S 0 L UTI 0 N St#efoodf3gf-_-gggE-dgsggEz T0 PRACTICE
P R 0 B L EMS
MATHEMATICS
3
14
-1
1.
1
16
1
1
-10 -20
-3
3
1
14
1
3
16
4f3 3 + i f3 will reduce to:
a.
y
4
f3+
1/3
c.
f3
- i
e.
'h
-
b.
3 -
if3
d.
2 + 2
f3
3 - i 3 - i f3 _ i
7
Answer (e)
f3 f3
12 f3 32 + Answer (c) =:
-
3. What is the value of x if:
1
a. 3.5 c. 0.17 e. 5.75
12i
CnY
2. The simultaneous equations:
b. 0.44 d. 2.26
I f log4 (23)
3x + y- z = 14 X+ 3y - Z = 16 x+y-3z=-10
= 1: 1_ log4 (23) = 1 X
x = log4 (23) = log 10 ( 23 ) = 2.26 log1o 4
Answer(d)
Have the solution:
c;)r
4. What is the 5th term of the expansion: [1
a. x = -5, y = -6, z = -35 b. X = 5, y = 7, Z = 8 C. X= -5, y = -6, Z = -39 d. X = 6, y = 6, Z = 10 e. x = 5, y = 6, z = 7
a. 2.2 x3
c. 12 xs e. __n___
+
b. l i x4 d. _2_
x7
n!
Using determinants:
X
1 -10 -20
if3
X
f3
6
4
Multiply the numerator and the denominator by the complex conjugate of the denominator:
3 + i
1
z
East 12-1
14
1
-1
16
3
-1
-10 3
1 1
3 -1
1
3
-1
1
1
-3
-126 + 10 - 16 - 30 +14 + 48 -27 - 1 - 1 + 3 + 3 + 3
3!
4! 5
+
7 (7 _ 1)(7 - 2)(7 - 3)1 7 (4)(3)(2)(1)
-
4
C;Y
=
12 x
4
Answer {b)