Mathematical Methods (MATS2108)
Geology, Mining and Environmental Science - GENV
Semester: First Semester
Level: 200
Year: 2018
REPUBLIC OF
The UNIVERSITY OF
CAMEROON
BAMENDA
Faculty: Scien
ce_
Department: BOI CHEM
Lecturer(
s
): Ch
i Walter Ndifon
Course Code: MAT2108
Course Title: MATHEMATICS FOR
BIO CA
Date: 26/O1/2019
Hall: PBB08
Time: 1hour 30mins
Answer all questions. Each question carries equal
marks
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-l at x = 15
b.
By
using the first principle solve the following functions
(i) f(x)= sinx. (ii) f(x)=
(c) Find the equation of the line to Y= (x
4
- 3x
2
+ 2x)( x
3
- 2x + 3) at x=0
QUESTION 2 (15 marks)
a.
Define integration of a function and hence solve the following integrals
i)
2
√
ii)
b.
State fundament theorem of calculus and hence
(i) find the area bounded by the curve x= y
2
and X = 2-y
2
on the closed
interval -1,1.
GOOD LUCK
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