Mat 1581

MAT1581/201/2/2012

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

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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