Question 1 Course: Discrete Mathematics Scheduling - (a) The table below shows the activities A, B, C, D and E, involved in a construction project. Activity Preceded by Duration (days) A 9 B - 5 C D, A 6 D A 13 E D. A 3 Use the activity network algorithm to construct an activity network that represents the activities, their durations and precedences. Calculate the earliest start time, the latest start time and the float time for EACH activity in the network. (b) (c) Hence, determine aivity (i) the critical path of the network (ii) the minimum completion time of the project. QUESTION 5 In figure, C,- 7 uF, C- 1 F, and C, 4 F. The capacitor network is connected to an applied potential Vab. After the charges on the capacitors have reached their final values, the charge on C, is 32 C. What is the applied voltage Vab? (Give your answer in decimal using V as unit) C 96V C3 d QUESTION 6 For the capacitor network shown in the figure, C,-148 nF, C,-123 nF and the potential difference across ab is 39 V. Find the total energy stored in the network (Give your answer in scientific notation using J as unit) b