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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.
Make Q the subject of formula if p = \(\frac{M}{5}\)(X + Q) + 1
Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
At what value of X does the function y = -3 - 2x + X2 attain a minimum value?
The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression
If p : q = \(\frac{2}{3}\) : \(\frac{5}{6}\) and q : r = \(\frac{3}{4}\) : \(\frac{1}{2}\), find p : q : r
At what rate will the interest on N400 increases to N24 in 3 years reckoning in simple interest?