SULITThe followingformulae maybe helpful in answeringthe questions.commonlyused.ALGEBRA2am.-nm+na xa =clm.n_m-ncl 7a(a*)n = a*nlogumn = loga rn + log"nlog,!=logom*logonnlogumn = nloga mL l=ilr,L Distance=W8.logu b = logt btogca9. \ =a+(n*t)d10,Sn =\lr"+(n-l)dlll.Tn=arn-|12.s n =ry*=tY?. r*l13.s = *, Irl. rCALCULUS4Area under a curve= t'd* or= t*aYVolumeof revolution= foy2dx or: f o12,ttGEOMETRY4. Areaof triangle= |lrr,r, * xzlt * xr!,) * (xrt,+ xrrz+ r,.Y, )i3472/2Thesymbol^s given are the ones-b*l.2.J.4.5.6.7.)v-2.3.v:dvdvdu-i-=u-+V-dx&dx5.dudvv--* - u -"-dxdxudvy=-.3E' v'dxdvdv dudxdu dx?.3.Midpoint(x,y,:(.=-,"?)Divisionof line segmentby a point(n4 + *r2ny1+my2\(x,-),)=l-,-i\ m+nm+n )lrl= 1,2 " yz3472/2 AdditionalMathematics Paper 2SULTTj*kIrtv't/iE.f2.5.6.SULITl.3. o=4.ai=(\u - r)m:L + I t lC\r*)/= 0t-*1ooQo33472nSTATISTICSt7 -LW, I,LW,Q -tt o nl'()J' (n-r)lf!n 4l't\/- --' (n - r)lrtP(AvB)= P(A) + P(B) - P(AnB)P(X: r)= n C , P'Qn*',P*q:7Mean,p= npo -- ln?q--x*lto9l0ll1213t4TRIGONOMETRYl.Arc length, s = r04. seczA=l*lan2A5. cosec 2 A:| + col? AAreaof sector,A: !r202sin:l*cos3l:l8.sin(lxB)= sinl cos Btcosl sin B9. cos(ltB;=cosl cosBT sinl sinBl0 tan (A+Br- tanAttanBlTtanAtanBll tan2A= 3^41*tanzAr,., ubcsin,4sin.B sin C13 az = bz * cz -2bc cosA14 Area of triangle: !ahsin1'22.3.6.7.sin2A = 2sin A cosAcos2A:cos?A -sinzA:2cos2A*l= | - 2sinzA[Lihat halamansebelahSULITZr't/T,J'G- ,)'1,ft:T.f3472t2 AdditianalMathematicsPoper 2j*k347212LULITTHEUPPERTAILPROBABILITY Q(z) FOR THE NORMAL DISTRIBUTTON N(0'l)KEBARANGKALIANHUJIJNGATAS $Z) BAGITABARANNORMA'N(O' I)0 2 I t 6 I 5E 7 9t23456Miaus I Tolok7890.00.r0.20.30.4050.607080.91.0l.lt.2l3t.41.51.61.7I81.9:02ltt?3:.5267.73,Efo3.00.50000A&20.42070.382r0-3.14603085a.27430.34300.31t90l84l0 ItE70.I3570.llsr0.09680.08080.06680.0s480.04460.03590.02tt7a.02280.0179fl.OI 3e0.0t070.&)8?00.006210 004660003470.002560.00r87o 00t350.4960 0.49?0 0.48800.4s620.4522 0.44830.4t680.412e0.40900.3783A3745 A370'l034,09 0.tt720,33360.3050 0.30150.?981027W0.2(t76A.2&30.2389 0.ll5Ea.23270.2090 0.20610.20330 r814017E8 0.1762o.t362 0.1539 0.15150133s O l3l40 12920 Ir3l0.rIr?0.10930.0951 009340.09180 07930.0778 0 07640.0655 0.(x5430.06300 0s37 0 0526 0.05160.0436 00427 004180.035r0.0J440.03360 02810.0274 0.0268002?20.02170.02120.0174 0.0170 0.01660.0t36 0.013? 0.01290.0104 0.01020.009900.007?6 0.007J50.006{t40.005E70.0057000&153000440 0.004270.00336 0.00126 0.003170.00248 0 002400,002330.00r8r0.00175 0.0016eO.ml3l 0.001260.001220.4840 0.4801 0.47610.4443 0.4404 0.,11640.40s20.40130.39740.3669 0 3632 0.35940.3300 0.3264 0.32280 29460.2912 0.28770.261 I0.25?8 0.25460_22960.2266 0.2?360.2005 A.1977A.19490 r?360.l7ll0.16850.1492 0.1469 0.1M60.1271 0.1251 0.12300.t075 0.1056 0.10380 090t0.088s0.08690.0749 0.0735 0.07210 06180.06fti 0.05940.0505 0.0495 0.04E50.04@0.0401 0.03920.0329 0.0322 0.03140.0262 0.0256 0.02500.0207 0,0102 0.ot970.0162 0.0158 0.01540 0 r250.0122 0.01l90,00964 0.009140.007340"00?l40.006950.00551 0.00539 000523o.uxts 0.00402 0003910.00307 0.00298 0.0028e0.00226 0,00219 0.W2t20.00164 0.00159 0.001540.001 t80.00114 0.001ll0.172t0.46810.4325042860.3936 0.389?03s57035200.3'tv20.31560.2843 0.28100.2514 024810.22060.21770.192201E940.r6600.1635o.t4230.14010.12100.11900.1020 0.10030.0853 0.08380.0708 0,06940,05112 0.057ta .04750.04650.0384 0.03750,03070.03010.02,140.02390.0r920.01880 0r500 01460.0rl60.01,30.4flt0.42470.38590.34830.312ro.27760.245t0,?1480. r8670.r6rI0.1i790.11700.r)9850,08230.06810.05590 M550.03670.02940.02330.01830.0t430.0tr00.00866 0,008420.00676 0.00,6570.006390.005080.00494 0.{X)4800,00379 0.0t)36t 0,003s70.00280 0.w272 0.003640.0020t 000199 0.001930.00149 0 00144 0.001190.00t07 0.00104 0.001004848484747375l3635JJ25242423r3t2t2rtllll0l0l0l0l2