Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.
A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.
In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.
A fair die is tossed twice. What is its smple size?
Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).
