Which of the following functions are strictly decreasing on (0,π/2)?
If A=\(\begin{bmatrix}3&1\\-1&2\end{bmatrix}\),show that A2-5A+7I=0.Hence find A-1.
In the matrix A= \(\begin{bmatrix} 2 & 5 & 19&-7 \\ 35 & -2 & \frac{5}{2}&12 \\ \sqrt3 & 1 & -5&17 \end{bmatrix}\),write:
I. The order of the matrix II. The number of elements III. Write the elements a13, a21, a33, a24, a23
Find the value of \(\tan\frac{1}{2}\bigg[\sin^{-1}\frac{2x}{1+x^2}+\cos^{-1}\frac{1-y^2}{1+y^2}\bigg],\mid x\mid<1,y>0\,and\:xy<1\)
Find the value of tan-1\((1)\)+cos-1\((-\frac{1}{2})\)+sin-1\((-\frac{1}{2})\)
Find the value of cos-1\((\frac{1}{2})\)+2 sin-1\((\frac{1}{2})\)
Find a particular solution satisfying the given condition:\((1+x^2)\frac {dy}{dx}+2xy=\frac {1}{1+x^2}; \ y=0 \ when \ x=1\)