Numerade

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Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 720 sin( x ) dx, n = 4

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Let $K = \left\{ \begin{bmatrix} a & 0 \\ 0 & b \end{bmatrix} \mid a, b \in \mathbb{Q}, ab \neq 0 \right\}$. Prove (i) K is a subgroup of GL(2, $\mathbb{Q}$). (ii) Z(K) = K. Where GL(2, $\mathbb{Q}$) is a general linear group of all 2 × 2 non-singular matrices over $\mathbb{Q}$.

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5. Use Green's Theorem to evaluate the line integral $ \int_C (2xy)dx + (x - y)dy $, where C is the path from (0,0) to (1,1) along the graph of y = x² and from (1, 1) to (0,0) along the graph of y = x oriented counterclockwise.

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9. Think about recent immigrants to the Houston area. How is immigration to Houston in the twenty-first century similar to what David Levinsky experienced in New York City in the nineteenth century? Write at least three complete sentences. 10. How is immigration to Houston in the twenty-first century DIFFERENT to what David Levinsky experienced in New York City in the nineteenth century? Write at least three complete sentences.

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42. Tissue type? 43. Cell type? 44. Protein fiber type? 42. Dense irregular collagenous C.T.

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HW 28 Fall 2016 Total Score: 15 Name: Number: You may use whatever method you wish to solve the HW. While time consuming, solving by a second method on scratch paper will confirm your answer and give good practice. All methods are complimentary-based on the same theories, and give the same answers. 1. Determine the reactions at the supports A, B, and C, then draw the shear and moment diagrams. EI is constant. 10 kip 2.5 kip/ft 6 ft 6 ft 12 ft

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Block 3 Power Supplies LESSON 3 ZENER DIODE ACTION Read each question carefully. Write the letter for the correct answer in the space provided. 1. A zener diode is a type of junction diode that is normally used in ______________. a. current regulator circuits b. voltage divider circuits c. voltage regulator circuits d. voltage multiplier circuits 2. To increase their breakdown voltage, zener diodes are connected ____________. a. back-to-back b. in series c. in parallel d. in series parallel 3. A 9 volt Zener diode regulator has an output voltage of 5.6 V. This may indicate that ______________. a. the zener diode is defective b. load current is excessive c. the zener diode is open d. load current is too low 4. Two 3.6 V zener diodes are connected back-to-back in an AC cir- cuit. The output signal ______________. a. has a maximum amplitude of 7.2 volts peak-to-peak b. cannot exceed 7.2 V peak c. will be limited to 4.2 V peak d. cannot be less than 3.6 V peak 5. In a zener diode voltage regulator circuit ______________. a. as the load current increases, zener resistance increases b. as the applied voltage increases, zener resistance in- creases c. as the load current decreases, zener resistance increases d. none of the above Copyright © 1981 by Hida Corporation 3-11

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Exercises: Parity conditions in real markets and financial markets EXERCISE 12 (Forward exchange rate) These are the following spot exchange rates: - 121.46 USD/HUF - 24.68 CNY/HUF - 77.51 PLN/HUF - 7.38 HUF/LBP The interest rates are: 9.25% (Hungary Forint); 6.15% (United States Dollar); 7.31% (China Yuan Renminbi); 4.06% (Poland Zloty); 14.53% (Lebanon Pound) Calculate the one-month forward exchange rate.

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Discuss the ideal gas law and how vou explored it in this lab Discuss the four ways you were able to change the temperature of the ideal gas in a ja in the lab. How did each part affect the temperature? Discuss what absolute zero temperature is and why we cannot observe it in the lab Discuss how you created the P-T graph and how that allowed you to extrapolate an absolute zero value.

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a) Determine the potential difference $V_{AB}$ in the circuit of Figure Q1(a). [10 Marks] 12V 10? 15? A C $V_{AB}$ 6? 4? B 16? 16?

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dave m.