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In an examination, Ravi scores 4 marks for every correct answer and loses one mark for every wrong answer. if he answers 60 questions in all and gets 150 marks, find the number of questions he answered correctly? a) 48 b) 38 c) 42 d) none of these e) Answer not known

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The partial fraction decomposition of \frac{23x - 32}{6x^2 - 13x - 5} can be written in the form of \frac{f(x)}{3x + 1} + \frac{g(x)}{2x - 5}, where \newline f(x) = \newline g(x) =

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2. In the circuit in figure 2 calculate $V_1$ & $V_2$.

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Under assumption that input voltage Vi has the amplitude of 1V calculate input current I to the circuit presented in Figure 1 assuming R=1k? and C=10 µF. Using equations below obtain an amplitude ratio of the voltages Vi /V0 and a phase shift ? between them at 50 Hz and 5MHz. What theoretically you can conclude about RC circuit? $\frac{V_o}{V_i} = \frac{1}{R + \frac{1}{j\omega C}} = \frac{1}{1 + j\omega RC} = \frac{1}{\sqrt{1 + (\omega RC)^2}} \angle -tan^{-1}(\omega RC)$ $V_o \text{ Laggs } V_i \text{ by } \theta = tan^{-1}(\omega RC)$ Under assumption that input voltage Vi has the amplitude of 1V calculate input current I to the circuit presented in Figure 2 assuming R=1k? and C=10 µF. Using equations below obtain the amplitude ratio of the voltages Vi /V0 and the phase shift ? between them at 50 Hz and 5MHz. What theoretically you can conclude about CR circuit? $\frac{V_o}{V_i} = \frac{R}{R + jX_c} = \frac{R}{\sqrt{R^2 + X_c^2}} \angle tan^{-1}(\frac{X_c}{R}), \quad X_c = -\frac{1}{\omega C}$ $V_o \text{ Leads } V_i \text{ by } \theta = tan^{-1}(\frac{X_c}{R})$ Phase of $V_i$ has been changed by $\theta = tan^{-1}(\frac{X_c}{R})$

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2. Write a JavaScript program to add a behavior to a web page so that it will change the existing default image based on a value entered by the user among three different choices (coffee, tea, water). You have to add one image (default must be question mark image). If user entered any value out of the choices, you must alert a message. Below are examples of the expected output: Blackboard Learn College of Applied.. Apps Mobile Application.. Click on the image to change it! ? Click on the image to change it! This page says Please enter one of the following: Water, Coffee or lea ? OK Cancel !!!Apps Mobile Application... Blackboard Learn College of Applied... This page says Click on the image to change it! ? Apps Mobile Application.. Blackboard Learn College of Applied... Click on the image to change it! ? Please enter one of the following: Water, Coffee or Tea juice ? OK Cancel This page says Your choice not available!! OK

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1. A salient-pole generator is rated at 20 MVA, 24 kV and has a direct-axis subtransient reactance of 0.25 pu. The negative- and zero-sequence reactances are 0.35 and 0.10 pu. The generator neutral is solidly grounded. With the generator operating unloaded at rated voltage with $E_{an} = 1.0\angle0^\circ$ pu, a single-line-ground fault occurs at the machine terminals on phase a. Determine the subtransient current in the generator and the voltages to ground for subtransient conditions due to the fault. (2064 A; $V_a = 0\angle0^\circ$ pu, $V_b = 1.013\angle-102.3^\circ$ pu, $V_c = 1.013\angle102.3^\circ$ pu)

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A steel rod 12 mm in diameter and 50 mm in length is loaded by an external force of 25,000 Newton. The modulus of steel is 210 GPa and Poisson's ratio is 0.3. Determine the final length and the final diameter of the rod. Assume all deformations are purely elastic.

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1.- ¿Cuál es el perímetro de un cuadrado de 6 cm

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9. Graph each relation. a) $y \le -3x - 5$

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The volume of this cone is 150 cm³. Find the radius, r. Give your answer rounded to 3 SF. 6cm The diagram is not drawn to scale. r = cm

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