ESSENTIAL MATHEMATICS – My Assignment Tutor

ASSIGNMENT/ TUGASAN ________________________________________________________________________ SBMA1403 ESSENTIAL MATHEMATICS /MATEMATIK ASAS SEPT SEMESTER 2021/SEMESTER SEPT 2021 SPECIFIC INSTRUCTION / ARAHAN KHUSUS Answer in ENGLISH  or  MALAY /   Jawab dalam BAHASA INGGERIS  atau BAHASA MELAYU Submit your assignment ONCE only in a SINGLE file. / Hantar tugasan SEKALI sahaja dalam  SATU fail. Submit your assignment ONLINE / Tugasan ini dihantar secara ONLINE. Submission date : 15 NOVEMBER 2021. Tarikh penghantaran : 15 NOVEMBER 2021. This assignment accounts for 60% of the total marks for the course / Tugasan ini menyumbang sebanyak 60% dari jumlah markah kursus. Answer all the questions and show your detailed workings clearly and systematically / Jawab semua soalan dan tunjukkan jalan kerja yang terperinci  anda dengan jelas dan sistematik. ASSIGNMENT QUESTION PURPOSE  The purpose of this assignment is to enhance learners’ understanding and ability to work with problems related to numbers, basic logarithms, indices, set operations and application of sets, change of bases and straight lines. Tujuan tugasan ini adalah untuk meningkatkan pemahaman dan keupayaan pelajar untuk bekerja dengan masalah yang berkaitan dengan nombor, logaritma asas, indeks, operasi dengan set dan penggunaan set, pertukaran dasar dan garis lurus. REQUIREMENT Answer all the questions and show your detailed workings clearly and systematically. Jawab semua soalan dan tunjukkan jalan kerja yang terperinci  dengan jelas dan sistematik. PART I       QUESTION 1                                                                                                                                                                                                                                 Explain at least two different types of numbers with appropriate examples.             *Answers taken directly from the module will not be accepted.                    (4 marks) Explain absolute value of numbers with appropriate examples.                       (2 marks)  Given p = 0.000000251 and q = 0.00000325.                                                      (2 marks)Write p and q in standard formFind pq.  Write your answer in standard form Graph the interval (-2.5, 3.5].                                                                                 (2 marks)                                                              (Total 10 marks) Terangkan sekurang-kurangnya dua  jenis nombor dengan contoh yang sesuai.                           *Jawapan yang diambil bulat-bulat dari modul tidak akan diterima.            (4 markah) Terangkan nilai nombor mutlak dengan contoh yang sesuai.                         (2 markah) Diberi p =  0.000000251 dan  q = 0.00000325                           i. Tuliskan p dan q dalam bentuk piawai.                          ii. Cari pq.  Tuliskan jawapan anda dalam bentuk piawai.                                (2 markah) Grafkan selang (-1.5, 4]                                                                                         (2 markah) (Jumlah 10 markah)     QUESTION 2                                                                                                       Simplify the following expression. Write the answer with only positive exponents.                                                                                                                             (3 marks)  Solve the following equation:           log (5x- 11) = 2                                          (2 marks)  Expand the following expression:                                                             (2 marks) Change to base 10 and arrange in descending order:  11112, 10012, 110012 .                                                                                                                                         (3 marks)                                                                                                                                                          (Total 10 marks)   Permudahkan ungkapan berikut. Tulis jawapan dengan eksponen positif sahaja.                                                                                                                (3 markah)  Selesaikan persamaan berikut:   log (5x- 11) = 2                                                   (2 markah) Kembangkan ungkapan berikut:                                                                (2 markah)Tukarkan ke dasar 10 dan susunkan mengikut urutan menurun:  11112, 10012,            110012.                                                                                                                          (3 markah)                                                                                                                                 (Jumlah 10 markah) PART II Instructions: Discuss with your coursemates and formulate solutions to the following questions. There will be areas for group discussions readily available for you in the discussion forum area. You may select any group to work with. You are to write your own answers for the questions and show all your work. As part of your answers, please include snapshots of the forum discussions as proof of your participation in the discussions for each of the questions. (9 marks allocated for participation in group discussions)             Arahan: Bincangkan dengan rakan kursus anda dan rumuskan penyelesaian untuk soalan-soalan berikut. Terdapat platform untuk perbincangan kumpulan yang tersedia untuk anda di platform forum perbincangan. Anda boleh memilih mana-mana kumpulan untuk bekerjasama. Anda mesti menulis jawapan anda sendiri untuk soalan dan menunjukkan semua hasil kerja anda. Sebagai sebahagian daripada jawapan, anda harus memasukkan gambar perbincangan forum sebagai bukti penyertaan anda dalam perbincangan kumpulan untuk setiap soalan. (9 markah diperuntukkan untuk penyertaan dalam perbincangan kumpulan)       QUESTION 3                                                                                         Given x = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t},                P = {b, e, c, j, l, m, o, n}, R = {c, i, k, m, n, o, s} and S= {c, e, k, n, q, r, t}.                          Determine the following (all work must be shown): (P È S)¢(P È R È S)¢(P È S)¢Ç (P È R)[(P È R)  Ç  (PÇ S)] È (P È R)¢                                                                                                                                                                      (6 marks) The owners of a restaurant would like to decide on which type of Roti Canai their store should produce the most. A group of 140 customers were randomly selected and asked to state their preferences:  T- Roti Telur,  B- Roti Bawang, S-Roti Sardin.                       The data collected is as follows:                                           67 like Roti Telur                                           72 like Roti Bawang                                           50 like Roti Sardin                                             32 like Roti Telur and Roti Bawang                                             27 like Roti Sardin and Roti Telur like Roti Bawang and Roti Sardin 18  like all three types Use the template below to set up a complete Venn diagram for the data given.     How many persons prefer Roti Telur or Roti Bawang but not Roti Sardin?           How many persons like at most two of the choices?                         How many do not like any of the three types of Roti Canai?                                                                                                                                    (11 marks) Submit proof of participation in group discussions.                                          (3 marks)                                                                                                                                                                        (Total 20 marks)   Diberi  x = {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t},                        P = {b, e, c, j, l, m, o, n}, R = {c, i, k, m, n, o, s} and S = {c, e, k, n, q, r, t}.              Tentukan yang berikut (semua jalan kerja perlu ditunjukkan): (P È S)¢(P È R È S)¢(P È S)¢Ç (P È R)[(P È R)  Ç  (PÇ S)] È (P È R)¢                                                                                                                  (6 markah) Pemilik restoran ingin memutuskan Roti Canai jenis mana yang patut dihasilkan         paling banyak oleh kedai mereka. Sekumpulan 140 pelanggan dipilih secara rawak        dan  diminta menyatakan pilihan mereka: T-Roti Telur, B – Roti Bawang, S- Roti Sardin.                    Data yang dikumpulkan adalah seperti berikut:                                        67  suka Roti Telur                                       72  suka Roti Bawang                                       50  suka Roti Sardin                                         32  suka Roti Telur dan Roti Bawang                                         27  suka Roti Sardin dan Roti Telur suka Roti Bawang and Roti Sardin  18  suka ketiga-tiga jenis        Gunakan templat di bawah untuk menyediakan gambarajah Venn           lengkap bagi data yang diberikan.         Berapa ramai orang yang suka Roti Telur atau Roti Bawang tetapi tidak           Roti Sardin?     Berapa ramai orang yang suka paling banyak dua pilihan?    Berapa ramai orang yang tidak suka ketiga-tiga jenis Roti Canai?                                                                                                                                                                  (11 markah) Sertakan bukti penyertaan dalam perbincangan kumpulan.                        (3 markah)                                                                                                                                                                     (Jumlah 20 markah)          QUESTION 4                                                                                                                              Provide complete answers to the following:  Briefly explain the concept of gradient with appropriate examples.                      (2 marks)  If one line has a slope of 3 and another has a slope of -6, which line is less steep?  Why?                                                                                                                                      (2 marks)  Given the two points M(3, -5) and N(-2, 6) find the midpoint, length and gradient of   MN.                                                                                                                                       (6 marks)     Find the equation of the line that passes through the point (-1, -4) and is  perpendicular to the line x – 3y = 6.                                                                                (3 marks) Graph the lines for the equations in (d) on the same axes. (Computer generated graphs are not acceptable)                                                                                                             (4 marks) Submit proof of participation in group discussions.                                                    (3 marks)                                                                                                                                                   (Total 20 marks) Berikan jawapan lengkap bagi yang berikut: Terangkan secara ringkas konsep kecerunan dengan contoh yang sesuai.           (2 markah) Sekiranya satu garis mempunya kecerunan 3 dan satu lagi mempunyai kecerunan -6, garis yang mana kurang curam? Mengapa?                                                                         (2 markah) Diberi dua titik M(3, -5) dan N(-2, 6) cari titik tengah, kepanjangan dan kecerunan MN.                                                                                                                                               (6 markah) Cari persamaan satu garis yang melalui titik (-1, -4) dan bersudut tepat  dengan garisan x –3 y = 6.                                                                                                                               (3 markah) Lakarkan graf bagi kedua-dua persamaan garisan dalam (d)  di atas paksi yang sama. (Graf yang dihasilkan oleh komputer tidak diterima)                                                 (4 markah) Sertakan bukti penyertaan dalam perbincangan kumpulan                                       (3 markah)  (Jumlah 20 markah)  [TOTAL MARKS / JUMLAH MARKAH: 60] MUKA SURAT TAMAT / END OF PAGE

QUALITY: 100% ORIGINAL PAPER – NO PLAGIARISM – CUSTOM PAPER

Leave a Reply

Your email address will not be published. Required fields are marked *