2007 ACJC Prelims MA H2 P1 QP

2007 ACJC Prelims MA H2 P1 QP - ANGLO-CHINESE JUNIOR...

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Anglo-Chinese Junior College H2 Mathematics 9740: 2007 JC 2 Preliminary Examination Paper 1 Page 2 of 6 ANGLO-CHINESE JUNIOR COLLEGE MATHEMATICS DEPARTMENT JC2 Preliminary Examination 2007 MATHEMATICS 9740 Higher 2 Paper 1 Calculator model : _____________________ Arrange your answers in the same numerical order. Place this cover sheet on top of them and tie them together with the string provided. Question no. Marks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 / 100 Index No: Form Class: ___________ Name: _________________________
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Anglo-Chinese Junior College H2 Mathematics 9740: 2007 JC 2 Preliminary Examination Paper 1 Page 3 of 6 1 A cubic curve passes through the points (1,-3), (2,12) and (3,59), and its y -intercept is 4 . Find the equation of the curve. [4] 2 Find the general solution of the differential equation 2 2 sec tan dy xx dx , where 0 2 x  , expressing y in terms of x . [3] 3 Prove by induction that   1 11 5 1 1 5 5 4 5 1 n r n rr     , for all positive integers n . [4] 4 State precisely a sequence of transformations which maps the circle in diagram I onto the ellipse in diagram II. State the equation of the ellipse. [4] 5 Show that the complex number 3 1 i ze  can be expressed as 6 3 i e .
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This note was uploaded on 08/29/2009 for the course MA 9740 taught by Professor Moe during the Summer '07 term at Singapore Management.

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2007 ACJC Prelims MA H2 P1 QP - ANGLO-CHINESE JUNIOR...

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