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Tec 101; Basic Engineering Mathematics I Question Paper

Tec 101; Basic Engineering Mathematics I

Course:Bachelor Of Electrical And Electronics Engineering

Institution: Moi University question papers

Exam Year:2011

TEC 101: Basic Engineering Mathematics I
Series

1. Find the sum of the indicated number of sequential terms.

a. The terms of 4+7+10+...

b. 12 terms of 5/6 + 5/3 + 5/2 +...

c. 20 terms of 9+7+5...

d. 30 terms of (-30)+(-27)+(-24)+...

2. A supermarket displays cans; 20 cans in the bottom row and 1 can in the top row. Each row except the bottom row has one can less than the row below it. Find the number of camp on display.

3.
a. How many terms are there in the A.P with the sum 12, first term 1 and last term 3

b. Find the last term of the arithmetic series with sun 42, first term 2 and a total of 14 terms

4. Find the general terms of the following geometric progression.

a. 2, 6, 18 ...

b. 8, 7, 49/8 ....

5. Find the indicated term of the given geometric progression.

a. 16th term of 128, 64, 32 ...

b. 11th term of 1/243, 1/81, 1/27 ...

6. A marker is suspended at the end of an oscillating spring. Find the total distance the marker travels if the first oscillation is 4cm long and each subsequent oscillation is 85% of the preceding one.

7. The first swing of a pendulum's ball is an arc of length 50cm. The length of each subsequent arc swing is 96% of the preceding one. Find the total distance travelled by the ball.

8. When dropped, a certain rubber ball bounces back to 5/7 of its preceding height. If the ball is dropped from a window 24m above the ground, how far will the ball travel in its sixth bounce?

9. Use the technique of summing an infinite series to show that 0.131313... is rational

10. A machine worth shs. 50,000 depreciates in value each year by 20% (of its value at the start of the year). Find the value when it is 9 years old

11. Find the sum of all terms of a G.P with the first term being 20, last term 14,580 and common ratio of 3.

Tec 101; Basic Engineering Mathematics I Question Paper

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