MTH105
1. What is the value of \(i^15\)
\(-i\)
\(i\)
\(-i^2\)
\(i^2\)
2. Given\(f(x)=x^3-6x^2-11x+6\) Find f(2).
\(-32\)
40
32
\(-40\)
3. Weight and momentum are examples of which of the following
Scalars
Vectors
Magnitude
Direction
4. A geometric series with first term 3 converges to the sum of 2. Find the common ratio of the series.
\(\frac{1}{2}\)
\(-\frac{1}{2}\)
1
\(-1\)
5. Find the arithmetic mean of 4 and 18.
11
22
14
10
6. Find the equation of the circle centre (-3,4) with radius 7 units.
\(x^2+y^2+6x-8y+24=0\)
\(x^2+y^2-6x-8y+24=0\)
\(x^2+y^2+6x+8y-24=0\)
\(x^2+y^2+6x-8y-24=0\)
7. The equation of straight line passing through the point (1, 2) and parallel to the line\( y=3x+1\) is
\(y=-3x-1\)
\(y=3x+1\)
\(y=-3x+1\)
\(y=3x-1\)
8. If A is a square matrix such that \(A^2=I\), then \( A^(-1)\) is equal to:
2A
\(0\)
A
\(A+1\)
9. Which of the proposition is\(p\wedge (-p \vee q)\) is
A tautology
Logically equivalent to \( p∧q\)
A contradiction
All of the above
10. Evaluate the definite integral \(\int_{0}^{3}(2x+3x^{2})dx\)
16
18
32
36
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