6. The displacement, y(m), of a body in damped oscillation is y = 2esin 3t. The task is to use the Product Rule to find an equation for the velocity of the object if v = = 7. The velocity of a moving vehicle is given by the equation v = (2t + 3)* The task is to use the Chain Rule to determine an equation for the acceleration when dv a = dt 8. A communication signal is given by the function y = : _ sint The task is to derive and equation for = using the Quotient Rule. 9. A company is required to fence off rectangular area around a robot arm to comply with health and safety law. They have 750 m of fencing available. The task is to find the maximum area they can fence off. 10. You plan to make a simple, open topped box from a piece of sheet metal by cutting a square - of equal size - from each corner and folding up the sides as shown in the diagram: If I = 20 cm and w = 12 cm calculate: a) The value of x which will give the maximum volume b) The maximum volume of the box c) Comment of the value obtained in part b