2007 IJC Prelims Paper 1 Question

2007 IJC Prelims Paper 1 Question - 2 1 The curve with...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
9740/1/2007 [Turn over 2 1 The curve with equation y = ax 2 + bx + c passes through the points (1, 7), ( - 3, 11) and (5, 99). Find the equation of the curve. [4] 2 Given that 0.4 (10 ) dy yy dx =- and 5 y = when 1 x , find an expression for y in terms of x . [6] 3 Let 1 3 3 ( 9e) x y . (i) Show that 23 d 90 d y x - += . [2] (ii) By further differentiation of this result, or otherwise, find Maclaurin’s series for y up to and including the term in 2 x . [4] (iii) Deduce the equation of the tangent to the curve 1 3 3 ( x y at the point 0 x = . [1] 4 Sketch, on an Argand diagram, the locus of P representing the complex number z where 22 i2 z - += . [2] The point Q representing complex number w is the point on the locus of P such that 4i z + is maximum. Find (i) the exact value of 4i w + , [2] (ii) the value of w in the form x + i y , giving the exact values of x and y . [3] 5 The position vectors of the points A , B , and C are given by i + j + k , 4 i + 3 j + 2 k and –7 i – 2 j k respectively. (i) Prove that the points A , B and C are not collinear. [2] (ii) Find a vector which is perpendicular to the plane ABC . [2] (iii)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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.

Page1 / 4

2007 IJC Prelims Paper 1 Question - 2 1 The curve with...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online