### cameroon gce advance level June 2015 further mathematics paper 1

cameroon gce advance level June 2015 further mathematics paper 1

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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