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In how many was can the letters of the word ELATION be arranged?
\(\begin{array}{c|c} No & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline Frequency & 1 & 4 & 3 & 8 & 2 & 5 \end{array}\). From the table above, find the median and range of the data respectively.
Find \(\int\) cos4 x dx
Evaluate \(\int^{1}_{0}\)(3 - 2x)dx
Find the value of x at the minimum point of the curve y = x3 + x2 - x + 1
| Class Intervals | 0-2 | 3-5 | 6-8 | 9-11 |
| Frequency | 3 | 2 | 5 | 3 |
Find the mode of the above distribution.
The derivatives of (2x + 1)(3x + 1) is
In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?
Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).
The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.
The perpendicular bisector of a line XY is the locus of a point
A chord of circle of radius 7cm is 5cm from the centre of the circle.What is the length of the chord?
If \(\begin{vmatrix} 2 & 3 \\ 5 & 3x \end{vmatrix}\) = \(\begin{vmatrix} 4 & 1 \\ 3 & 2x \end{vmatrix}\), find the value of x.