Provide solution to the following questions: 1. Evaluate the following: xsin 3x dx A= cosa - sin a 2. If (sin a - cosa ) , then for what value of a is A an identity matrix? 3. The line y = mx + 1 is a tangent to the curve y = 4x .Find the value of m. 4. Solve the following differential equation: (x' - y') dx + 2 xy dy = 0. 5. Solve system of linear equations, using matrix method. x - y +2z =7 3x +4y -52 =-5 2x - y + 3z = 12