The functions f and g are defined on the set, R, of real numbers by \(f : x \to x^{2} - x - 6\) and \(g : x \to x - 1\). Find \(f \circ g(3)\).
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2011
Given that \(q = 9i + 6j\) and \(r = 4i - 6j\), which of the following statements is true?
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2011
A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Determine the acceleration when t = 2 secs.
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2011
A particle starts from rest and moves in a straight line such that its velocity, v, at time t seconds is given by \(v = (3t^{2} - 2t) ms^{-1}\). Calculate the distance covered in the first 2 seconds.
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2011
A body of mass 25kg changes its speed from 15m/s to 35m/s in 5 seconds by the action of an applied force F. Find the value of F.
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2011
Two forces 10N and 15N act on an object at an angle of 120° to each other. Find the magnitude of the resultant.
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2011
A force of 200N acting on a body of mass 20kg initially at rest causes it to move a distance of 320m along a straight line for t secs. Find the value of t.
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2011
A basket contains 3 red and 1 white identical balls. A ball is drawn from the basket at random. Calculate the probability that it is either white or red.
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2011
Four doctors and two nurses are to sit round a circular table. In how many ways can this be done if the nurses are to sit together?
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2011
If \(^{3x}C_{2} = 15\), find the value of x?
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2011
Marks5-78-1011-1314-1617-1920-22No of students472641148The table above shows the distribution of marks of students in a class. Find the upper class boundary of the modal class.
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2011
Find the standard deviation of the numbers 3,6,2,1,7 and 5.
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2011
In how many ways can 3 prefects be chosen out of 8 prefects?
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2011
The probability that Kofi and Ama hit a target in a shooting competition are \(\frac{1}{6}\) and \(\frac{1}{9}\) respectively. What is the probability that only one of them hit the target?
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2011
The mean of 2, 5, (x + 2), 7 and 9 is 6. Find the median.
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2011
Determine the coefficient of \(x^{2}\) in the expansion of \((a + 3x)^{6}\).
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2011
Find the equation of a circle with centre (-3, -8) and radius \(4\sqrt{6}\).
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2011
Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.
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2011
The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio.
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2011
If \(\begin{pmatrix} 3 & 2 \\ 7 & x \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 12 \\ 29 \end{pmatrix} \), find x.