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MATHEMATICS (Three hours) (Candidates ar allowed additional 15 minutes for only description the paper. They must NOT survive writing during this time.) -------------------------------------------------------------------------------------------------------------------- ingredient A - service Question 1 (compulsory) and five other questions. slit B and Section C - Answer two questions from every Section B or Section C. All working, including rough out work, should be done on the same sheet as, and nigh to, the bide of the answer. The intended tag for questions or parts of questions are given up in brackets [ ]. Mathematical tables and graph document are provided. slew control may be drug abused. --------------------------------------------------------------------------------------------------------------------SECTION A Question 1 (i) (ii) (iii) (iv) If A 3 1 , harness x and y so that A2 + xI2 = yA. 7 5 [10 3] evaluate: tan[2Tan-1(1/5) - / 4] ascend the value(s) of k so that the enclosure 3x 4y + k = 0 is tangent to the hyperbola x2 4y2 = 5. pass judgment: x 1 Lim x 1 log x x 1 (v) [ Evaluate: xe x dx ( x 1) 2 2 (vi) Evaluate 0 2cos x wickedness 2x dx 2(1 sin x) 1 ISC Specimen Question write up 2013 (vii) Deepak rolls two cut and stays a sum much than 9. What is the probability that the number on the first die is still?

(viii) You are given the near two lines of backsliding. Find the regression of Y on X and X on Y and justify your answer: 3x + 4y = 8; 4x + 2y = 10 (ix) (x) If w is the pulley root of unity, then fix the value of (1-3w+w2) (1+w-3w2) Solve: (y + xy)dx + y (1-y2)dy = 0 Question 2 (a) use properties of determinants, prove that: [5] b2 c2 ba ca (b) ab c2 a 2 cb ac bc 2 a b2 4a 2 b 2c2 render matrix method, solve the undermentioned system of linear equations: x 2y 2z 5 = 0; x + 3y + 4 = 0 and 2x + z 4 = 0 [5] Question 3 (a) Verify Rolles theorem for f(x) = ex(sinx cosx) on the interval where derivative vanishes. (b) Find the equation of the parabola whose vertex...If you want to get hold of a full essay, ordinate it on our website: Ordercustompaper.com

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