Mathematics Tes...

\(\frac{\sin 7 x+6 \sin 5 x+17 \sin 3 x+12 \sin x}{\sin 6 x+5 \sin 4 x+12 \sin 2 x}\) equals:

Find component of vector \(\vec{A}\) along the direction of \(\vec{B}\; A|| B\) and in perpendicular direction of \(\vec{B} \; A \perp B\)

Find the area enclosed by the parabola \(y=x^2\) and the line \(y=2 x+3\).

Find the length of the major axis of the ellipse \(\frac{x^{2}}{16}+\frac{y^{2}}{9}=1\).

The ratio of standard deviation and square root of number of observations is called:

If the sum of n terms of an AP is 300, first terms is 10 and last term is 50 then n is equal to ?

What can be said regarding if a line if its slope is negative

The set of all points, where the function \(\mathrm{f}(\mathrm{x})=\sqrt{1-\mathrm{e}^{-\mathrm{x}^{2}}}\) is differentiable, is:

If the mean of m observations out of n observations is n and the mean of remaining observations is m, then what is the mean of all n observations?

The inverse of the matrix \(\left[\begin{array}{ccc}2 & 5 & 0 \\ 0 & 1 & 1 \\ -1 & 0 & 3\end{array}\right]\) is: