Short Answer 24. Determine the average rate of change of f(x) = - over the interval 2 S x $ 3. 2 X -X L 25. Use the first principles definition of the derivative to find f (2) where A(x) = 2r26. The position function of a object thrown on the moon is given by s(() = 6.57-0.83/, where time, f, is in seconds and distance, s, is in metres. Find the maximum height of the object. 27. The cost function for producing x units of a product is C(x) = -0.003x +4.2r + 3000. The revenue function is R(x) = 138x -0.15x . Determine the marginal profit for the sale of 100 units of the product. 28. Find the equation of the tangent to the curve /(x) = x- 3x + 5x | at the point (1, 4). 2x 29. Find the equation of the tangent to the curve y = 2sinx + sin x at the point where x = 30. The horizontal position of the pendulum of a grandfather clock can be modelled by h(() = A cos 2nt T . where A is the amplitude of the pendulum, / is time, in seconds, and 7 is the period of the pendulum. Determine the formula for the velocity of the pendulum at time f