Cork Institute of Technology
Higher Certificate in Technology in Maintenance Technology – Award
(National Certificate in Technology in Maintenance Technology – Award)
(NFQ – Level 6)
Summer 2005
Mathematics
(Time: 3 Hours)
Answer FIVE questions.
Attempt Question 1 and FOUR others.
Examiners: Mr. M. Walsh
Mr. J. Connelly
Mr. R. Simpson
Q1. (a) Find dx
dy for (i) )25(3 2+= xCosy
(ii) )23)(43( 22 −−+= xxxxy (4 marks)
(b) Evaluate dx
x
xx
∫+
2
1
4
)1( (4 marks)
(c)
=41
32
A
−
=01
51
B Find A.B (3 marks)
(d) Solve i
i
22
63
+
+ (3 marks)
(e) Find the direction cosine for jir
ρ
ρ
ρ
34 += (3 marks)
(f) If 2 cards are drawn from a deck of 52 cards, what is the probability that they are both
spades? (3 marks)
