Mathematics Tes...

The standard deviation of the set {18, 23, 14, 3, 17} is:

If \(\sin x+\sin 3 x+\sin 5 x=0\), then the solution is:

Given function \(f(x)=\left(\frac{e^{2 z}-1}{e^{2 z}+1}\right)\) is:

Let \(z\) and \(w\) be two complex numbers such that \(|z|=|w|=1\) and \(|z+i w|\) \(=|z-i \bar{w}|=2 .\) Then, \(z\) equals

By mathematical induction \(\mathrm{p}^{\mathrm{n}+1}+(\mathrm{p}+1)^{2 \mathrm{n}-1}\) is divisible by:

Let \(f:R \rightarrow R\) be a function defined as \(f(x)=e^{x}\), for each \(x \in R, R\) is being the set of real numbers. Which one of the following is correct?

\(\text { If } \lim _{n \rightarrow \infty}\left(\sqrt{n^2-n-1}+n \alpha+\beta\right)=0 \text {, then } 8(\alpha+\beta) \text { is equal to: }\)

\(z=10 x+25 y\) subject to \(0 \leq x \leq 3\) and \(0 \leq y \leq 3, x+y \leq 5\) then the maximum value of \(\mathrm{z}\) is:

The maximum value of the determinant among all \(2 × 2\) real symmetric matrices with trace \(24\) is _______.