1. Determine the area of the triangle bounded by the coordinate axes and the tangent to x - y = 0 at x = 2. (Solution needed)

Choices:

• 3
• 2
• 3/2
• None of the choices
• 1/2 2. Find the equation(s) of a line that is tangent to f(x) = 4x - x and pass through P (2,5). (Provide detailed solution) Choices:
• y = 2 (x - 2) + 5
• y = 2 (x - 2) + 5
• None of the choices
• y = 2 (x + 2) -5
• y = 2 (x + 2) - 5