Mathematics Tes...

Evaluate the value of the integral \(\int \frac{x^{2}+x+1}{(x+1)^{2}(x+2)}\).

The solution to the inequality$-x^2+5x-6>0$ is:

Lines \(x=a y+b, z=c y+d\) and \(x=a^{\prime} y+b^{\prime}, z=c^{\prime} y+d^{\prime}\) are perpendicular, if:

For the vectors \(\overrightarrow{\mathrm{a}}=-4 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}, \overrightarrow{\mathrm{b}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}\) and \(\overrightarrow{\mathrm{c}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}},\) if\(\overrightarrow{\mathrm{c}}=\mathrm{m} \overrightarrow{\mathrm{a}}+\mathrm{n} \overrightarrow{\mathrm{b}},\) then the value of \(\mathrm{m}+\mathrm{n}\) is:

The mean of the numbers 1, 4, 9, X, 12, 14, 15 and 16 is 10. Find the mode.

The angle of elevation of an aeroplane from a point on the ground is \(60^{\circ}\). After flying for 30 seconds, the angle of elevation changes to \(30^{\circ} .\) If the aeroplane is flying at a height of 6000 m, then what is the speed (in m/s) of the aeroplane?

What is the number of diagonals of a heptagon?