
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

GCE MAY 2009 : A2, C4 : Core Mathematics 4

4 pages, 14 questions, 0 questions with responses, 0 total responses,

	gce	+Fave Message
	Profile Timeline Uploads Q & A

Home > gce >

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

ADVANCED General Certificate of Education 2009 Mathematics assessing Module C4: Core Mathematics 4 AMC41 Assessment Unit C4 [AMC41] WEDNESDAY 20 MAY, AFTERNOON TIME 1 hour 30 minutes. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number on the Answer Booklet provided. Answer all eight questions. Show clearly the full development of your answers. Answers should be given to three significant figures unless otherwise stated. You are permitted to use a graphic or scientific calculator in this paper. INFORMATION FOR CANDIDATES The total mark for this paper is 75 Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. A copy of the Mathematical Formulae and Tables booklet is provided. Throughout the paper the logarithmic notation used is ln z where it is noted that ln z loge z 4168 Answer all eight questions. Show clearly the full development of your answers. Answers should be given to three significant figures unless otherwise stated. 1 A bowl is formed by rotating through 2p radians about the x-axis, the arc of the curve y = 5x between x = 0 and x = a, where a is a positive constant. The bowl is full of water. Find the volume of water in the bowl. 2 [6] Two points A and B have coordinates (1, 3, 4) and (3, 2, 0) respectively. (i) Find the distance between A and B. (ii) Find the vector equation of the line that passes through A and B. [5] (iii) Show that the point (5, 7, 4) lies on this line. 3 [2] [4] Using the substitution u = 1 + x, find the exact value of 4 0 1 1 x (1 + x ) 2 dx [8] 1 (a) Without using your calculator, find the exact value of tan 2A given that tan A = 7 and that A is acute. [3] (b) Solve the equation 3 cos = sin ( + 30 ) where 0 360 4168 [7] 2 [Turn over 5 The functions f and g are defined as: f : x 3x + 1 x Rx>2 1 g : x x x Rx>0 (i) State the range of f (ii) Find the composite function gf and state its domain and range. 6 [1] [5] (i) Show that d x 1 + = 1 x (1 + x )2 dx [4] (ii) A curve has the equation y x x2 + =0 1+ x 1+ y Find the gradient of the curve at the point (1,1) 7 [6] Given the differential equation dy 3y = dx x + 1 and that x = 1 when y = 16, express y in terms of x 8 [10] Find 2 (i) xe x dx [7] (ii) 4168 sin x dx [7] 0 3 3 938-018-1

Formatting page ...

Additional Info : Gce Mathematics May 2009 Assessment Unit C4 Module C4 : Core Mathematics 4
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

gce chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: