The value of \(y\) is

From the passage: Three persons A, B and C were given a task, whose probabilities of com...

The probability that task is completed on time by at least one of them is:

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.

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

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

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

Three urns contain 6 red, 4 black; 4 red, 6 black and 5 red, 5 black marbles respectively. One of the urns is selected at random and a marble is drawn from it. If the marble drawn is red, then the probability that it is drawn from the first urn is

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

\(\int x\sqrt{x + 2}\,dx\) is equal to: