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

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1 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 ini mengandungi EMPAT (4) soalan struktur. Jawab DUA () soalan sahaja. QUESTION 1 SOALAN 1 CLO C a) The table shows the daily earnings of a store for a week. Jadual menunjukkan pendapatan harian sebuah kedai untuk seminggu. Day hari Mon Isnin Tues Selasa Wed Rabu Thurs Khamis Fri Jumaat Sat Sabtu Sun Ahad Earnings (RM) pendapatan Table 1 / Jadual 1 i. Plot a line graph for the data in table 1. Plotkan graf garis untuk data dalam jadual 1. ii. On which days were the earnings more than RM 400? Hari apakah pendapatan melebihi RM 400? [ marks] [ markah] iii. On which days were the earnings less than RM 300? Pada hari apakah pendapatan adalah kurang daripada RM 300? [ marks] [ markah] SULIT

2 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS CLO b) The height of 30 students of Mathematics, Science & Computer Department was measured in cm. The results were as follow. Ketinggian 30 pelajar Jabatan Matematik, Sains & Komputer telah diukur dalam cm. Keputusannya adalah seperti berikut : i. Construct a frequency table which contains 5 classes. Bina jadual kekerapan yang mengandungi 5 kelas. ii. Draw an ogive. Lukiskan ogif. [7 marks] [7 markah] iii. From the ogive, find the median. Daripada ogif, cari nilai median. [ marks] [ markah] 3 SULIT

3 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS QUESTION SOALAN CLO C a) A bag has 36 transistors. 4 of them are faulty transistors. transistors are taken one by one at random from the bag without replacement.find the probability if: Sebuah beg mengandungi 36 transistor. 4 daripadanya ialah transistor yang rosak. transistor diambil satu demi satu secara rawak dari beg itu dengan tidak dimasukkan semula. Cari kebarangkalian jika: i. both transistors taken are faulty kedua-dua transistor yang diambil adalah rosak ii. both transistors taken are not faulty kedua-dua transistor yang diambil adalah tidak rosak iii. at least one transistor is faulty sekurang-kurangnya 1 transistor adalah rosak [4 marks] [4 markah] 4 SULIT

4 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS CLO b) Three shooters are shooting once at a specific target point. The probability of participant P hits the target is 1/5. The probability of participant Q hits the target is 1/3. The probability of participant R hits the target is 1/. If they shoot at the same time, calculate the probability of : Tiga orang penembak menembak sekali pada suatu sasaran yang telah ditetapkan. Kebarangkalian peserta P mengena sasaran ialah 1/5. Kebarangkalian peserta Q mengena sasaran ialah 1/3. Kebarangkalian peserta R mengena sasaran ialah 1/. Jika mereka menembak serentak, hitungkan kebarangkalian bahawa: i. all three participants hit the target. kesemua tiga peserta mengena sasaran. ii. only participant R hits the target. hanya peserta R mengena sasaran. iii. only one shooting hits the target. hanya satu panahan sahaja yang mengena sasaran. iii. only two shootings hit the target. hanya dua panahan sahaja yang mengena sasaran. [ marks] [ markah] [5 marks] [5 markah] [5 marks] [5 markah] 5 SULIT

5 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS QUESTION 3 SOALAN 3 CLO C st 0 a) By using the Definition F s e f t dt given functions below:, find the Laplace Transform of the st 0 Dengan menggunakan rumus takrifan F s e f t dt Laplace bagi fungsi di bawah :, dapatkan Jelmaan i. f t m [4 marks] [4 markah] t ii. f t 4 e CLO b) Find the Laplace Transform of the given functions below : Dapatkan Jelmaan Laplace bagi fungsi di bawah : f t t e t i. ii. f t t 5 CLO c) Find the Laplace Transform by using the multiply by t n for the following function : Dapatkan Jelmaan Laplace dengan menggunakan multiply by t n untuk fungsi yang berikut : t f 6t sin 3t 6 SULIT

6 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS QUESTION 4 SOALAN 4 CLO C a) Find the Inverse Laplace Transform for Dapatkan Songsangan Jelmaan Laplace bagi i. 4 F ( s) s 3 ii. 8 F( s) 3 s [ marks] [ markah] [ marks] [ markah] iii. F ( s) s 1 5s 6 CLO b) i. Find the Inverse Laplace Transform for 5s 1 Dapatkan Songsangan Jelmaan Laplace bagi 5s 1 ii. Solve the differential equation ' y (0), y (0) 1. y '' 4y e t with the condition where Selesaikan persamaan pembezaan ' dimana y (0), y (0) 1 '' y 4y e t dengan keadaan [1 marks] [1 markah] 7 SULIT

7 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS SECTION B : 5 MARKS BAHAGIAN B : 5 MARKAH INSTRUCTION: This section consists of TWO () structured questions. Answer ONE (1) question only. ARAHAN: Bahagian ini mengandungi DUA () soalan berstruktur. Jawab SATU (1) soalan sahaja. QUESTION 5 SOALAN 5 C a) Find the root for the equation x 3 + x + 4x 7 = 0 correct to 4 decimal places with an initial assumption of x 0 = 1. 5 by using Newton Raphson Method. Dapatkan nilai punca sebenar x 3 + x + 4x 7 = 0 tepat kepada empat tempat perpuluhan dengan andaian nilai x 0 = 1. 5 menggunakan Kaedah Newton Raphson. [10 marks] [10 markah] b) Solve the linear system equation by using Crout Method. Selesaikan sistem persamaan linear berikut menggunakan Kaedah Crout. x + y + z = 0 8y + 6z = 10 x + 5z = 11 [15 marks] [15 markah] 8 SULIT

8 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS QUESTION 6 SOALAN 6 C a) Determine the differential equation below: Tentukan persamaan pembezaan di bawah: i. dy 3 x 3x x 7 dx ii. dy dx x yx x [4 marks] [4 markah] b) Form a differential equation for y 3 4 Ax x. Bentukkan persamaan pembezaan bagi y 3 4 Ax x. [5 marks] [5 markah] 9 SULIT

9 DBM 303: ELECTRICAL ENGINEERING MATHEMATICS dy c) Given that x 0, y and 5. Determine the second order of dx d y dy differential equation for 6 5y 0. dx dx dy Diberi x 0, y dan 5. Tentukan persamaan pembezaan dx d y dy peringkat kedua bagi 6 5y 0. dx dx [10 marks] [10 markah] SECTION C : 5 MARKAH BAHAGIAN C : 5 MARKS INSTRUCTION: Answer ONE (1) question from section A or section B or any questions that have not been answered yet. ARAHAN: Jawab SATU (1) soalan daripada mana mana bahagian A atau bahagian B atau mana-mana soalan yang belum dijawab. SOALAN TAMAT 10 SULIT

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