From the diagram above, which of the following represents the vector V in component form?
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2012
The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.
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2012
The distance s in metres covered by a particle in t seconds is \(s = \frac{3}{2}t^{2} - 3t\). Find its acceleration.
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2012
A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.
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2012
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.
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2012
Find the number of different arrangements of the word IKOTITINA.
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2012
A straight line makes intercepts of -3 and 2 on the x- and y- axes respectively. Find the equation of the line.
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2012
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).
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2012
Find the values of x at the point of intersection of the curve \(y = x^{2} + 2x - 3\) and the lines \(y + x = 1\).
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2012
If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
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2012
A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.
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2012
Which of the following is nor a measure of central tendency?
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2012
Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r.
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2012
In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean
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2012
Find the unit vector in the direction of the vector \(-12i + 5j\).
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2012
Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.
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2012
Differentiate \(\frac{x}{x + 1}\) with respect to x.
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2012
A stone is dropped from a height of 45m. Find the time it takes to hit the ground. \([g = 10 ms^{-2}]\)