1
KISII UNIVERSITY
TAKEAWAY CAT 1
15/11/2021
COURSE CODE: MATH 11...
![subject](/tpl/images/cats/mat.png)
Mathematics, 04.12.2021 14:00 munch1239
1
KISII UNIVERSITY
TAKEAWAY CAT 1
15/11/2021
COURSE CODE: MATH 112 COURSE TITLE: BASIC MATHEMATICS
SEP-DEC 2021
Instructions
a) Do not write anything on this question paper.
b) Answer questions ALL the Questions.
QUESTION ONE (COMPULSORY)
a) i) Distinguish between a tautology and a contradiction.
(2 marks)
ii) Write the negation of the statement “If I recover from my illness, I will go to Church.”
(2 marks)
b) Find the power set of
*
+
(4 marks)
c) Given
*
+
* +
*
+ and
*
+. Show that
(5 marks)
d) i) A basket contains 4 apples, 5 oranges and 8 bananas. How many ways can 2 apples, 1
orange and 2 bananas be chosen?
(4 marks)
ii) In how many ways can an even number greater than 2 000 be formed from the digits
1,2,3,4?
(4 marks)
e) Let
and
, find
i)
(2 marks)
ii)
(3 marks)
f) i)
ii)
Determine the number of ways a basketball coach can select five players from a team
of twelve players to participate in a match.
(3 marks)
g) Determine the inverse function of the following function
(3 marks)
Question Two (20 marks)
a) Given ( )
and ( )
i)
Find
( )
(3 marks)
ii)
Find (
) ( )
(3 marks)
iii)
Evaluate
(
)
(2 marks)
b) Let
*
+ and
*
+ find
(2 marks)
c) Prove that √ is not a rational number.
(8 marks)
d) State the domain and range of the funct
![ansver](/tpl/images/cats/User.png)
Answers: 1
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 14:40
Chose the graph below that represents the following system of inequality’s
Answers: 2
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 18:30
Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made. determine an equation to model his situation?
Answers: 3
![question](/tpl/images/cats/mat.png)
You know the right answer?
Questions
![question](/tpl/images/cats/mat.png)
Mathematics, 17.11.2020 20:40
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/en.png)
English, 17.11.2020 20:40
![question](/tpl/images/cats/es.png)
Spanish, 17.11.2020 20:40
![question](/tpl/images/cats/himiya.png)
Chemistry, 17.11.2020 20:40
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
History, 17.11.2020 20:40
![question](/tpl/images/cats/mat.png)
Mathematics, 17.11.2020 20:40
![question](/tpl/images/cats/mat.png)
Mathematics, 17.11.2020 20:40
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 17.11.2020 20:40
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 17.11.2020 20:40
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/geografiya.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 17.11.2020 20:40
![question](/tpl/images/cats/en.png)
English, 17.11.2020 20:40
![question](/tpl/images/cats/mkx.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 17.11.2020 20:40