Engineering Mathematics 1 (MATE2101)
National Higher Polytechnic Institute (NAHPI)
Semester: First Semester
Level: 200
Year: 2018
THE UNIVERSITY OF BAMENDA
National Higher Polytechnique Institute (School of Engineering)
MATE2101 — ENGINEERING MATHEMATICS
Continuous Assessment: 2017/2018 Academic Year
TIME ALLOWED: 1 hour 30 minutes .
Find the domain and range of the function f (x)
(4MARKs)
Find the limits of the following functions:
a) lim
→
; b) lim
→
c) lim
→
d) lim
→
1 +
(12MARKs)
a) Find f′(X) given that f′(x) = (2x
3
+ 3x + 1)
2
(12MARKs)
b) Find
given that x
3
+ y
3
+3xy (2MARKs)
c) Let f(x) = 2x
2
+ 1. Use the limit definition of the derivative to find f’(x)
(3MARKs)
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