LECTURE 1 CQMS702 PRELIMINARIES WITH COMPLETE SOLUTIONS

Calculus for Business

LECTURE 1 CQMS702 PRELIMINARIES WITH COMPLETE
SOLUTIONS



1.1-1.2 Precalculus Review



The Real Number Line and Finite Interval
1. Open a, b axb 2. Closed a, b axb

3. Half-open a, b a xb 4. Half-open a, b a xb


Infinite Interval
1. a,  xa 2. a,  xa

3.  , a xa 4.  , a xa

5.  ,   x




Laws of Exponents


1
a m  a n  a m n a n  ,a  0
an
am 1
n
 a mn , a  0 n
 an ,a  0
a a

n n
a b
     , a, b  0
b a
m

ab
m
a b 
m n
m m
a n n
a or am
 a m a
m

  
Session 1 , b0 a0  1 Page 1
b bm

, Calculus for Business

Example 1 Simplify 25 x 8 3/2




Example 2 Perform the indicated operations:

et  et et  et 20  et  et  e2t




Session 1 Page 2