Question R Design an inverting op amp to have a voltage gain of - 5 with an R: = 2 kYou must ensure that the output does not exceed +12 V. a. Specify the value of R, and the supply voltages =VCC R, •+Vcc 0. -VCC b. For this circuit, what is the range of the source voltage, V., to ensure that the op amp remains linear?

2. For a 5-bus power system, bus 1 is the swing bus with |VII=1.05,01=0°; bus 2 is a PV- bus with |V2| and injected real power PG2; bus 3, 4, and 5 are PQ-bus with real and reactive load power P23 & Qu3, P4 & QUA, and Pus & Qus, respectively. Each line has the same reactance of 0.01 p.u., and line resistances are neglected. N 3 5 a) Determine system bus admittance matrix Y bus b) If the power flow is written in polar form, determine the dimension of the Jacobian matrix for power flow analysis and illustrate what are the variables to be solved. c) Write the power flow equations for the real power at bus 2, real and reactive power at bus 3. d) Write down the mismatch equation(s) that are required in the solution procedure. OP e) Write the elements of Jacobian matrix and 8Q3 , respectively. alva1 де, 1) Write down the update formula for this system in terms of J and the solution vector. g) Write the DC power flow equations in the vector/matrix form and write the equations to solve branch flows. (use the number in Ybus obtained from 1s question) h) Write the equation for Fast Decoupled Power Flow and explain how it improves full N-R algorithm

Steam at a temperature of 300°C has a specific volume of 0.09765 m3/kg, determine the pressure, specific internal energy, enthalpy, and entropy.

Using AON analysis, find the critical path, the slack times, and the expected completion time. 12. The Denver Iron & Steel Company is expanding its operations to include a new drive-in weigh station. The weigh station will be a heated/air-conditioned building with a large floor and small office. The large room will have the scales, a 15-foot counter, and several display cases for its equipment. Before erection of the building, the project manager evaluated the project using AON analysis. The activities with their corresponding times were recorded in Table A. Times Optimistic Most Likely Pessimistic Preceding Tasles Activity Lay foundation Dig hole for scale Insert scale bases Erect frame Complete building Insert scales Insert display cases Put in office equipment Finishing touches 8,6

Using AON analysis, find the critical path, the slack times, and the expected completion time. 12. The Denver Iron & Steel Company is expanding its operations to include a new drive-in weigh station. The weigh station will be a heated/air-conditioned building with a large floor and small office. The large room will have the scales, a 15-foot counter, and several display cases for its equipment. Before erection of the building, the project manager evaluated the project using AON analysis. The activities with their corresponding times were recorded in Table A. Times Optimistic Most Likely Pessimistic Preceding Tasles Activity Lay foundation Dig hole for scale Insert scale bases Erect frame Complete building Insert scales Insert display cases Put in office equipment Finishing touches 8,6

(1 point) Use the Comparison Theorem to determine whether the following integral is convergent or divergent. ? 1.1₁ = 720 dx x + (1 point) Use the Comparison Theorem to determine whether the following integral is convergent or divergent. ? 1.1₁ = 720 dx x +

Q4. The following chart was prepared at the beginning of a HRM (Human Resource Management) crash hiring project. The project begins with two activities: Assemble interview team (A) and Budget resources (B). The duration, in days, follows the letter of each activity. (a) What is the critical path? (b) Which activities should be monitored most closely? At the end of the first week, it was noted that activity A was completed in 2.5 days, but activity B required 4.5 days. (c) What impact does this have on the project? Are the same activities critical? C1 12 A4 D5 G3 End Start B3 E 4 H5 J1 F1