Find the gradient of the line passing through the points (-2, 0) and (0, -4)
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2010
W is directly proportional to U. If W = 5 when U = 3, find U when W = \(\frac{2}{7}\)
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2010
Find the standard deviation of 2, 3, 5 and 6
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2010
If three unbiased coins are tossed, find the probability that they are all heads
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2010
In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?
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2010
\(\begin{array}{c|c} \text{Marks} & 1 & 2 & 3 & 4 & 5\\ \hline \text{Frequency} & 2 & 2 & 8 & 4 & 4\end{array}\)The table above shows the marks obtained in a given test. Find the m…
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2010
\(\begin{array}{c|c} \text{Marks} & 1 & 2 & 3 & 4 & 5\\ \hline \text{Frequency} & 2 & 2 & 8 & 4 & 4\end{array}\)The table above shows the marks obtained in a given test. How many s…
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2010
\(\begin{array}{c|c} \text{Marks} & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline \text{No. of students} & 3 & 1 & 5 & 2 & 4 & 2 & 3\end{array}\)From the table above, if the…
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2010
Evaluate \(\int^{2}_{0}(x^3 + x^2)\)dx.
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2010
If y = x sinx, find \(\frac{dy}{dx}\)
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2010
If y = (2x + 1)3, find \(\frac{dy}{dx}\)
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2010
If cot\(\theta\) = \(\frac{8}{15}\), where \(\theta\) is acute, find sin\(\theta\)
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2010
Find the distance between the points (\(\frac{1}{2}\), -\(\frac{1}{2}\)).
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2010
A cylindrical pipe 50cm long with radius 7m has one end open. What is the total surface area of the pipe?
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2010
The interior angles of a quadrilateral are (x + 15)o, (2x - 45)o and (x + 10)o. Find the value of the least interior angle.
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2010
If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\)
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2010
Evaluate \(\begin{vmatrix} 2 & 0 & 5 \\ 4 & 6 & 3 \\ 8 & 9 & 1 \end{vmatrix}\)
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2010
If \(\begin{vmatrix} x & 3 \\ 2 & 7 \end{vmatrix}\) = 15, find the value of x
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2010
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....