Pra u2 2015 Test

SMK SERI BANDAR PONTIAN

Section A [ 45 marks ]Answer all questions in this section .1. Given that the function is defined as

is continuous at find the values of a and c and correct your answers to 3 decimal places.

[5 marks]2. (a) Find the first derivative of by using differentiation from first principles.

[3 marks] (b) If , find the value of when and

[4 marks]3. Given that find in terms of x and y. Hence, show that when

where is the value when

[7 marks]4. A curve has the following equation Find the coordinates of the turning point of the curve, and determine if it is a maximum or minimum point. Then, sketch this curve.[7 marks]5. The parametric equations of the curve are

, (t > 0)

(a) Express in terms of t.

[3 marks] (b) Find the equation of the tangent to the curve at the point

[3 marks]

6. (a) Show that

EMBED Equation.3 [ Hint: ]

[7 marks] (b) By substituting evaluate

[6 marks]Section B [ 15 marks ]Answer any one question in this section .7. Given that a curve

(a) Show that

[5 marks]

(b) Show that for all values of x.

[3 marks]

(c) Find and .

[2 marks]

(d) Sketch the graph of

[3 marks] (e) Determine the number of roots of the equation if

(i)

(ii)

[2 marks](1 EMBED Equation.3 jam)

PAPER 2

MATHEMATICS T

2015

This question paper consists of 4 printed pages.

954/2

STPM 954/1

*This question paper is CONFIDENTIAL until the examination is over. CONFIDENTIAL*

MAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIAMAJLISPEPERIKSAANMALAYSIA














UJIAN PERTENGAHAN PENGGAL 2

Instructions to candidates:

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

Answer all questions in section A and answer only one question in section B.

Answers may be written in either English or Bahasa Melayu.

All necessary working should be shown clearly.

Non-exact numerical answers may be given correct to three significant figures, or one

decimal place in the case of angles in degrees, unless a different level of accuracy is

specified in the question.

Mathematical tables, a list of mathematical formulae and graph paper are provided.

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Pra u2 2015 Test

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