Please help with the following questions

2. (a) Find the values of o and 3 so that f(x) is continuous on [-2, 1]. 3 if I -2 f (x ) = or +8 if -2 1 15 marks] (b) Find the value of the derivative of the curve aly -- ry = 7 at the point (2, -1). (6 marks (c) (i) State the Intermediate Value Theorem. (4 marks) (ii) Apply the intermediate value theorem to show that the given equation r +2x - 1 =0 has a solution on the interval (0, 1]. [5 marks] (d) Find the arc length function for the curve y = 2 - In x taking Po(1, 1) as the starting point. (5 marks]