BIT 1110 BCU 102 BAC 1103 BSD 1102 BISF 1102  MATHEMATICS FOR SCIENCE.

UNIVERSITY EXAMINATIONS: 2020/2021
ORDINARY EXAMINATION FOR BSc. IT, BBIT, BAC, BSD, BISF
BIT 1110, BCU 102, BAC 1103, BSD 1102, BISF 1102: MATHEMATICS
FOR SCIENCE, FOUNDATION OF MATHS, COMPUTING MATHS
(DAY/PARTTIME/DISTANCE LEARNING)
DATE: DECEMBER, 2021 TIME: 2 HOURS
INSTRUCTIONS: Answer Question One And Any Other Two Questions

QUESTION ONE
(a)Prove that,if one root of the equation 𝑎𝑥

. [4 Marks]
QUESTION TWO
a) State remainder and factor theorem (2 Marks)
b) When

QUESTION THREE
(a)Prove the following identity sin𝐵−sin 𝐶

QUESTION FOUR
(a) A geometric series has first term 25 and common ratio 3/5. Given that the sum of k
terms of the series is greater than 61
(i)Show that 𝒌 >

correct to 4 decimal place. (5 Marks)
(c) In how many ways can a customer at the super market select 3 different types of soda
from 30 available types, and 10 different packets of biscuits from 12 different available
packets? [3Marks]

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