Question Question 3: A 6.6 kV, 3-phase, star-connected turbo-alternator of synchronous reactance 0.5 ohm/phase is applying 86 MVA at 0.8 lagging p.f. to a large system. If the steam supply is suddenly cut off, explain what takes place and determine the current the machine will then carry. Neglect losses.

Problem-2 (20). In the figure, the denominator of the transfer function of the closed control system for the root- loci curve is given as D ($) = 53 +252 + (6 +K) s + (3K + 1). Determine the PID controller transfer function by Ziegler-Nichols method. Imaginary axis Root LOCUS 00 1 1 S= 4.3211 i OK 9x dentem Real axis S= -4.3211 i 00 -10 -05 3 RealAxis 0 0.5 b) For a closed-loop control system, a controller transfer function is obtained by In a closed control system, PID controller design was obtained by Ziegler-Nichols in the following form. K G(S)=K, + + 4.2 s S When the system is marginally stable, it was observed that this system produced a harmonic response with a constant amplitude of 6 r/s for the step input. Find the critical gain value of the system Kcr?

Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,940 hours and the total estimated manufacturing overhead was $530,948. At the end of the year, actual direct labor-hours for the year were 21,850 hours and the actual manufacturing overhead for the year was $530,948. Overhead at the end of the year was: (Round your Intermediate calculations to 2 decimal places.) Multiple Choice $2,228 underapplied $2,178 underapplied $2,178 overapplied $2,228 overapplied

For the following exercises, find the surface area of the volume generated when the following curves revolve around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. 199. y = x2 from x = 0 to x = 2

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4

C. Which of the following organisms are most closely related? Are any two the same species? On what did you base your answer? 2.0 A B D C Rod Rod Coccus Rod + + Fermentative Oxidative Fermentative Fermentative Characteristics Morphology Gram Reaction Glucose utilization Cytochrome oxidase GC moles % Present Present Absent Absent 48-52 23-40 50-54 49-53

For this week's discussion, you are asked to generate a continuous and differentiable function f (2) with the following properties: • f(x) is decreasing at x = -6 • f(x) has a local minimum at x = -3 • f (x) has a local maximum at x = 3 Hints: • Use calculus! • Before specifying a function f (2), first determine requirements for its derivative f' (2). For example, one of the requirements is that f' (-3) = 0. • If you want to find a function g(x) such that g(-9) = 0 and g(8) = 0, then you could try g(x) = (x + 9) (x – 8). • If you have a possible function for f' (2), then use the techniques in Indefinite Integrals this Module to try a possible f (x). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f(2) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the x-axis go from -6 to 6. f(x) = How Did I Do? Try Another