Numerade

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(a) Let A be an n x n orthogonal matrix. Prove that the rows and columns of A form an orthonormal set and that $A^T = A^{-1}$. (b) Consider the subspaces $W_1$ and $W_2$ spanned by the vectors $v_1 = (1, 1, 0)^T$, $v_2 = (0, 1, 1)^T$, and $w_1 = (1, 0, 1)^T$, $w_2 = (1, 1, 1)^T$ in $R^3$. Find a vector that lies in both $W_1$ and the orthogonal complement of $W_2$. (c) Let A be a real symmetric matrix. Prove that the eigenspaces corresponding to different eigenvalues of A are orthogonal.

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Describe what it means for a baseball bat to have both angular velocity and linear velocity

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In variable costing, the cost of products manufactured is composed of only those manufacturing costs that increase or decrease as the volume of production rises or falls.

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Which of these is false? A. The daily volume of the bond market exceeds $500 billion. B. Bond sales by the Fed (or borrowing by the Fed) from the public reduces the money going to banks as they drain their savings to lend to the Fed. C. Bonds are IOUs and can be sold and resold before maturity and they typically only pay interest (yield) until maturity. D. The price of bonds goes down as interest rates fall and the opposite is true. E. If the fed buys bonds from the public (or lends more to the public), more money goes to banks.

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When a firm is experiencing diseconomies of scale, it should Multiple Choice lower its price to attract new consumers. expect its average total cost to increase if it reduces its level of production. expect its average total cost to decrease if it reduces its level of production. expect its average total cost to remain unchanged if it changes its level of production.

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Q3 (a) (i) Define angular frequency and period in AC waveform. (4 marks) (ii) Give THREE (3) conditions to compare two waveforms in AC Circuit. (3 marks) (b) Two currents and voltages expressions in an alternating circuit are given below. i(t) = 5cos(314t + 15°) A i?(t) = -15cos(314t + 45°) A v(t) = 2sin(314t + 45°) V v?(t) = -0.5sin(314t + 20°) V Find the following values: (i) Phase angle between v(t) and i(t) (2 marks) (ii) Phase angle between v?(t) and v(t) (2 marks) (iii) Phase angle between v(t) and i?(t) (2 marks) (c) For an AC circuit shown in Figure Q3(c), if v(t) = 45cos(200t + 30°) V: (i) Determine the total impedance, ZT as seen from the voltage source. (8 marks) (ii) Determine currents, ir(t) and iL(t). (4 marks) ir(t) 50mH iL(t) 2.5? 10? 2mF

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Q2. An axial pull of 55000 N is acting on a bar consisting of three lengths as shown in figure below. Take the Young's modulus of section 1 and section 3 is $2.1 \times 10^5 \frac{N}{mm^2}$, and of section 2 as $7 \times 10^6 \frac{N}{cm^2}$ Section 3 Section 2 Section 1 25 cm 35 cm 20 cm Determine (i) Stresses in each section (ii) total extension of the bar. The first and third sections are round cross section of diameter 4mm and 12 mm respectively. The second cross section is a square cross section of 12 mm. The lengths of the 3 sections are shown in the figure. (2.0 Marks)

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3) Please Subtract or Add the following Signed Numbers. Provide your solution in Binary. Show all work. 111100011001 -10101100 100000111101 -111110000111 Solution Solution

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QUESTION 25 Which of the following metals is the most reactive? cesium, mercury, magnesium, aluminum OCs OHg OMg OA1

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Q1. LAB-05: TCPdump: Wired Network Traffic Sniffing [5-Points] 1.1. Explain how TCP Three-way Handshake works in TCP connection establishment? (2-Points) 1.2. Explain how to terminate the TCP connection [Hint: There are two different techniques]? (2-Points) 1.3. What is the "promiscuous mode" and give an example (1-Points)

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russell s.