Question 3 3.1 The formula to calculate the demand for power is given by 2 2 2 d R I P = . If the demand for power increases by more than 9%, load shedding is implemented. 3.1.1 On a cold winters night, the current changes by 3%, the resistance changes by 2% and the cable diameter changes by 2%. Calculate the maximum change in power. (4) 3.1.2 Will load shedding be implemented? Give a reason for your answer. (1) 3.2 The volume of water in a dam is determined by the formula 2 (3 3 ) 2 V = h d h . After a rainfall, water is flowing into the dam resulting in an increase in the water level at a rate of 0.06m/hr while the diameter of the dam is increasing at a rate of 0.25m/hr. Determine the rate at which the volume is changing the instant when = 20m and = 6m. (4) 3.3 Use the Maclaurin series to expand to four non-zero terms. (5) Total [40]