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

Question

Provide solution to the following questions:

1. Evaluate the following:

2. If , then for what value of α is A an identity matrix?

3. The line y = mx + 1 is a tangent to the curve y²= 4x .Find the value of m.

4. Solve the following differential equation: (x²− y²) dx + 2 xy dy = 0.

5. Solve system of linear equations, using matrix method.

x − y +2z =7

3x +4y −5z =−5

2x − y + 3z = 12