Neco Gce 2016 Further Mathematics OBJ & Essay/Theory Answers – Nov/Dec Expo

Neco Gce 2016 Further Mathematics OBJ & Essay/Theory Answers – Nov/Dec Expo

F MATHS OBJ
1-10ACAABCDEEA
11-21CBBBADECAC
21-30BABEECAAAE
31-40CABCEEADBC
41-50DDEBECAEEB

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1)
A=(2/1 -1/3)
|A|=2*3-1x-1
=6+1=7
minor(2)=3
(-1)=1
(1)=-1
(3)=2
minor A=(3/-1 1/2)
co-factor A(3/1 -1/2)
adjoint (A)=(3/-1 1/2)
A^-1=1/|A|adj(A)
=1/7(3/-1 1/2)


5)
diagram
final velocity(v)=u +at
=20+5(4)
=20+20
=40m/s total distance= area of trapezium OABD
+Area of a triagngle BCD
time between DC=t
from v=u+at
t=v-u/a= 40-0/10= 4s
total distance= 1/2(20+4)4 +1/2(4) * 40=
1/2(60)4 + 1/2(4) 40
=304+ 2*40
=120+80
=200m

11a)
i)
(12 + 31) + (23 + (-4-2))
(2+3)+(6+8)
5+14
=19

ii)
(21+32) + (13+(-2-4)
(2+6) + (3+(8))
8 + 11
=19

11b)
3x-2y+z=7
X+y-z=-2
2x+3y+5z=9
(3 -2 1) (X) = (7)
(1 1 -1) (Y) = (-2)
(2 3 5) (Z) = (9)
A X = B
/A/ = 3|1 -1| +2|1 -1| +1|1 1|
|3 5| |2 5| |2 3|
3(5-3) + 2(5-2) +1(3+2)
3(2) + 2(3) +1(5)
6+6+5
=17