The line y mx 1 is a tangent to the curve y2 4x find the

Question

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 y² = 4x. Find the value of m.

Q4. Solve the following differential equation: (x² - y²) 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