# DIT107  MATHEMATICS FOR SCIENCE.

UNIVERSITY EXAMINATIONS: 2016/2017
EXAMINATION FOR THE DIPLOMA IN INFORMATION
TECHNOLOGY
DIT107 MATHEMATICS FOR SCIENCE
DATE: AUGUST, 2017 TIME: 2 HOURS
INSTRUCTIONS: Answer Question One and any other TWO questions.

QUESTION ONE
a) State the most important characteristic of quadratic functions (2 Marks)
b) State any four methods for solving quadratic equations (4 Marks)
c) By using an appropriate formula, determine the roots to the quadratic equations

QUESTION TWO
a) Distinguish between a sequence and a series (4Marks)
b) Given the series
3 + 8 + 13 + . . .
Determine
i) The first term, a (4Marks)
ii) The common difference,d (4Marks)
iii) The 42nd term (4Marks)
iv) The sum to the 30th term (4Marks)
QUESTION THREE
a) Simplify the following indices without using a calculator

QUESTION FOUR
a) Express each of their following in their simplest forms possible

QUESTIONFIVE
a) If log10 = 0.3010 and log103 = 0.4771, find without using a calculator or mathematical
tables correct to 4 decimal places the values of
i. log10 18 (4Marks)
ii. log10 1.5 (4Marks)
b) Using the long division method, find the remainder when the function

c) Using the remainder theorem, confirm your solution in b (i) above. (5 Marks)
d) From your result in (d) above, state whether (x + 2) in a factor of f (x)

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