List of top Higher Mathematics Questions

The number of arbitrary constants in the particular solution of a differential equation of third order are \(\underline{\hspace{2cm}}\)
The direction cosines of \( x \), \( y \), and \( z \)-axis are \(\underline{\hspace{2cm}}\) respectively.
\( \int \left( \sin^{-1} x + \cos^{-1} x \right) dx\) = \(\underline{\hspace{2cm}}\)
The vector sum of the three sides of a triangle taken in order is \(\underline{\hspace{2cm}}\)
Rate of change of area of circle per second with respect to its radius \( r \) when \( r = 5 \, \text{cm} \) will be \(\underline{\hspace{2cm}}\)
\( \tan^{-1} \sqrt{3} - \sec^{-1}(-2) \) is equal to:
In the function \( f : \mathbb{R} \rightarrow \mathbb{R} \), given by \( f(x) = 5x \):