Mathematics Tes...

Find the value of \(k\) if \(\underset{{{x \rightarrow 0}}}{\lim}\frac{-3 x^{2}-7 x+8}{7 x^{2}+2 x+2}=k\)

Let \(f: R \rightarrow R\) be defined as \(f(x)=x^{4}\). Choose the correct answer.

If (x) is an odd periodic function with period 2, then f(4) equal to:

Feasible region (shaded) for a LPP is shown in Fig., Maximise \(Z=5 x+7 y\). Findthe maximum value of \(Z\).

Find the area of the region (in sq. units) bounded by the curve \(y=e^{-2 x}\) and \(x\)-axis for \(x \in(-1,1)\).

The number of solutions of the equation \(x^{3}+2 x^{2}+5 x+2 \cos x=0\) in \([0,2 \pi]\) are:

The line passing through the points (1, 2, -1) and (3, -1, 2) meets the yz-plane at which one of the following points?

Find the value of \(x\) for the equation \(2 \tan ^{-1}(\cos x)=\tan ^{-1}(2 \operatorname{cosec} x) ?\)

Form the differential equation for the family of circle with center \((0,0)\) and radius \(r\), where \(r\) is any constant.