Mathematics Tes...

The mean deviation from the median is:

What is the angle between the two lines whose direction numbers are \((\sqrt{3}-1,-\sqrt{3}-1,4)\) and \((-\sqrt{3}-1, \sqrt{3}-1,4)\)?

Let \(\mathrm{ABCD}\) be a parallelogram such that \(\overrightarrow{\mathrm{AB}}=\overrightarrow{\mathrm{q}}, \overrightarrow{\mathrm{AD}}=\overrightarrow{\mathrm{p}}\) and \(\angle \mathrm{BAD}\) be an acute angle. If \(\vec{r}\) is the vector that coincide with the altitude directed from the vertex \(\mathrm{B}\) to the side \(\mathrm{AD}\), then \(\overrightarrow{\mathrm{r}}\) is given by :

Evaluate the integral \(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}} d x\).

The solution of the set of constraints of a linear programming problem is a convex (open or closed) is called ___________ region.

If \(y=y(x)\) is the solution of the differential equation \(\frac{d y}{d x}+(\tan x) y=\sin x, 0 \leq x \leq \frac{\pi}{3}\), with \(y(0)=0\), then \(y\left(\frac{\pi}{4}\right)\) is equal to:

The value of \(\int_{0}^{\frac{\pi}{3}} \sqrt{1+\sin 2 x} d x\) is:

The graph of the inequalities x ≥ 0, y ≥ 0, 2x + y + 6 ≤ 0 is:

Determine the maximum value of \(Z=3 x+4 y\) if the feasible region (shaded) for a LPP is shown in Figure.