Questions - Provide solution to the following questions:
Q1. Evaluate the following: ∫xsin3xdx
Q2. If, then for what value of α is A an identity matrix?
Q3. The line y = mx + 1 is a tangent to the curve y^{2} = 4x. Find the value of m.
Q4. Solve the following differential equation: (x^{2} - y^{2}) dx + 2 xy dy = 0.
Q5. Solve system of linear equations, using matrix method.
x - y + 2z = 7
3x + 4y - 5z = - 5
2x - y + 3z = 12