3. Find the absolute maximum and minimum of the function f(x) = x3 -12x -3 on the interval -3 x 4. 4. find the critical number for f(x) = 2x3 - 3x2 -12x + 5 Que.2 Do the following sums.(T/I) 1. Determine an equation for the tangent to the curve f(x) = 4x3 + 3x2 -5 at x = -1 2. Determine the velocity and acceleration at t = 2 for s(t) = (t2- 2)(t2+ 2) 3. Determine the points on the curve y = x2(x3-x)2 where the tangent line is horizontal. 4. For the function f(x) = x4-6x2-5, find the points of inflection and the intervals of concavity. 5. Consider the function f (x) = x4 - 8x3 a) Determine if the function is even, odd, or neither. b) Determine the domain of the function. c) Determine the intercepts. d) Find and classify the critical points. Identify the intervals of increase and decrease, and state the intervals of concavity. Que.3 Do the following sums.(C) 1. Describe how to use the second derivative test to classify critical points. 2. Describe the similarities and differences between the derivatives of y = + . + 3. How can the product rule be used to differentiate (2x - 5)3 4. Explain the relationship among the derivative of displacement, velocity and acceleration. 5. The concentration of an antibiotic in the blood t hours after it is taken is represented by the function C(t)= . Determine c(3) and interpret its meaning for this situation + Que. 4 Do the following sums. 1. The cost, in dollars, of making x large combo pizzas at a local pizzeria is modelled by the function C(x) = -0.001x 3 + 0.025x 2 + 4x and the price per large combo pizza is $17.50. Determine the following: a) the revenue function b) the marginal revenue function c) the profit function d) the marginal profit function 2. The height, h, of a ball t seconds after being thrown into the air is given by the function h(t) = 4.9t2 + 19.6t + 2. Find the maximum height of the ball. 3. A cylindrical can is to have a volume of 1 L. a) Find the height and radius of the can that will minimize the surface area. b) What is the ratio of the height to the diameter