The behavior and pattern of the data in a time series is NOT based on which of the following component?

The area of a triangle whose vertices are \(\left(x_1, y_1\right),\left(x_2, y_2\right)\) and \(\left(x_3, y_3\right)\) is given by the absolute value of

The solution of the differential equation \(2 x \frac{d y}{d x}-y=3\) represents:

If \(f(x)=|2 x+5|\), then \(f(x)\) is :

For an astronomical telescope with 10 m focal length objective and 10 cm eyepiece, tube length and magnification are :

Two pipes can fill a tank in 6 minutes and 12 minutes respectively, and a third pipe can empty the tank at the rate of 18 liters per minute. If all the pipes working together can fill the empty tank in 5 minutes, the capacity of the tank is:

Two dice are thrown simultaneously. If X denotes the number of sixes, then the variance of X is:

The value of the integral \(\int\left(x^6+x^4\right) d\left(x^2\right)\) is equal to:

Answer the question on the basis of passage given below:
In the periodic table, the d-block contains the elements of group \(3\) to \(12\). The d-orbitals are progressively filled in each of the four long periods. The elements of d block referred as transition metals have partly filled d orbitals and exhibit certain characteristic properties such as variety of oxidation states, formation of coloured ions, act as catalyst and show paramagnetic behaviour.
The two inner transition metals series \(4f\) and \(5f\) are known as Lanthanoids and Actinoids respectively. The lanthanoids resemble one another more closely as compared to ordinary transition elements in any series.
The catalytic activity of transition metals and their compounds is ascribed mainly to:

The work function of calcium is 2.14 eV. Find the threshold frequency for calcium.

A moving coil galvanometer has N number of turns in the coil with area A. It carries a current I and the magnetic field is B. The torque acting on the coil is :

A square of side L meters lies in the xy-plane in a region where the magnetic field is given by \( \vec{B} = B_0(2\hat{i} + 4\hat{j} + 5\hat{k}) \, T \), where \( B_0 \) is constant. The magnitude of flux passing through the square is

Sediment left after secondary treatment of sewage/waste is known as: