INSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions.

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "INSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions."

Transcription

1 DBM0: ENGINEERING MATHEMATICS SECTION A : 7 MARKS BAHAGIAN A : 7 MARKAH INSTRUCTION: This section consists of THREE () structured questions. Answer ALL questions. ARAHAN : Bahagian ini mengandungi TIGA () soalan berstruktur. Jawab SEMUA soalan. QUESTION SOALAN CLO C a) Simplify the following expressions to the lowest term. Permudahkan ungkapan berikut kepada sebutan terendah. i. xyz 8xy a 0ab [ marks] [ markah] c d e ii. e c d [ marks] [ markah] iii. a a a a [ marks] [ markah]

2 DBM0: ENGINEERING MATHEMATICS CLO C b) Solve the following quadratic equations. Selesaikan persamaan kuadratik berikut. i. x 8x (By using the quadratic formula.) [6 marks] [6 markah] ii. x x 0 (By using the completing the square.) [9 marks] [9 markah]

3 DBM0: ENGINEERING MATHEMATICS QUESTION SOALAN a) State the order of matrix and form the transposition of matrix P and Q: 0 9, Q P Nyatakan peringkat bagi matrik dan dapatkan tansposisi bagi matrik P dan Q: 0 9, Q P [ marks] [ markah] CLO C

4 DBM0: ENGINEERING MATHEMATICS b) Given matrix, Di beri matrik, find: cari: i) A [ marks] [markah] ii) (A + B) [ marks] [ markah] ii) B T A [ marks] [ markah] iii) CD [ marks] [ markah] 0 8 7, 0, D and C B A CLO C and, 0, D C B A

5 DBM0: ENGINEERING MATHEMATICS CLO C c) Solve the following equation by using the inverse matrix method. Selesaikan persamaan berikut dengan menggunakan kaedah matrix songsang. x y z 9 x y z x 6y z 0 [ marks] [ markah] 6

6 DBM0: ENGINEERING MATHEMATICS QUESTION SOALAN CLO C (a) Given that ~ p i 9 j and q~ i j, find each of the following vector. Diberi ~ p i 9 j dan q~ i j, dapatkan vektor bagi setiap yang berikut. i. ~ p q ~ [ marks] [markah] ii. q ~ ~ p [ marks] [markah] CLO C CLO C (b) Given that vector OP is and vector OQ is. Find: 6 Diberikan bahawa vektor OP ialah dan vector OQ ialah. Dapatkan: 6 i) OPOQ [ marks] [ markah] ii) OP OQ [ marks] [ markah] (c) Calculate the angle between the vectors i + j k and i j + k. Kirakan sudut antara vektor i + j k dan i j + k. [ marks] [ markah] 7

7 DBM0: ENGINEERING MATHEMATICS (d) Given, vectors OC = i j -k, OD = i j k and OE = i j + k. Calculate: Diberi vector OC = i j -k, OD = i j k dan OE = i j + k. Kirakan: CD DE [7 marks] [7 markah] ( e ) Given vectors OM = (,, ) and ON = (0,, 7). Find unit vector in the direction of MN. : Diberi vector OM = (,, ) dan ON = (0,, 7). Dapatkan unit vector bagi arah MN. : [ marks] [ markah] 8

8 DBM0: ENGINEERING MATHEMATICS SECTION B: MARKS BAHAGIAN B: MARKAH INSTRUCTION: This section consists of THREE () structured questions. Answer ONE () question only. ARAHAN: Bahagian ini mengandungi TIGA () soalan berstruktur. Jawab SATU () soalan sahaja. QUESTION SOALAN a) Express each of the following in partial fractions. Nyatakan pecahan yang berikut kepada pecahan separa. CLO C x 7 x x [ marks] [ markah] b) Solve the following partial fractions: Selesaikan pecahan separa berikut: CLO C i. 8x 0 x [6 marks] [6 markah] ii. x x x [7 marks] [7 markah] iii. x x 7x x 0 [8 marks] [8 markah] 9

9 DBM0: ENGINEERING MATHEMATICS QUESTION SOALAN CLO C a) Find all the angle for the trigonometric equation below for the range 0 x 60. Cari semua sudut untuk persamaan trigonometri di bawah bagi julat 0 x 60. i. cos x sin x 0 ii. cos x cot x [ marks] [ markah] [ marks] [ markah] CLO C b) Prove each of the following trigonometric identities. (Use the equation on the right to prove the identity of the equation on the left). Buktikan setiap identiti trigonometri berikut. (Gunakan persamaan di sebelah kanan untuk membuktikan identity persamaan di sebelah kiri ). i. cot A tan A cot A [ marks] [ markah] ii. sin sin A B cos A cos B sin A B sin B [ marks] [ markah] iii. cosec A cot A tan Acos A [ marks] [ markah] 0

10 DBM0: ENGINEERING MATHEMATICS QUESTION 6 SOALAN 6 CLO C a) Given x = + i, w = + i and z = 6i. Express each of the following in the form of a + bi Diberi persamaan x = + i, w = + i dan z = 6i. Ungkapkan persamaan berikut dalam bentuk a + bi i. x + w [ marks] [ markah] ii. iii. x w x z [ marks] [ markah] [ marks] [ markah] CLO C b) Given J = i, K = + i. Find the modulus, the argument and sketch the Argand s diagram for : Diberi J = i, K = + i. Dapatkan modulus, hujah dan lakarkan gambarajah Argand s bagi: i. J ii. J K [6 marks] [6 markah] [9 marks] [9 markah] SOALAN TAMAT

11 DBM0: ENGINEERING MATHEMATICS FORMULA QUADRATIC EQUATION X = b ± b ac a (x + b ) ( b ) + c = 0 FORMULA OF TRIANGLE a Sine Rules ; sina = b sinb = c sinc Cosine Rules; a = b + c bc cosa Area of Triangle = ab sinc MATRIX Cofactor, C = ( )(i + j)m ij Adjoin, Adj(A) = C T Inverse of Matrix, A = A Adj(A) COMPLEX NUMBER Modulus of z = a + b Argument of z = tan ( b a ) Cartesian Form ; z = a + bi Polar Form ; z = r θ Exponential Form ; z = re iθ TRIGONOMETRY Pythagoras Theorem c a ɵ b c = a + b Trigonometry Identities tanθ = sinθ cosθ cos θ + sin θ = + tan θ = sec θ + cot θ = cosec θ VECTOR & SCALAR Unit Vector, u = u u A B = a a + b b + c c i j k A B = a b c a b c Area of parallellogram ABC = AB bc COMPOUND-ANGLE DOUBLE-ANGLE sin(a ± B) = sinacosb ± cosasinb cos(a ± B) = cosacosb sinasinb tan(a ± B) = tana ± tanb tanatanb sina = sinacosa cosa = cos A sin A = sin A = cos A tana = tana tan A

12 DBM0: ENGINEERING MATHEMATICS

INSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions. SECTION A : 75 MARKS BAHAGIAN A : 75 MARKAH INSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi TIGA (3) soalan berstruktur. Jawab

More information

SULIT BA601: ENGINEERING MATHEMATICS 5

SULIT BA601: ENGINEERING MATHEMATICS 5 SECTION A BAHAGIAN A INSTRUCTION: This section consists of TWO () questions with 5 marks each. Answer ONE (1) question from each part, and ONE (1) remaining question from either part A/B/C ARAHAN : Bahagian

More information

EE602 : CIRCUIT ANALYSIS

EE602 : CIRCUIT ANALYSIS SECTION A : 40 MARKS BAHAGIAN A : 40 MARKAH INSTRUCTION: This section consists of TEN (10) structured questions. Answer ALL questions. ARAHAN : Bahagian ini mengandungi SEPULUH (10) soalan berstruktur.

More information

[Lihat sebelah 50/2 SULIT

[Lihat sebelah 50/2 SULIT SULIT 5 50/ For Examiner s Use [Lihat sebelah 50/ SULIT For examiner s use SULIT 6 50/ Answer all questions. Jawab semua soalan. 1 Calculate the value of 15 4. Hitung nilai bagi 15 4. [ marks] [ markah]

More information

Answer all questions Jawab semua soalan [80 marks] [80 markah] f(x)

Answer all questions Jawab semua soalan [80 marks] [80 markah] f(x) 1 Diagram 1 shows the linear functions f. Rajah 1 menunjukkan fungsi linear f. Answer all questions Jawab semua soalan [80 marks] [80 markah] x 7 7 Set P f(x) 9 9 Set Q Diagram 1 Rajah 1 1 2 (a) State

More information

INSTRUCTION: This section consists of TEN (10) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of TEN (10) structured questions. Answer ALL questions. SECTION B : 30 MARKS BAHAGIAN B : 30 MARKAH INSTRUCTION: This section consists of TEN (10) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi SEPULUH (10) soalan berstruktur.

More information

INSTRUCTION: This section consists of FOUR (4) structured questions. Answer TWO (2) questions. only.

INSTRUCTION: This section consists of FOUR (4) structured questions. Answer TWO (2) questions. only. DBM 303: ELECTRICAL ENGINEERING MATHEMATICS SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of FOUR (4) structured questions. Answer TWO () questions. only. ARAHAN : Bahagian

More information

INSTRUCTION: This section consists of FIVE (5) structured questions. Answer FOUR (4) questions only.

INSTRUCTION: This section consists of FIVE (5) structured questions. Answer FOUR (4) questions only. DBM10: MTHEMTICS FOR COMPUTING SECTION : 100 MRKS BHGIN : 100 MRKH INSTRUCTION: This section consists of FIVE (5) structured questions. nswer FOUR (4) questions only. RHN : Bahagian ini mengandungi LIM

More information

MAT 518 Numerical Methods for Differential Equations [Kaedah Berangka untuk Persamaan Pembezaan]

MAT 518 Numerical Methods for Differential Equations [Kaedah Berangka untuk Persamaan Pembezaan] UNIVERSII SAINS MALAYSIA First Semester Examination 0/03 Academic Session January 03 MA 58 Numerical Methods for Differential Equations [Kaedah Berangka untuk Persamaan Pembezaan] Duration : 3 hours [Masa

More information

Figure A1(a)/Rajah A1(a)

Figure A1(a)/Rajah A1(a) SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL the questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan berstruktur. Jawab

More information

(Kertas soalan ini mengandungi 4 soalan dalam 6 halaman yang dicetak) (This question paper consists of 4 questions on 6 printed pages)

(Kertas soalan ini mengandungi 4 soalan dalam 6 halaman yang dicetak) (This question paper consists of 4 questions on 6 printed pages) UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 009/010 : SEMESTER ACADEMIC SESSION 009/010 : SEMESTER SCES1101

More information

INSTRUCTION: This section consists of TWO (2) essay questions. Answer ALL questions.

INSTRUCTION: This section consists of TWO (2) essay questions. Answer ALL questions. SECTION A : 50 MARKS BAHAGIAN A : 50 MARKAH INSTRUCTION: This section consists of TWO (2) essay questions. Answer ALL questions. ARAHAN : Bahagian ini mengandungi DUA (2) soalan esei. Jawab semua soalan.

More information

MAT111 Linear Algebra [Aljabar Linear]

MAT111 Linear Algebra [Aljabar Linear] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2016/2017 Academic Session June 2017 MAT111 Linear Algebra [Aljabar Linear] Duration : 3 hours [Masa : 3 jam] Please check that this examination paper

More information

EME 411 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera]

EME 411 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera] -1- [EMH 451/3] UNIVERSITI SAINS MALAYSIA First Semester Examination 2014/2015Academic Session December 2014 / January 2015 EME 411 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera] Duration

More information

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL the questions.

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL the questions. DC063 : MECHANICS OF CIVIL ENGINEERING STRUCTURES SECTION A : 50 MARKS BAHAGIAN A : 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL the questions. ARAHAN: Bahagian

More information

(Kertas soalan ini mengandungi 5 soalan dalam 8 halaman yang bercetak) (This question paper consists of 5 questions on 8 printed pages)

(Kertas soalan ini mengandungi 5 soalan dalam 8 halaman yang bercetak) (This question paper consists of 5 questions on 8 printed pages) UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2016/2017 ACADEMIC SESSION 2016/2017 : SEMESTER I : SEMESTER

More information

INSTRUCTION: This section consists of FOUR (4) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of FOUR (4) structured questions. Answer ALL questions. SECTION B: 60 MARKS BAHAGIAN B: 60 MARKAH INSTRUCTION: This section consists of FOUR (4) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi EMPAT (4) soalan berstruktur. Jawab

More information

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan berstruktur.jawab SEMUA

More information

UNIVERSITI SAINS MALAYSIA. CPT115 Mathematical Methods for Computer Science [Kaedah Matematik bagi Sains Komputer]

UNIVERSITI SAINS MALAYSIA. CPT115 Mathematical Methods for Computer Science [Kaedah Matematik bagi Sains Komputer] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2014/2015 Academic Session June 2015 CPT115 Mathematical Methods for Computer Science [Kaedah Matematik bagi Sains Komputer] Duration : 2 hours [Masa:

More information

This paper consists of SIX (6) structured questions. Answer any FOUR (4) questions.

This paper consists of SIX (6) structured questions. Answer any FOUR (4) questions. INSTRUCTIONS: This paper consists of SIX (6) structured questions. Answer any FOUR (4) questions. ARAHAN: Kertas ini mengandungi ENAM (6) soalan struktur. Jawab mana-mana EMPAT (4) soalan sahaja QUESTION

More information

EEE 208 TEORI LITAR II

EEE 208 TEORI LITAR II UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Pertama Sidang Akademik 2010/2011 November 2010 EEE 208 TEORI LITAR II Masa : 3 jam ARAHAN KEPADA CALON: Sila pastikan bahawa kertas peperiksaan ini mengandungi

More information

Arahan : Jawab semua soalan. Instructions: Answer all questions.

Arahan : Jawab semua soalan. Instructions: Answer all questions. . Arahan : Jawab semua soalan. Instructions: Answer all questions. 1 In Diagram 1, set B shows the images of certain elements of set A. State the type of relation between set A and set B. Using the function

More information

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER / Trigonometry

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER / Trigonometry ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH0000 SEMESTER 1 017/018 DR. ANTHONY BROWN 5. Trigonometry 5.1. Parity and Co-Function Identities. In Section 4.6 of Chapter 4 we looked

More information

MGM 531 Euclidean Geometry [Geometri Euklidan]

MGM 531 Euclidean Geometry [Geometri Euklidan] UNIVERSITI SINS MLYSI First Semester Examination cademic Session 2015/2016 January 2016 MGM 531 Euclidean Geometry [Geometri Euklidan] Duration : 3 hours [Masa : 3 jam] Please check that this examination

More information

Explain the differences between Geographical Information System (GIS) and other information system as the following:

Explain the differences between Geographical Information System (GIS) and other information system as the following: SECTION A : 50 MARKS BAHAGIAN A : 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan struktur. Jawab SEMUA

More information

MAT 223 DIFFERENTIAL EQUATIONS I [Persamaan Pembezaan I]

MAT 223 DIFFERENTIAL EQUATIONS I [Persamaan Pembezaan I] UNIVERSITI SAINS MALAYSIA First Semester Examination 2015/2016 Academic Session December 2015/January2016 MAT 223 DIFFERENTIAL EQUATIONS I [Persamaan Pembezaan I] Duration : 3 hours [Masa : 3 jam] Please

More information

MULTIMEDIA COLLEGE JALAN GURNEY KIRI KUALA LUMPUR

MULTIMEDIA COLLEGE JALAN GURNEY KIRI KUALA LUMPUR MULTIMEDIA COLLEGE JALAN GURNEY KIRI 54100 KUALA LUMPUR FOURTH & FIFTH SEMESTER EXAMINATION, 011 SESSION DDMWW-E-F-/10, DTEW-E-F-/10, DMWW-E-F-1/10, DTEW-E-F-1/10, DTEA-E-F-/10, DTEA-E-F-1/10, DTEQ-E-F-/10,

More information

CPT115 Mathematical Methods for Computer Sciences [Kaedah Matematik bagi Sains Komputer]

CPT115 Mathematical Methods for Computer Sciences [Kaedah Matematik bagi Sains Komputer] Second Semester Examination 6/7 Academic Session June 7 CPT Mathematical Methods for Computer Sciences [Kaedah Matematik bagi Sains Komputer] Duration : hours [Masa : jam] INSTRUCTIONS TO CANDIDATE: [ARAHAN

More information

FIRST SEMESTER DIPLOMA EXAMINATION IN ENGINEERING/ TECHNOLIGY- OCTOBER, TECHNICAL MATHEMATICS- I (Common Except DCP and CABM)

FIRST SEMESTER DIPLOMA EXAMINATION IN ENGINEERING/ TECHNOLIGY- OCTOBER, TECHNICAL MATHEMATICS- I (Common Except DCP and CABM) TED (10)-1002 (REVISION-2010) Reg. No.. Signature. FIRST SEMESTER DIPLOMA EXAMINATION IN ENGINEERING/ TECHNOLIGY- OCTOBER, 2010 TECHNICAL MATHEMATICS- I (Common Except DCP and CABM) (Maximum marks: 100)

More information

MAT 111 Linear Algebra [Aljabar Linear]

MAT 111 Linear Algebra [Aljabar Linear] UNIVERSITI SAINS MALAYSIA Second Semester Examination 0/0 Academic Session June 0 MAT Linear Algebra [Aljabar Linear] Duration : hours [Masa : jam] Please check that this examination paper consists of

More information

MAA Calculus for Science Students I [Kalkulus untuk Pelajar Sains I]

MAA Calculus for Science Students I [Kalkulus untuk Pelajar Sains I] UNIVERSITI SAINS MALAYSIA First Semester Eamination Academic Session 6/7 December 6 / January 7 MAA - Calculus for Science Students I [Kalkulus untuk Pelajar Sains I] Duration : 3 hours [Masa : 3 jam]

More information

PEPERIKSAAN PERCUBAAN SPM 2014 ADDITIONAL MATHEMATICS

PEPERIKSAAN PERCUBAAN SPM 2014 ADDITIONAL MATHEMATICS Name : 0 Form :. SMKA NAIM LILBANAT 550 KOTA BHARU KELANTAN. SEKOLAH BERPRESTASI TINGGI PEPERIKSAAN PERCUBAAN SPM 0 ADDITIONAL MATHEMATICS Kertas Jam 7/ Jam Arahan:. Kertas soalan ini mengandungi 5 Soalan..

More information

INSTRUCTION: This section consists of TEN (10) structure questions. Answer ALL questions.

INSTRUCTION: This section consists of TEN (10) structure questions. Answer ALL questions. SECTION A : 40 MARKS BAHAGIAN A : 40 MARKAH INSTRUCTION: This section consists of TEN (10) structure questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi SEPULUH (10) soalan struktur. Jawab

More information

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

SULIT 5 7/ Answer all questions. Jawab semua soalan. The following information refers to the sets P and Q. Mak lumat berik ut adalah berk aitan dengan set P dan set Q. P {, 5, 7} Q {5, 7, 8, 0, } Based

More information

Paper Percubaan Addmath Kelantan 009 Answer all questions. Jawab semua soalan. Diagram shows the relation between set A and set B. Rajah menunjukkan hubungan antara set A dan set B. Set B ( h, 9) (, 9)

More information

SULIT /1. Answer all questions. Jawab semua soalan.

SULIT /1. Answer all questions. Jawab semua soalan. SULIT 5 7/1 Answer all questions. Jawab semua soalan. 1 Diagram 1 shows the relation between Set R and Set S. Rajah 1 menunjukkan hubungan antara Set R dan Set S. Set S 0 16 1 6 8 Diagram 1 / Rajah 1 Set

More information

MST 565 Linear Model [Model Linear]

MST 565 Linear Model [Model Linear] UNIVERSITI SINS MLYSI Second Semester Examination 009/00 cademic Session pril/may 00 MST 565 Linear Model [Model Linear] Duration : 3 hours [Masa : 3 jam] Please check that this examination paper consists

More information

Contact hour per week: 04 Contact hour per Semester: 64 ALGEBRA 1 DETERMINANTS 2 2 MATRICES 4 3 BINOMIAL THEOREM 3 4 LOGARITHMS 2 5 VECTOR ALGEBRA 6

Contact hour per week: 04 Contact hour per Semester: 64 ALGEBRA 1 DETERMINANTS 2 2 MATRICES 4 3 BINOMIAL THEOREM 3 4 LOGARITHMS 2 5 VECTOR ALGEBRA 6 BOARD OF TECHNICAL EXAMINATION KARNATAKA SUBJECT: APPLIED MATHEMATICS I For I- semester DIPLOMA COURSES OF ALL BRANCHES Contact hour per week: 04 Contact hour per Semester: 64 UNIT NO. CHAPTER TITLE CONTACT

More information

2 Trigonometric functions

2 Trigonometric functions Theodore Voronov. Mathematics 1G1. Autumn 014 Trigonometric functions Trigonometry provides methods to relate angles and lengths but the functions we define have many other applications in mathematics..1

More information

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions ARAHAN: Bahagian ini mengandungi DUA (2) soalan berstruktur. Jawab SEMUA

More information

SULIT 3472/1 MAJLIS PENGETUA SEKOLAH-SEKOLAH MALAYSIA (MPSM) CAWANGAN KELANTAN PEPERIKSAAN PERCUBAAN SPM TINGKATAN LIMA

SULIT 3472/1 MAJLIS PENGETUA SEKOLAH-SEKOLAH MALAYSIA (MPSM) CAWANGAN KELANTAN PEPERIKSAAN PERCUBAAN SPM TINGKATAN LIMA SULIT 7/ Nama:.... 7/ Matematik Tambahan Kertas September 0 Jam Tingkatan:.... MAJLIS PENGETUA SEKOLAH-SEKOLAH MALAYSIA (MPSM) CAWANGAN KELANTAN PEPERIKSAAN PERCUBAAN SPM TINGKATAN LIMA 0 MATEMATIK TAMBAHAN

More information

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. SECTION A : 50 MARKS BAHAGIAN A : 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi DUA(2) soalan berstruktur. Jawab semua

More information

SULIT 3472/1. Answer all questions. Jawab semua soalan.

SULIT 3472/1. Answer all questions. Jawab semua soalan. 7/ Answer all questions. Jawab semua soalan. y p - k Diagram / Rajah Diagram shows the graph of the function g() = +, for the domain. Rajah menunjukkan graf bagi fungsi g() = +, untuk domain. State / Nyatakan

More information

MAA 101 Calculus for Science Students I [Kalkulus untuk Pelajar Sains I]

MAA 101 Calculus for Science Students I [Kalkulus untuk Pelajar Sains I] UNIVERSITI SAINS MALAYSIA Peperiksaan Kursus Semasa Cuti Panjang Sidang Akademik 9/ Jun MAA Calculus for Science Students I [Kalkulus untuk Pelajar Sains I] Duration : 3 hours [Masa : 3 jam] Please check

More information

SULIT 3472/1. Nama:.. Tingkatan: 3472/1 NO. KAD PENGENALAN Matematik Tambahan PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 2009

SULIT 3472/1. Nama:.. Tingkatan: 3472/1 NO. KAD PENGENALAN Matematik Tambahan PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 2009 SULIT 347/1 Nama:.. Tingkatan: 347/1 NO. KAD PENGENALAN Matematik Tambahan Kertas 1 ANGKA GILIRAN 009 September jam JABATAN PELAJARAN SELANGOR PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 009 MATEMATIK

More information

MAT 111 Linear Algebra [Aljabar Linear]

MAT 111 Linear Algebra [Aljabar Linear] UNIVERSITI SAINS MALAYSIA Second Semester Examination 00/0 Academic Session November 00 MAT Linear Algebra [Aljabar Linear] Duration : hours [Masa : jam] Please check that this examination paper consists

More information

Core Mathematics 3 Trigonometry

Core Mathematics 3 Trigonometry Edexcel past paper questions Core Mathematics 3 Trigonometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Maths 3 Trigonometry Page 1 C3 Trigonometry In C you were introduced to radian measure

More information

Matematik Tambahan Kertas September JABATAN PELAJARAN SELANGOR 009 1 jam PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 009 ` MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit JANGAN BUKA KERTAS SOALAN

More information

UNIVERSITI SAINS MALAYSIA EEE 354 SISTEM KAWALAN DIGIT

UNIVERSITI SAINS MALAYSIA EEE 354 SISTEM KAWALAN DIGIT UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Kedua Sidang Akademik 2010/2011 April/Mei 2011 EEE 354 SISTEM KAWALAN DIGIT Masa : 3 Jam Sila pastikan bahawa kertas peperiksaan ini mengandungi SEPULUH muka

More information

Part r A A A 1 Mark Part r B B B 2 Marks Mark P t ar t t C C 5 Mar M ks Part r E 4 Marks Mark Tot To a t l

Part r A A A 1 Mark Part r B B B 2 Marks Mark P t ar t t C C 5 Mar M ks Part r E 4 Marks Mark Tot To a t l Part Part P t Part Part Total A B C E 1 Mark 2 Marks 5 Marks M k 4 Marks CIRCLES 12 Marks approximately Definition ; A circle is defined as the locus of a point which moves such that its distance from

More information

UNIVERSITI SAINS MALAYSIA

UNIVERSITI SAINS MALAYSIA -1- [EUM 114/3] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2015/2016 Academic Session June 2016 EUM 114/3 KALKULUS KEJURUTERAAN LANJUTAN [ADVANED ENGINEERING ALULUS] Duration : 3 hours [Masa

More information

(Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages)

(Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages) UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE SESI AKADEMIK 2015/2016 : SEMESTER 2 ACADEMIC SESSION 2015/2016 : SEMESTER

More information

SULIT /1. Answer all questions. Jawab semua soalan.

SULIT /1. Answer all questions. Jawab semua soalan. SULIT 5 7/ Answer all questions. Jawab semua soalan. The following information refers to the sets P and Q. Mak lumat berik ut adalah berk aitan dengan set P dan set Q. P {, 5, 7} Q {5, 7, 8, 0, } Based

More information

MAT Calculus [Kalkulus]

MAT Calculus [Kalkulus] UNIVERSITI SAINS MALAYSIA Second Semester Eamination 015/016 Academic Session June 016 MAT 101 - Calculus [Kalkulus] Duration : hours [Masa : jam] Please check that this eamination paper consists of EIGHT

More information

tutormansor.wordpress.com

tutormansor.wordpress.com Nama : LOGA SEKOLAH Tingkatan: UNIT PEPERIKSAAN SEKOLAH MENENGAH KEBANGSAAN MALIM PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 0 7/ MATEMATIK TAMBAHAN Kertas September jam JANGAN BUKA KERTAS SOALAN INI

More information

EEE REKABENTUK SISTEM KAWALAN

EEE REKABENTUK SISTEM KAWALAN UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Pertama Sidang Akademik 2003/2004 September/Oktober 2003 EEE 453 - REKABENTUK SISTEM KAWALAN Masa: 3 Jam SUa pastikan kertas peperiksaan ini mengandungi SEBELAS

More information

EEM 423 KEJURUTERAAN KEBOLEHPERCAYAAN

EEM 423 KEJURUTERAAN KEBOLEHPERCAYAAN UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Pertama Sidang Akademik 2010/2011 November 2010 EEM 423 KEJURUTERAAN KEBOLEHPERCAYAAN Masa : 3 jam ARAHAN KEPADA CALON: Sila pastikan bahawa kertas peperiksaan

More information

MAT 222 Differential Equations II [Persamaan Pembezaan II]

MAT 222 Differential Equations II [Persamaan Pembezaan II] - 1 - UNIVERSITI SAINS MALAYSIA First Semester Examination 015/016 Academic Session December 015/January016 MAT Differential Equations II [Persamaan Pembezaan II] Duration : 3 hours [Masa : 3 jam] Please

More information

INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only.

INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only. INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only. ARAHAN: Bahagian ini mengandungi ENAM (6) soalan berstruktur. Jawab EMPAT (4) soalan sahaja. QUESTION

More information

UNIVERSITI SAINS MALAYSIA EEE 354 SISTEM KAWALAN DIGIT

UNIVERSITI SAINS MALAYSIA EEE 354 SISTEM KAWALAN DIGIT UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Kedua Sidang Akademik 2011/2012 Jun 2012 EEE 354 SISTEM KAWALAN DIGIT Masa : 3 Jam Sila pastikan bahawa kertas peperiksaan ini mengandungi SEBELAS muka surat

More information

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

PEPERIKSAAN PERCUBAAN SPM TAHUN 2013 MATEMATIK TAMBAHAN. Kertas 1. Dua Jam JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

PEPERIKSAAN PERCUBAAN SPM TAHUN 2013 MATEMATIK TAMBAHAN. Kertas 1. Dua Jam JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 7/ Matematik Tambahan Kertas Sept 0 jam Nama : Tingkatan: PEPERIKSAAN PERCUBAAN SPM TAHUN 0 MATEMATIK TAMBAHAN Kertas Dua Jam JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU. This question paper consists

More information

UNIVERSITI SAINS MALAYSIA. Supplementary Semester Examination Academic Session 2004/2005. May IUK 291E - Mathematic I1 [Matematik II]

UNIVERSITI SAINS MALAYSIA. Supplementary Semester Examination Academic Session 2004/2005. May IUK 291E - Mathematic I1 [Matematik II] UNIVERSITI SAINS MALAYSIA Supplementary Semester Examination Academic Session 2004/2005 May 2005 IUK 291E - Mathematic I1 [Matematik II] Duration: 3 hours [Masa: 3jamJ Please check that this examination

More information

EEE 350 SISTEM KAWALAN

EEE 350 SISTEM KAWALAN UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Pertama Sidang Akademik 008/009 November 008 EEE 350 SISTEM KAWALAN Masa : 3 Jam ARAHAN KEPADA CALON: Sila pastikan kertas peperiksaan ini mengandungi SEBELAS

More information

π = d Addition Formulae Revision of some Trigonometry from Unit 1Exact Values H U1 O3 Trigonometry 26th November 2013 H U2 O3 Trig Formulae

π = d Addition Formulae Revision of some Trigonometry from Unit 1Exact Values H U1 O3 Trigonometry 26th November 2013 H U2 O3 Trig Formulae 26th November 2013 H U1 O3 Trigonometry Addition Formulae Revision of some Trigonometry from Unit 1Exact Values 2 30 o 30 o 3 2 r π = d 180 1 1 45 o 45 o 2 45 o 45 o 1 1 60 o 60 o 1 2 1 180 x x 180 + x

More information

SULIT /1 Answer all questions. Jawab semua soalan.

SULIT /1 Answer all questions. Jawab semua soalan. SULIT 5 472/1 Answer all questions. Jawab semua soalan. 1 Diagram 1 shows a reciprocal graph y f ( x) and two straight lines AB and CD. Point P lies on the graph. Rajah 1 menunjukkan graf salingan y f

More information

SULIT 47/ 47/ Matematik Tambahan Kertas ½ jam Ogos 008 SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH / KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN

More information

INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only.

INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only. SECTION A: 100 MARKS BAHAGIAN A: 100 MARKAH INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only. ARAHAN: Bahagian ini mengandungi ENAM (6) soalan berstruktur.

More information

MAA 111 Algebra for Science Students [Aljabar untuk Pelajar Sains]

MAA 111 Algebra for Science Students [Aljabar untuk Pelajar Sains] UNIVERSITI SAINS MALAYSIA Peperiksaan Kursus Semasa Cuti Panjang Sidang Akademik 9/ Jun MAA Algebra for Science Students [Aljabar untuk Pelajar Sains] Duration : hours [Masa : jam] Please check that this

More information

MAT Linear Algebra [Aljabar Linear]

MAT Linear Algebra [Aljabar Linear] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2014/2015 Academic Session June 2015 MAT 111 - Linear Algebra [Aljabar Linear] Duration : hours [Masa : jam] Please check that this examination paper

More information

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

(Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages)

(Kertas soalan ini mengandungi 11 soalan dalam 6 halaman yang dicetak) (This question paper consists of 11 questions on 6 printed pages) UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

weebly.com/ Core Mathematics 3 Trigonometry

weebly.com/ Core Mathematics 3 Trigonometry http://kumarmaths. weebly.com/ Core Mathematics 3 Trigonometry Core Maths 3 Trigonometry Page 1 C3 Trigonometry In C you were introduced to radian measure and had to find areas of sectors and segments.

More information

THE COMPOUND ANGLE IDENTITIES

THE COMPOUND ANGLE IDENTITIES TRIGONOMETRY THE COMPOUND ANGLE IDENTITIES Question 1 Prove the validity of each of the following trigonometric identities. a) sin x + cos x 4 4 b) cos x + + 3 sin x + 2cos x 3 3 c) cos 2x + + cos 2x cos

More information

7/ SULIT 7/ Matematik NAMA. Tambahan Kertas KELAS. Ogos 00 jam PERSIDANGAN KEBANGSAAN PENGETUA SEMENANJUNG MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 00 MATEMATIK TAMBAHAN Kertas Dua jam JANGAN

More information

DCC5143: FLUID MECHANICS

DCC5143: FLUID MECHANICS SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Please answer ALL questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan berstruktur. Sila

More information

Preview from Notesale.co.uk Page 2 of 42

Preview from Notesale.co.uk Page 2 of 42 . CONCEPTS & FORMULAS. INTRODUCTION Radian The angle subtended at centre of a circle by an arc of length equal to the radius of the circle is radian r o = o radian r r o radian = o = 6 Positive & Negative

More information

SCES2260 : KAEDAH SPEKTROSKOPI DALAM KIMIA ORGANIK SPECTROSCOPIC METHODS IN ORGANIC CHEMISTRY

SCES2260 : KAEDAH SPEKTROSKOPI DALAM KIMIA ORGANIK SPECTROSCOPIC METHODS IN ORGANIC CHEMISTRY UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

DCG5112 : HYDROGRAPHIC SURVEYING

DCG5112 : HYDROGRAPHIC SURVEYING SECTION A : 50 MARKS BAHAGIAN A : 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer all questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan struktur. Jawab semua

More information

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

Section A/ Bahagian A (40 marks/ 40 Markah) Selesaikan persamaan serentak 4x y x xy 8. Berikan jawapan anda betul kepada tiga tempat perpuluhan.

Section A/ Bahagian A (40 marks/ 40 Markah) Selesaikan persamaan serentak 4x y x xy 8. Berikan jawapan anda betul kepada tiga tempat perpuluhan. Section A/ Bahagian A (40 marks/ 40 Markah) Instructions: Answer all the questions from this section. Arahan: Jawab semua soalan di bahagian ini. Solve the simultaneous equations 4x y x xy 8. Give your

More information

MATEMATIK BAHAGIAN MATRIKULASI PENDIDIKAN KEMENTERIAN MALAYSIA PEPERIKSMN SEMESTER PROGMM MATRIKULASI. 2 hours

MATEMATIK BAHAGIAN MATRIKULASI PENDIDIKAN KEMENTERIAN MALAYSIA PEPERIKSMN SEMESTER PROGMM MATRIKULASI. 2 hours QS015/2 It*:runatix PWr2 Semester I Session 2015/2016 2 hours QSo15i2 Matematik Kertas 2 Semester I Sesi 2015/2016 2 jam I KEMENTERIAN PENDIDIKAN MALAYSIA BAHAGIAN MATRIKULASI A,TATRICULATTON DIVNION PEPERIKSMN

More information

PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 2006

PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 2006 Nama: Kelas: SULIT 72/1 Matematik Tambahan Kertas 1 September 2006 2 jam MAKTAB RENDAH SAINS MARA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 2006 72/1 7 2 1 MATEMATIK TAMBAHAN Kertas 1 Dua jam JANGAN

More information

EMH 451 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera]

EMH 451 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera] -1- [EMH 451/3] UNIVERSITI SAINS MALAYSIA First Semester Examination 2013/2014 Academic Session December 2013 / January 2014 EMH 451 Numerical Methods For Engineers [Kaedah Berangka Untuk Jurutera] Duration

More information

JEE PEMPROSESAN ISYARAT DIGIT

JEE PEMPROSESAN ISYARAT DIGIT UNIVERSITI SAINS MALAYSIA Peperiksaan Semester Kedua Sidang Akademik 2002/2003 Februari/Mac 2003 JEE 543 - PEMPROSESAN ISYARAT DIGIT Masa : 3jam ARAHAN KEPADA CALON: Sila pastikan bahawa kertas peperiksaan

More information

DCC6213: HYDRAULICS & HYDROLOGY

DCC6213: HYDRAULICS & HYDROLOGY SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. ARAHAN: Bahagian ini mengandungi DUA (2) soalan berstruktur. Jawab SEMUA

More information

C3 Exam Workshop 2. Workbook. 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2

C3 Exam Workshop 2. Workbook. 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2 C3 Exam Workshop 2 Workbook 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2 π. Give the value of α to 3 decimal places. (b) Hence write down the minimum value of 7 cos

More information

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section.

Jawab soalan mengikut arahan yang diberikan dalam setiap bahagian. Questions should be answered according to the instructions given in each section. UNIVERSITI MALAYA UNIVERSITY OF MALAYA PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN EXAMINATION FOR THE

More information

MSG 356 Mathematical Programming [Pengaturcaraan Matematik]

MSG 356 Mathematical Programming [Pengaturcaraan Matematik] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2011/2012 Academic Session June 2012 MSG 356 Mathematical Programming [Pengaturcaraan Matematik] Duration : 3 hours [Masa : 3 jam] Please check that

More information

SULIT 3472/1. DENGAN KERJASAMA Ogos/September PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH MALAYSIA CAWANGAN KELANTAN

SULIT 3472/1. DENGAN KERJASAMA Ogos/September PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH MALAYSIA CAWANGAN KELANTAN 7/ Nama :.. Tingkatan :.. 7/ Matematik Tambahan JABATAN PELAJARAN KELANTAN Tingkatan 5 DENGAN KERJASAMA Ogos/September PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA 00 SEKOLAH MENENGAH MALAYSIA Jam CAWANGAN

More information

I47. JIM 201- Linear Algebra [, ljabar Linearl. April2009. Duration: 3 hours lmasa: 3 jaml UNIVERSITI SAINS MALAYSIA

I47. JIM 201- Linear Algebra [, ljabar Linearl. April2009. Duration: 3 hours lmasa: 3 jaml UNIVERSITI SAINS MALAYSIA UNIVERSITI SAINS MALAYSIA Final Examination Academic Session 200812009 April2009 JIM 201- Linear Algebra [, ljabar Linearl Duration: 3 hours lmasa: 3 jaml Please ensure that this examination paper contains

More information

MST 565 Linear Models [Model Linear]

MST 565 Linear Models [Model Linear] UNIVERSITI SAINS MALAYSIA Second Semester Eamination 05/06 Academic Session June 06 MST 565 Linear Models [Model Linear] Duration : hours [Masa : jam] Please check that this eamination paper consists of

More information

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions.

INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. SECTION A: 50 MARKS BAHAGIAN A: 50 MARKAH INSTRUCTION: This section consists of TWO (2) structured questions. Answer ALL questions. ARAHAN : Bahagian ini mengandungi DUA (2) soalan berstruktur. Jawab SEMUA

More information

JJ309 : FLUID MECHANICS

JJ309 : FLUID MECHANICS INSTRUCTION: This section consists of SIX (6) structured questions. Answer FOUR (4) questions only. ARAHAN: Bahagian ini mengandungi ENAM (6) soalan struktur. Jawab EMPAT (4) soalan sahaja. QUESTION 1

More information

MSG 389 Engineering Computation II [Pengiraan Kejuruteraan II]

MSG 389 Engineering Computation II [Pengiraan Kejuruteraan II] UNIVERSITI SAINS MALAYSIA Second Semester Examination 2014/2015 Academic Session June 2015 MSG 389 Engineering Computation II [Pengiraan Kejuruteraan II] Duration : 3 hours [Masa : 3 jam] Please check

More information

EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN

EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN IJAZAH SARJANA MUDA SAINS DENGAN PENDIDIKAN UNIVERSITY OF MALAYA UNIVERSITI MALAYA EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE PEPERIKSAAN IJAZAH SARJANA MUDA SAINS EXAMINATION FOR THE DEGREE OF BACHELOR OF SCIENCE WITH EDUCATION PEPERIKSAAN

More information