Question 4 Use implicit differentiation to find dx 3x cosy - 4csc(3x - 2) = 623 + Vx. (9 marks) Question 5 Use logarithmic differentiation to find an expression for dy dx if: y = (5x - 4x2 ) sin x (8 marks) Question 6 The gradient of a curve is given by dx = 6x2 - 12x . The y-coordinate of the minimum turning point of the curve is 10. Find the equation of the curve. (8 marks) Question 7 Evaluate the following integrals. i. J-7x4 8 /3x5 - 2 dox ii. 3 cos x dx 8 - 7 sin x 27 5x 4 iii. dx X - 2 12 (6 +5+9 marks) Question 8 A car is travelling at a constant speed until the car's brakes are applied. The car's speed changes at a rate given by -0.08t ms" after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms . How far will the car travel with the brakes applied before it stops? (10 marks)