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Determine the value of x for which (x\(^2\) - 1)>0
W is directly proportional to U. If W = 5 when U = 3, find U when W = \(\frac{2}{7}\)
Find the standard deviation of 2, 3, 5 and 6
If three unbiased coins are tossed, find the probability that they are all heads
In how many ways can a committee of 2 women and 3 men be chosen from 6 men and 5 women?
Evaluate \(\int^{2}_{0}(x^3 + x^2)\)dx.
If y = x sinx, find \(\frac{dy}{dx}\)
If cot\(\theta\) = \(\frac{8}{15}\), where \(\theta\) is acute, find sin\(\theta\)
Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).
Find the distance between the points (\(\frac{1}{2}\), \(\frac{1}{2}\)) and (-\(\frac{1}{2}\), -\(\frac{1}{2}\)).
A cylindrical pipe 50m long with radius 7m has one end open. What is the total surface area of the pipe?
The interior angles of a quadrilateral are (x + 15)°, (2x - 45)°, ( x - 30)° and (x + 10)°. Find the value of the least interior angle.
If P = \(\begin{pmatrix} 2 & -3 \\ 1 & 1 \end{pmatrix}\) , what is P\(^-1\)
Evaluate \(\begin{vmatrix} 2 & 0 & 5 \\ 4 & 6 & 3 \\ 8 & 9 & 1 \end{vmatrix}\)
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
Solve the inequalities -6 \(\leq\) 4 - 2x < 5 - x
For what range of values of x is \(\frac{1}{2}\)x + \(\frac{1}{4}\) > \(\frac{1}{3}\)x + \(\frac{1}{2}\)?
If x is inversely proportional to y and x = 2\(\frac{1}{2}\) when y = 2, find x if y = 4
Solve for x and y if x - y = 2 and x\(^2\) - y\(^2\) = 8
If 9x\(^2\) + 6xy + 4y\(^2\) is a factor of 27x\(^3\) - 8y\(^3\), find the other factor.