Mathematics for Engineering 1 (FSCT2101)

Mechanical Engineering - MEN

Semester: First Semester

Level: 200

Year: 2019

UNIVERSITY OF BAMENDA
HIGHER TECHNICAL TEACHER TRAINING COLLEGE (HTTTC) BAMBILI
FIRST SEMESTER EXAMINATION : MARCH 2019
Course Title : FSCT2111: ENGINEERING MATHMATICS 1
Program: HTTTC. Specialties: ALL INDUSTRAL LEVEL: 200
Instructions: Answer all Questions
Duration; 1:30 Mins
Lecturer: Mr. CHENY J.
1. Determine the domain of definition of the following functions
a) g(x) =


b) h(x) = ln



2. The function f(x) is defined by f (X) =
 !
"# "
Where # is a real constant? Find the value of # given that f(x) is continuous at x=2. (3mks)
3. Evaluate the following limits a) $%
&'
(


) b) Find $%
&'
*+,
-.*
(3.3mks)
4. Differentiate a) /
0
1
b) 2
0
5. Evaluate the following limits a) $%
&'
3
4
3
54
b) consider the function of real variable defined
by
6
2
0



728
2
09
Determine the value of k if the function f is continuous at x
0
=
(4mks)
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