1. (a) Explain how clock synchronisation is achieved in 10BT networks. (b) Discuss two methods by which CSMA/CD improves the SlottedAloha access scheme. (c) Two hosts are connected by an Ethernet full-duplex link. What is the maximum utilisation and under which conditions is achieved?

5. Consider the circuit of Figure 3 below: a. Enter the circuit into Multisim and determine the voltage across R₁and the current through it. b. Determine the The venin equivalent circuit to the left of terminal A-Busing ONLY Multisim. c. Connect R, to the Thevenin equivalent circuit found in (b) as shown in Figure 3(b). Determine the voltage and current for resistor R₁. It should agree with the results obtained in (a)

2. Use MATLAB to determine the following functions: \text { a. } f\left(8 x^{3}+4\right) d x \text { b. } \int 4 \cos (2-3 t) d t \text { c. } f\left(4 t^{3}-9 t^{2}+7 t+3\right) e^{-t} d t \text { d. } \int_{2}^{3}\left(6 x^{3}-2 x^{2}+3\right) d x

1. Use MATLAB to differentiate the following functions: \text { a. } y(x)=5 x^{3}-9 x+5 \text { b. } y(t)=5 t^{7}+2 t^{5}-3 t^{2}+10 \text { c. } f(t)=\sqrt{t}+\sqrt[3]{t}-2 \sqrt[4]{t} y=\frac{x^{2}+7}{2 x^{3}+5 x^{2}-4 x+9}

a. The equations below represent the node voltages obtained usingnodal analysis of the circuit shown in Figure(2). Solve the equations using MATLAB. 3 V_{1}-2 V_{3}=12 11 V_{2}-6 V_{3}-5 V_{4}=-90 -15 V_{1}-6 V_{2}+31 V_{3}-10 V_{4}=120 -V_{2}-2 V_{3}+3 V_{4}=36 b. Enter the circuit in Multisim and run the simulation to find thevalues of all node voltages. The results should agree with thoseobtained in (a) 12

a. The loop equations for the circuit shown in Figure 1 are stated below. 12 I_{1}-2 I_{2}-2 I_{3}=0 -2 I_{1}+7 I_{2}-2 I_{4}=-6 -2 I_{1}+7 I_{3}-2 I_{4}=6 -2 I_{2}-2 I_{3}+12 I_{4}=0 Solve the above equations using MATLAB to find all the loopcurrents. b. Enter the circuit in Multisim and run the simulation to find the values of all loop currents. The results should agree with those obtained in (a)