Mathematics Tes...

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

If cot θ (1 + sin θ) = 4m and cot θ (1 – sin θ) = 4n, then which one of the following is correct?

In a quadrilateral \(PQRS , \overrightarrow{ PQ }=\overrightarrow{ a }, \overrightarrow{ QR }=\overrightarrow{ b }, \overrightarrow{ SP }=\overrightarrow{ a }-\overrightarrow{ b }\). \(M\) is the mid-point of \(QR\) and \(X\) is a point on \(SM\) such that \(SX =\frac{4}{5} SM\), then \(\overrightarrow{ PX }\) is:

A coin tossed three times in succession. if E is the event that there are at least two heads and F is the event in which first throw is a head, then P(E/F) is equal to:

A pair of dice is thrown. Find the probability of obtaining a sum of 8 or getting an even number on both the dice.

Which term of an AP 403, 397, 391 ....... is the first negative term?

Differentiate \(f(x)=e^{a x+b}\) from first principles.

Find the area bounded by the curve between \(y=\sin x+\cos x\) in the interval \(0<\mathrm{x}<\frac{\pi}{2}\).

Find the general solution of given differential equation \(\frac{x d y}{d x}+3 y=4 x^3 ?\)