2 = 4 = 2 = (2) 2 2 + 4 = 5 ts: = 2 2 = 2 = 2 = + 2 [4 2 ] + = + 2 + 4 = 8 = ots 2 + 2, 2 + 2: 0 33 = 0 x 2 2008 exampape Product of Roots 2 4 4 + 4 2 + 4 + 4 : Sub Useful e Sub 2 (Sum of roots) x + Page 1 o r.com.sg. All rights res s) 2, 2 xpression: 2, (Product of roots) = 0 of 8 served. 0 GCE Add Unau Please 3. T ( ( O Level October itional Mathem thorized copying, e call 93805290 or e Topic: Trigonome (i) tan A + cot A = L.H.S.: (ii) tan A + cot A = From (i): 2 co Basic a 2 A 41.81 , 360 + 4 41.81 , A = 20.9 , by ex r/November 2008 atics (4038/0 resale or distribut mail missloi@exam try (Trigonometri 2 cosec 2 A = = = = = 2 cosec 2 = R.H.S. (P 3 sec 2 A = 3 = 3 sin 2 A = ngle = sin 41.81 180 41.81...
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gce-o-level-2008-amaths-4038-paper-2-solutions - GCE Add...

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