UNIVERSITY EXAMINATIONS: 2019/2020
ORDINARY EXAMINATION FOR THE DIPLOMA IN INFORMATION
TECHNOLOGY
DIT 107: MATHEMATICS FOR SCIECNE
DATE: MAY, 2020 TIME: 6 HOURS
INSTRUCTIONS:
SECTION TWO [20 MARKS]
1) Use long division to find the quotient Q and remainder R when dividing the polynomial
9) For the sequence -3, 3, 9, 15 …Find:
i) The sum to the 27th term.
ii) The sum to infinity
10) Solve the following simultaneous equations by elimination method
2𝑥 + 𝑦 — 𝑧 = 2
𝑥 − 2𝑦 + 3𝑧 = 9
5𝑥 + 3𝑦 — 2𝑧 = 7
SECTION THREE [20 MARKS]
1) Solve for x given log3(4x + 2) + log3 4 = log3(23 + 3x)
2) For the sequence -6, -2, 2, 6 … Find:
i. The sum to the 16th term.
ii. The sum to infinity.
15) Solve for x, y and z in the simultaneous equations:
i. 2x − y + 3z = 8
ii. x + 3y − z = 6
4
iii. 2x − 2y + 5z = 10
16) Sketch the graph of a quadratic function Without using a calculator, evaluate 16
1
2
17) Solve for x given 2x + 5 = -12
