The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval

If \(y = \left(\frac{1}{x}\right)^x\), then the value of \(e^e\left(\frac{d^2y}{dx^2}\right)_{x=e}\) is:

\(\int \frac{dx}{x(x^5+3)}\) is equal to

The number of all possible matrices of order \(2\times2\) with each entry 0 or 1 is

\(\int_{-1}^{1}(|x-2|+|x|)\,dx =\)

If \(A = \begin{bmatrix}2&3\\-3&5\end{bmatrix}\), then which of the following statements are correct? A. \(A\) is a square matrix B. \(A^{-1}\) exists C. \(A\) is a symmetric matrix D. \(|A| = 19\) E. \(A\) is a null matrix Choose the correct answer from the options given below.

If \(a\) and \(b\) are the order and degree of the differential equation \(y'' + (y)^2 + 2y = 0\), then the value of \(2a+6b\) is:

From the passage: Mohan wants to donate a rectangular plot of land for a hospital in his...

The area of rectangular field is:

The solution of the differential equation \(x\,dy - y\,dx = 0\) represents a family of