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a. Two parallel copper conductors each of length 155 cm, separated by 2.5mm, laid in nickel. ($\mu_r$ = 100 ) and both are carrying current of 2.5mA. Find the value and nature of force between them if: i. They carry current in same direction; and ii. They carry current in opposite direction b. Two inductors have common magnetic circuit with following data: Area of cross sections of 5cm$^2$ and 3cm$^2$ respectively. Number of turns of 950 and 1200 respectively. Linkage of flux of 35%. Core permeability of 35 and 45 respectively; and Lengths of 0.8m and 0.4m respectively. Calculate total inductance if. i. Both are connected in series aiding; and if ii. Both are connected in series of opposing. (5 Marks) (5 Marks) (5 Marks) (5 Marks)

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Question 2 of 8 "Trusted" databases allow the execution of what type of objects? Queries Reports Macros Forms

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Evaluating a Function Evaluate the difference quotient and simplify the result. See Example 4. $f(x) = x^2 - 3x + 6$ $\frac{f(x + \Delta x) - f(x)}{\Delta x}$ $\Delta x \neq 0$

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2. You invest $15,000 at an annual interest rate of 8.5%, compounded monthly. How long will it take for you to become a millionaire? State the answer in years, rounded to 2 decimal places.

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Proof: Let's assume that F is an ordered field and a is an element of F. We want to prove that a^2 is greater than or equal to 0. To begin, we know that in an ordered field, the product of two positive numbers is also positive. Therefore, a * a is positive since a is not equal to 0 (as 0 * 0 = 0). Now, let's consider the case where a is negative. In an ordered field, the product of a negative number and a positive number is negative. Since a is negative and a is not equal to 0, a * a is negative. Lastly, if a is equal to 0, then a * a is equal to 0 as well. In all cases, a * a is either positive or equal to 0. Therefore, we can conclude that a^2 is greater than or equal to 0 for every a in F.

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3. Is each of these ordinary differential equations linear? If so, is it homogeneous? (a) \ddot{x} + \dot{x} = -x + t (b) \ddot{x} + \dot{x} = x^2 + t (c) \ddot{x}\dot{x} = x + t (d) \ddot{x} + \dot{x} = xt

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ECE 85 Fall 2016 (Final Exam) Question 10: (10 points) For the ripple counter shown in Figure 10, show the complete timing diagram for eight clock pulses, showing the clock, $Q_0$, and $Q_1$ waveforms.

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7 = 120 Steel with E=30x10$^6$ psi $\nu$ = 0.30 P = 120 lb Pin Support at Node A roller Support at Node C L = 48 in • Displacements at each of the nodes using Castigliano's theorem

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The failure time of 60 component is recorded: \begin{itemize} \item Plot the PDF graph \item Plot the CDF graph for both $R(t)$ and $F(t)$ \item Plot the Hazard Rate graph \item What is the reliability of the component up to 900 hours? \end{itemize} \begin{tabular}{|c|c|} \hline Time & No. of Failure \\ \hline 0 & 0 \\ 200 & 1 \\ 400 & 5 \\ 600 & 13 \\ 800 & 22 \\ 1000 & 14 \\ 1200 & 4 \\ 1400 & 1 \\ \hline \end{tabular}

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Chapter 4 Problem 4.146 Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. suppose that $w_1 = 3 \text{ kN/m}$ and $w_2 = 7.5 \text{ kN/m}$. (Figure 1) Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. $F_R = 31.5 \text{ kN}$ Correct Figure Part B Determine the couple moment. Express your answer to three significant figures and include the appropriate units. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise. $(M_R)_A = $

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