Tutorial Letter 201/2/2012
Mathematics I
MAT1581 Semester 2
Department of Mathematical Sciences
This tutorial letter contains solutions to your assignments and guidelines for the examination.
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CONTENTS
1 2 3 4 5 6 SOLUTIONS ASSIGNMENT 1 ....................................................................................................... 3 SOLUTIONS ASSIGNMENT 2 ....................................................................................................... 7 ANSWERS PREPARATION PAPER 1 (MAY 2010) .................................................................... 7 ANSWERS PREPARATION PAPER 2 (OCTOBER 2011) ........................................................... 8 SOLUTIONS PREPARATION PAPER 3 (MAY 2011) ................................................................. 11 GUIDELINES TO WRITING THE EXAMINATION ....................................................................... 17
Please note: 1) Your study guides have the codes MAT181Q and WIM131U. Always use the new code MAT1581. 2) Register on myUNISA and activate your mylife e-mail to receive new information immediately. 3) Solutions for semester 1 assignments on myUNISA additional resources. 4) More past examination papers on myUNISA official study material. (Should solutions be made available it will be on additional resources). Students may send an answer to the lecturer for comments. 5) No past examination papers or solutions are sent to students upon request. 6) Check on myUNISA before the examination for any corrections or alternative solutions to assignment questions provided in this letter.
2
MAT1581/201
1
SOLUTIONS ASSIGNMENT 1
Question 1 Solve for x without the use of a calculator: 1.1
x = log3 9 − 6log 4 0.5 log 2−1 log 4 log 2 = log 3 3 + 6 2 log 2 6 = 1+ 2 =4 = log 3 32
Answer:
( )
1 2
−6
(6)
1.2
Solve for x: e
2x
− 3e x − 4 = 0
Answer:
(e x − 4)(e x + 1) = 0 (e x − 4) = 0 ex = 4 x = ln