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1. If more electric field lines leave a Gaussian surface than they enter, what can you conclude about the net charge enclosed by that surface? 2. You may have heard that one of the safest places during an electrical storm is inside a car. Why is this?

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3. For the function $y = \cos x$, over the interval $0^\circ$ to $720^\circ$, determine the values of $x$ that satisfy the following conditions. (1 mark each) a) $\cos x = 1$ b) $\cos x = \frac{1}{2}$

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The switch in the circuit shown in Figure 3 has been closed for a long time. At $t = 0$, the switch is open. 1) Find the initial value and final value of current $i_L$. 2) Write the expression of $i_L(t)$ for $t \ge 0$. 3) Sketch $i_L(t)$ for $t \ge 0$

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Question 19 Extra Credit A friend looks at the graph of $y = 2x^2$ and observes that if you start at the origin, the graph increases whether you go to the right or the left. He concludes that the graph is increasing everywhere. Using derivatives, explain why this reasoning is incorrect. Be sure to determine where the function is increasing and explain what your friend did wrong.

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Last year a firm had sales of $300,000, costs of $250,000, and paid out $8,000 in dividends. On the pro forma income statement, sales and costs are projected to be $350,000 and $270,000 respectively. With a constant dividend payout policy, what should additions to retained earnings be on the pro forma income statement? $45,360 $12,800 $49,000 $67,200 $72,000

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Part A A car traveling 96 km/h is 260 m behind a truck traveling 80 km/h. How long will it take the car to reach the truck? Express your answer using two significant figures. t = ? s

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\ddot{x} - y + 3x - 3y = 0 \newline \ddot{x} - 3y + 6x - 9y = 0 \newline Where \( t = 0, x = 3, y = 0 \)

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7. Find the equivalent impedance of the following load circuits at f = 1 GHz: (a) RLD = 50 ?, CLD = 10 µF CLD (b) RLD = 50 ?, CLD = 10 µF CLD RLD RLD (c) RLD = 50 ?, LLD = 2 µH (d) RLD = 50 ?, LLD = 2 µH Chris G. Bartone, Ph.D., P.E., all rights reserved, 2013-2021 LLD RLD LLD RLD 8. For a generator with an output real impedance of Rg =50 ?, design a match circuit to conjugate match the generator to each of the loads identified in 7 above. Identify your answers as 8(a), 8(b), ... 8(d). Rg Vg Zm ZLD

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Exercise 1 - Word printing in box Write a program which will ask from the user to type a word and it will print the word in capital letters inside a box of *. For example, the word "Hello" should be displayed as: * * * * * * * * * * * * * * * H * E * L * L * O * * * * * * * * * * * * * * * *

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Exercise 1 Write a C++ program that asks the user to enter integers then stores them into a vector. The program should stop reading once the user enters a 0. The program should then print all the positive inters, then all the even integers. Sample run: Microsoft Visual Studio Debug Console Enter a stream of integers (enter 0 to stop): 9 -1 200 30 -39 50 -40 78 199 0 The positive numbers are: 9 200 30 50 78 199 The even numbers are: 200 30 50 -40 78

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