Q41. \(\frac{4\pi}{3} = _{---------} \: degree\)

Q42. The value of \(\begin{vmatrix}x^2 & x^3 & x^4 \\ x^3 & x^4 & x^5 \\ x^4 & x^5 & x^6 \end{vmatrix}\) is: \( _{---------}\)

Q43. For the function \(y=\frac{1}{2x}\), what is \(y^{'}(x)?\)

Q44. \(\begin{vmatrix} 1-x & 2 & 3 \\ 0 & x & 0 \\ 0 & 0 & x \end{vmatrix} = 0\) then \(x = _{------} \)

Q45. Find \(\int_{0}^{\pi} \sin ^2 x dx\).

Q46. For the function \(y=ln(2x)\), what is \(y^{'}(x)?\)

Q47. If \(A\) is a square matrix such that \(A^2 = I\), then \(A^{-1} \) is equal to:

Q48. If \(\begin{vmatrix}x & 1 \\ 2 & 3 \end{vmatrix} = 0\) then \( x = _{---------}\)

Q49. What is the value of \(log_{5}{(25)}?\)

Q50. Consider, \(x+y=3 \), \(3x+3y=7\).