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Problem 5: Find out whether the given two matrices A and B are similar matrices. $A = \frac{1}{2}\begin{bmatrix} 3 & 1 \\ -1 & 5 \end{bmatrix}$, $B = \begin{bmatrix} 2 & 0 \\ 0 & 2 \end{bmatrix}$ Answer:

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Select all of the following statements that are true about transcription elongation. Question 17 options: Elongation takes place in a 5' to 3' direction. In most RNA polymerases, the sigma factor is released before transcription elongation. Rho protein keeps the RNA polymerase associated with the transcription bubble throughout elongation. Elongation continues indefinitely across the entire template DNA strand once it begins.

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which of the word in the following sentence is incorrect my son has lost tooths already

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An adult child who takes care of older parents—shopping and cooking for them, taking them to the doctor, and so on—is an example of Multiple Choice boundary ambiguity a private good a public good voluntary kinship

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What is the main difference between the "short-run cost" and the "long-run cost" graphs? Multiple Choice Short-run costs last one year or less and long-run costs last longer than one year. In the short-run scenario firms only have time to cut one cost factor (i.e. labor or materials) but in the long-run scenario the firm's management can review and make decisions on all cost factors. There is no difference between these two concepts. Short-run costs are only related to labor costs and long-run costs are all other costs.

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Texts: all please (26) Obtain E^2 in the diagram below. A = 9109 Nm^2/C^2 (a) 18 N/C (b) 3.94 * 10^5 N (c) -1.81 * 10^5 N/C (d) 1.81 * 10^5 N/C (e) 1.08 * 10^15 N/C (27) An ABUAD student intends to design a parallel plate capacitor of capacitance 35.4 pF using plates of area 2.10 * 10^-2 m^2. What should be the spacing of the plate of the capacitor o = 8.85 * 10^-12 C^2/Nm^2 (a) 5 mm (b) 6.25 m (c) 0.5 mm (d) 0.1 m (e) 15 um (12) The amount of charge that passes through the filament of a certain light bulb in 2 s is 1.67 Coulomb. Obtain the current in the light bulb and the number of electrons N that pass through the filament in Is. (a) I = 3.34 A, N = 4.82 * 10^-18 electrons (b) I = 3.34 A, N = 5.22 * 10^-18 electrons (c) I = 0.84 A, N = 5.22 * 10^18 electrons (d) I = 1.2 A, N = 5.22 * 10^-18 electrons (e) I = 0.84 C, N = 5.22 * 10^18 V (29) A wire of 1 mm diameter carries a current of 20 mA. What is the current density in the wire? (a) 2.55 * 10^7 A/m^2 (b) 2.55 * 10^4 A/m^2 (c) 2.01 * 10^-6 A/m^2 (d) 20.1 * 10^-6 A/m^2 (e) 25.5 * 10^4 A/m^2 (30) The resistance of a 5 meter copper wire is 0.5 ohm. If the diameter of the wire is 1 mm, determine its specific resistance. (a) 1.13 * 10^-1 ohm.m (b) 1.13 * 10^-3 ohm.m (c) 7.58 * 10^-7 ohm.m (d) 1.59 * 10^-8 ohm.m (e) 7.85 * 10^-8 ohm.m (31) Find the equivalent resistance which can be obtained by combining three 100 ohm resistors in parallel. (a) 300 ohm (b) 33.30 ohm (c) 150 ohm (d) 66.70 ohm (e) 3.33 ohm (32) The conductivity of a conductor is a measure of the ease with which current will flow through a substance and is the reciprocal of the resistance. (a) Conductance, current (b) Resistivity, current (c) Potential difference, voltage (d) Conductance, voltage (e) Conductance, voltage (33) You are issued a PHCN bill which reads 25.5 kWh. What is your energy consumption in Joules? (a) 3.61 * 10^6 J (b) 3.61 * 10^-6 J (c) 9.01 * 10^18 J (d) 9.01 * 10^-18 J (e) 3.61 * 10^8 J

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Use the RK 4th Order Method. Given that $y_{n+1} = y_n + \frac{h}{6}(k_1 + 2k_2 + 2k_3 + k_4)$ $k_1 = f(x_n, y_n)$ $k_2 = f(x_n + \frac{h}{2}, y_n + \frac{h}{2}k_1)$ $k_3 = f(x_n + \frac{h}{2}, y_n + \frac{h}{2}k_2)$ $k_4 = f(x_n + h, y_n + k_3)$ You are trying to approximate y(0.5) when $\frac{dy}{dx} = 2x + 3y$ when $y_0 = 0$ and $x_0 = 0$, and you have a step value of 0.1. Assume you will fill in the cell and then drag the equation Column What do you type into C2?

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2.25 Solve Laplace's equation, $\nabla^2 u = 0$ $0 \leq x \leq \pi$ $0 \leq y \leq \pi$ subject to boundary conditions $u(x, 0) = \sin x + 2 \sin 2x$ $u(\pi, y) = 0$ $u(x, \pi) = 0$ $u(0, y) = 0$

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Texts: 1 - Calculating first-order partial derivatives 2 - Calculating second-order partial derivatives. Find all the second-order partial derivatives for the following PART I. Calculating First Order Partial Derivatives 1. f(x, y) = 2x^2 - 3y - 4 2. f(x, y) = x - xy + y 3. f(x, y) = x - y + 2 4. f(x, y) = 5xy - 7x - y^2 + 3x - 6y + 2 5. f(x, y) = xy - 1 6. f(x, y) = 2x - 3y 7. f(x, y) = âˆš(x + y) 8. f(x, y) = x^3 + y/2/3 9. f(x, y) = 1/x + y 10. f(x, y) = x/(x + y) Part II. Calculating Second Order Partial Derivatives. Find all the second-order partial derivatives for the following 1. fxy = x + y + xy 2. fxy = sin(xy) 3. g(x, y) = xy + cos(y) + ysin(x) 4. h(x, y) = xe + y + 1 5. r(x, y) = 1/(nx + y)

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Question 72 of 85 > The macroeconomic case for increased government spending is strongest when: the government faces some immediate emergency. national infrastructure is significantly depreciated. economic performance is robust. private spending is strong.

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