cameroon gce advance level June 2021 further mathematics paper 1
cameroon gce advance level June 2021 further mathematics paper 1
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3
11. A continuous random variable X has a probability
density function /, where
| 0 | A [1, 2 ] | elsewhere |
| B [ 0,1] | ||
| C [–1, 0] | 0 , A k( l — x2 ) |
x < 0 0 < x < 1 |
| The cumulative probability function F( x ) = |
14. If f [ x ) =z 2 + x 2 – x3, then the equation
f [ x ) — Ohas a solution on the interval
0 < x < 1
| x > 1 | 1 | |
| lc( x –*–) B 0, |
0 < x < 1 elsewhere |
D I .–2.– 1] |
0, x < 0
0 < x < 1
x > 1
2sin|( )
c 1, –IT) 15. Given that f ( x ) = x x A 0
k
, x — 0
0
, x < 0
0 < x < 1
x > 1
is a continuous function at x = 0 , the value of k is
D *(*–£), A 0
0
B 1
2
12. A particle of mass m falls against a resistance of
magnitude to
^
where vis the velocity and A: is a positive
constant. The equation of motion is given by
CD
2
16. A force F = (3i — j 4– *2k )Ar acts on a particle giving
it a displacement of(3i 4– 4k) m. The work done by F is
A 15 J
B 5/l4 J
d v
A
= —rnkv
dl
dv
B
— = mg — kv
dt
dv C 5.1
D 17 J
C
— = mg –1– kv
dt
dv
D = —mg — kv 2
