# How to Manage Essay

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02122310 Comprehensive Mathematics 1 2013 Semester 1 Assignment 1 2013-11 IMPORTANT INFORMATION       Due by 10pm Wed 13 November, 2013 Handwritten on A4 paper Name and student number on the front page, number all the pages. Step-by-step solution required Take one photo of your work and upload the photos onto http://iteeio.zust.edu.cn before deadline. It will be proof of the submission time. Write time of electronic submission on the front page of hardcopy. Submit hardcopy to the mailbox of 吴茗蔚 on the 4th floor of C1 within 24 hrs. SECTION 1. LINEAR EQUATIONS 1. Solve 6 x  8  x  4  2 x  11  5 x 2. 3. Determine three distinct solutions of 2 x  3 y  14 and plot its graph. Solve the system (1) 2 x  5 y  8 (2) 3 x  2 y  7 4. Find the solution of the following system: 2 x  3 y  5 z  2t  9 5 y  z  3t  1 7z  t  3 2t  8 5. Find the solution of the following system: x  3y  2z  6 2 x  4 y  2 z  18 3 x  8 y  9 z  9 VECTORS AND MATRICES SECTION 2. 1. Find  3 1   0 2  2   5   4 6   1 3  1 3   2 0 4  2. Given A    and B    , find AB  2 1  3 2 6  1 SECTION 3. TRIGONOMETRIC FUNCTIONS          1. Find sin   , cos   , tan   and cot   using a sketch of the angle 3 3 3 3 3 in Cartesian coordinate system.  2   4  2. Find sin   and cos   using the following rules:  3   3  sin(  x)  sin x cos(  x )   cos x sin(  x )   sin x cos(  x )   cos x 3. Fill in the table and look for mistakes angle degree radian function sin x 0 1 2 cos x 1 3 2 2 2 1 2 tan x  sin x cos x cot x  cos x sin x 0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 0 0 3 3  6 3 1 3 3  4 2 2 3 2 1 3  3  2 2 3 3 4 5 6 1 3 2 2 2 1 2 0  0  3 1 1 2 