Mathematical Methods (MATS2108)
Geology, Mining and Environmental Science - GENV
Semester: First Semester
Level: 200
Year: 2016
REPUBLIC OF
The UNIVERSITY OF
CAMEROON
BAMENDA
Faculty: Science_ Department: BOI CHEM
Lecturer(s): Chi Walter Ndifon
Course Code: MAT2108
Course Title: MATHEMATICS FOR
BIO CA
Date: /O/2017
Hall:
Time: 1hour
QUESTION 1 (15 marks)
a. Define derivative of a function at a point and hence compute the
derivative of a function
F(x) = 3x
3
+ 2x-1 at x = 6.
b. Differentiate the following functions
(i) F(x) = (3x + 4) (x
3
- 2x
2
+ x)
(ii) F(x) = (x
3
- 2x
2
+ 5) (x
4
- 3x
2
+ 2)
(iii) F(x) =
QUESTION 2 (15 marks)
a. By using the first principle solve the following functions
(i).f(x)= sinx. (ii) f(x)=
(iii) f(x)=
b. Solve the following logarithm equations
(i) Log4 (x
2
+ 15) = 4 (ii) log
10
(x
2
- 5x + 50)= 2
(ii) (iii) Log
x
27 = 3 (iv) Log
x
8 1 = 4
www.schoolfaqs.net
