mexv› pappleTS.F. Xavier (ASRy›)Answers to Tutorial 143 March 15, 04Ans. 1. The number in an unshaded square is obtainedby adding the number connected to it from the rowabove, (The “11” in one) Row2 (11) 6 + X, X + 7,Row3 11 + (6 + X) = 17 + x and (6 + x) + (x + 7) = 2X + 13Row4 17 + X + (2X + 3) = 3X + 30 = 60,Æ X = 10Ans. 2. In a non leap year, there are 365 days which is 52 weeks plus one day.In a leap year,there is one extra day or 52 weeks plus 2 days. Jan. 1, 1986 ––>wednesday. Jan.1, 1987 Thursday. Jan. 1, 1998 on Friday & Jan. 1, 1989 onsunday ( since 1988 leap year) Jan. 1. 1990 ––––> Monday Jan. 1, 1991 onTuesday & Jan. 1, 1992 on Wednesday.Ans. 3 Lt x–––>5/2 !2x-5!(X+10)/(2x-5) !2x-5! = 2x - 5 therefore x ≥ 5/2Lt (2x - 5) (x+1)/2x-5 = Lt x––––5/2(x+1)!2x-5! = - (2x - 5) ;x < 5/2Lt -(2x -5) (x + 1)/(2x - 5) = - (x+1)therefore Lt does not existAns. 4. Since Dis the x inter of AD, D = (1,0)Thus D C = 12 --Slope of AD = √3. So AC = 12 √3and 4 [f (x)] 2 - x 2 /f (x) + x2). Two circles of radius 18 1/2(sq. root 18) are tangent to the graph y 2 = 4xat the point (1,2). Find the equation of these two circles.3. A sailor climbs a mast at 0.5m/sec. on a ship travelling North at 12m/sec.while the current flows east at 3 m/sec. What is the speed of the sailor relativeto the ocean floor.4 . A car is 260m North and a truck 170 m west of an intersection. They are bothapproaching the intersection, the car from the north at 80km/h and the truck fromBY. MR. 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Et>wteapplep>∏AvX 2004 ÂDVl> Fiq◊ wpq E‰p>ptel> atq>apple E‰Kuimkz> Ân>pekk>Kidk>applemeŒ ˚u>k>ke˛m> ÂkvRk>Wke al>lˇ Mn>ng>sÒk>Wke aBp>Pivk>k◊m>.ÂkvR: OLKAAR, 73 Flora Dr., Toronto, ON, M1P 1A5, CanadaMn>ng>sl> : tamilvoice@hotmail.com- ol>ke› aimp>Pn›DAxMathChemistryPhysicsAccountingTUTIONCalculusAlgebra/GeometryFinite…b>kz> Pz>izkZn> åT›kelfl>veu>Vq>apple En>WqTeachers:S. Sivakumar, M.Sc (Canada), M.C.S.E., A+S. Sivakumaran, B.Sc (Hon), Dip-in Ed., MA (UK)S. Vinotha, C.G.Aat>TverMÎb>kz>!!From Grade 5 to UniversityCollege: Calculus, Linear Algebra & Geometry, AccountingUniversity: Calculus I & II, Fundamental Mathematicswted›∏kZq>apple: Kumar -(416)282-1421 / (416) 335-5595 /* Maths New Curriculum forGrade 12 Geometry & Discrete Mathemetices,Universict preparation Evq>Œdn> OAC pedb>kz>.kWnDy kl>V aBpvm> wpq>qvrel>fdt>tp>pÎKqˇ. NEILSON / MCLEVINPL. 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