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(4 marks) Q.1-a Which of the following time conventions are proper? (a) eor(b)c e(d) e Q.1-b Stat...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the r...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write d...
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write down the transition matrix of the Markov chain 1 marks 2 marks (b) Compute the two step transition matrix of the Markov chain (c) What is the state distribution T2 for t = 2 if the initial state distribution for 2 marks t 0 is o (0.1, 0.5, 0.4)T? 3 marks (d) What is the average time...
Q.4 (1x5) marks The following diagram is a shell representation of an atom. When the atom...
Q.4 (1x5) marks The following diagram is a shell representation of an atom. When the atom is exposed to light, the electron absorbs light and undergoes excitation from ground state to excited state as shown in the diagram. ground state excited state a) What are the names of the valence shells in both ground and excited states as per the diagram? b) Write the value of Principal Quantum number (n) both for ground and excited state. c) Write the value...
Qi Consider the group (D x Q, +), where Q Q = {(a,b)|a, b E Q},...
Qi Consider the group (D x Q, +), where Q Q = {(a,b)|a, b E Q}, and where addition is defined in the usual way by (a, b) +(c,d) = (a +c, b+d). So, for instance, (,-) € QxQ, and (2, - ) + (1, 1) = (1, 1). (a) What is the identity in this group? You do not need to justify your answer. (b) What is the inverse of the element (x, y) E Q? You do not...
Problem Given the arrival time, and service time for the processes A, B, C, D, E...
Problem Given the arrival time, and service time for the processes A, B, C, D, E as below: Process A B C D E Arrival Time 0 2 4 6 8 Service Time (T.) 3 6 4 5 2 Work out the Finish Time and Turn Around Time (T.) for each of the following scheduling policies: FCFS, RR with q = 1, SJF, and SRT time Around = finish time -
Q 8 (Max Marks: 11) The records of Copytime Ltd show the following figures: a) Ordinary time earnings b) Overtime Pay c...
Q 8 (Max Marks: 11) The records of Copytime Ltd show the following figures: a) Ordinary time earnings b) Overtime Pay c) Total Employee earnings d) Medical Insurance e) Total deductions f) Net pay g) PAYG h) Charitable Contribution Showtime's total employment expense ?? $5,000 ?? $1,000 $18,000 $64,000 $15,000 ?? ?? i) Note: Copytime pays 9% superannuation & 4% payroll tax on wages & salaries. Required: Determine the missing amounts. Show calculations clearly Journalise Copytime's payroll for the month....
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI...
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI units for measurement marks) (c) State the three fundamental mechanical quantities marks) (d) Copy and complete the Physical Quantity table below. marks) Physical quantity Units Symbol Amount of substance Mol Electric current Length M Mass kg Time Second kelvin K Luminous intensity Candela A (& 2. (a) Tabulate four differences between Mass and weight. (b) State four reliable instrument for measuring the temperature of...
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI...
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI units for measurement marks) (c) State the three fundamental mechanical quantities marks) (d) Copy and complete the Physical Quantity table below. marks) Physical quantity Units Symbol Amount of substance Mol Electric current Length M Mass kg Time Second kelvin K Luminous intensity Candela A (& 2. (a) Tabulate four differences between Mass and weight. (b) State four reliable instrument for measuring the temperature of...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,W(a,f) 9,W(a,d) 10 W(b,e) 12,W(b,d) 7,W(c,d) 3 a) Draw the graph including weights. b) Given the following algorithm for Inding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) with nodes (V) and no edges Add all the edges (E) to a set S and order them...
Which of the following is not a topological ordering for the graph: A ) O f, e, d, a, c, b O f, a, b, d, e, c O e, f, a, d, c, b O f,a,c,e,d,b QUESTION 4 Which of the following is not part of the def...
Which of the following is not a topological ordering for the graph: A ) O f, e, d, a, c, b O f, a, b, d, e, c O e, f, a, d, c, b O f,a,c,e,d,b QUESTION 4 Which of the following is not part of the definition of a flow? The flow out of the source is 0. O The flow into a vertex (not the source or drain) equals the flow out of that vertex. O The...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write down the transition matrix of the Markov chain 1 marks 2 marks (b) Compute the two step transition matrix of the Markov chain (c) What is the state distribution T2 for t = 2 if the initial state distribution for 2 marks t 0 is o (0.1, 0.5, 0.4)T? 3 marks (d) What is the average time...
Q.4 (1x5) marks The following diagram is a shell representation of an atom. When the atom is exposed to light, the electron absorbs light and undergoes excitation from ground state to excited state as shown in the diagram. ground state excited state a) What are the names of the valence shells in both ground and excited states as per the diagram? b) Write the value of Principal Quantum number (n) both for ground and excited state. c) Write the value...
Qi Consider the group (D x Q, +), where Q Q = {(a,b)|a, b E Q}, and where addition is defined in the usual way by (a, b) +(c,d) = (a +c, b+d). So, for instance, (,-) € QxQ, and (2, - ) + (1, 1) = (1, 1). (a) What is the identity in this group? You do not need to justify your answer. (b) What is the inverse of the element (x, y) E Q? You do not...
Problem Given the arrival time, and service time for the processes A, B, C, D, E as below: Process A B C D E Arrival Time 0 2 4 6 8 Service Time (T.) 3 6 4 5 2 Work out the Finish Time and Turn Around Time (T.) for each of the following scheduling policies: FCFS, RR with q = 1, SJF, and SRT time Around = finish time -
Q 8 (Max Marks: 11) The records of Copytime Ltd show the following figures: a) Ordinary time earnings b) Overtime Pay c) Total Employee earnings d) Medical Insurance e) Total deductions f) Net pay g) PAYG h) Charitable Contribution Showtime's total employment expense ?? $5,000 ?? $1,000 $18,000 $64,000 $15,000 ?? ?? i) Note: Copytime pays 9% superannuation & 4% payroll tax on wages & salaries. Required: Determine the missing amounts. Show calculations clearly Journalise Copytime's payroll for the month....
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI units for measurement marks) (c) State the three fundamental mechanical quantities marks) (d) Copy and complete the Physical Quantity table below. marks) Physical quantity Units Symbol Amount of substance Mol Electric current Length M Mass kg Time Second kelvin K Luminous intensity Candela A (& 2. (a) Tabulate four differences between Mass and weight. (b) State four reliable instrument for measuring the temperature of...
1. (a) State any three characteristic of physicist. marks) (b) Explain the merits of using SI units for measurement marks) (c) State the three fundamental mechanical quantities marks) (d) Copy and complete the Physical Quantity table below. marks) Physical quantity Units Symbol Amount of substance Mol Electric current Length M Mass kg Time Second kelvin K Luminous intensity Candela A (& 2. (a) Tabulate four differences between Mass and weight. (b) State four reliable instrument for measuring the temperature of...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,W(a,f) 9,W(a,d) 10 W(b,e) 12,W(b,d) 7,W(c,d) 3 a) Draw the graph including weights. b) Given the following algorithm for Inding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) with nodes (V) and no edges Add all the edges (E) to a set S and order them...
Which of the following is not a topological ordering for the graph: A ) O f, e, d, a, c, b O f, a, b, d, e, c O e, f, a, d, c, b O f,a,c,e,d,b QUESTION 4 Which of the following is not part of the definition of a flow? The flow out of the source is 0. O The flow into a vertex (not the source or drain) equals the flow out of that vertex. O The...
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