Trial TERM 2 MATHEMATICS T 2013

954/2STPM MATHEMATICS (T) (MATEMATIK (T) PAPER 2 (KERTAS 2) One and a half hours (Satu jam setengah) SIJIL TINGGI PERSEKOLAHAN MALAYSIA (MALAYSIA HIGHER SCHOOL CERTIFICATE) Instruction to candidates: DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Answer all questions in Section A and any one question in Section B. Answers may be written in either English or Bahasa Malaysia. All necessary working should be shown clearly. Scientific calculators may be used. Programmable and graphic display calculators are prohibited. A list of mathematical formulae is provided on page of this question paper. Arahan kepada calon: JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU UNTUK BERBUAT DEMIKIAN. Jawab semua soalan dalam Bahagian A dan mana-mana satu soalan dalam Bahagian B. Jawapan boleh ditulis dalam bahasa Inggeris atau Bahasa Malaysia. Semua kerja yang perlu hendaklah ditunjukkan dengan jelas. Kalkulator sainstifik boleh digunakan. Kalkulator boleh atur cara dan kalkulator paparan grafik tidak dibenarkan. Senarai rumus matematik dibekalkan pada halaman dalam kertas soalan ini. © Jabatan Pelajaran Negeri Terengganu STPM 954/2 Page 1 1. The function g is defined by ( ) { a) Find the value of if ( ) exists b) Hence. determine whether g is continuous at [6m] 2. Using Maclaurin’s theorem. Find the gradient if the curve where the x ordinate is 2. indicating clearly its asymptote and [8m] 4. find the value of ∫ Explain why the approximation is greater than its exact value [6m] © Jabatan Pelajaran Negeri Terengganu STPM 954/2 Page 2 . Use the trapezium rule with six ordinates to estimate correct to four decimal places. Use the substitution to find the particular solution of the differential equation when [7m] given that Hence. solve the expansion of standard series [4m] ( ) 6. the value of y when 5. State the range of values of x for which the expansion is valid. [7m] Hence. express up to the term in ( ) as a series to of ascending power of x .Section A [45 marks] Answer all questions in this section. Sketch the graph of the curve turning point. find. Determine the normal equation to the curve such that [7m] 3. ( ) . correct to four decimal places. Section B [15 marks] Answer any one question in this section. Calculate the volume of the solid formed by revolving the region about the axis [5m] 8. determine the possible root of the equation of f (x) [5m] © Jabatan Pelajaran Negeri Terengganu STPM 954/2 Page 3 . The curve the values of a). Determine [5m] Calculate the area of the region bounded by the .Raphson method.axis and the curve [5m] b). find the root correct to the three decimal [4m] [3m] [3m] By using Newton . places (d) is an iterative formula for finding the root of the equation By using . The equation of the curve is given by ( ) (a) (b) (c) Show that f(x) has a root between 0 and 1 Sketch the graph of y = x and y = f(x) on the same axes Show that . ( and ) where has a turning point at the point ( ). 7.