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Assignment 2.2 Directions: Complete the following assignment on graph paper. For each function, find the stretching factor, period, phase shift, midline, and graph one period. Label the axis, important points, and vertical asymptotes. 1) $f(x) = 3 \csc(x + \pi) - 2$ 2) $g(x) = -2 \csc(\frac{\pi}{2}x - \frac{\pi}{2}) + 3$ 3) $f(x) = \sec(x + \frac{\pi}{2}) + 2$ 4) $g(x) = 4 \sec(x - \frac{\pi}{2}) - 4$ For each function find the stretching factor, period, and phase shift. 5) $f(x) = -3 \csc (\frac{1}{2}x - \pi) - 2$ 6) $f(x) = 3 \sec(2\pi x)$ 7) $g(x) = 7 \sec(3x - 4) - 7$

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Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of €1,000, 27 years to maturity, and a coupon rate of 3.6 percent paid annually. If the yield to maturity is 3.2 percent, what is the current price of the bond in euros?Input area:Settlement date1/1/2020 Maturity date1/1/2047 Coupon rate3.60% Coupons per year1 Redemption value (% of par)100 Yield to maturity3.20% Par value€ 1,000 (Use cells A6 to B12 from the given information to complete this question. You must use the built-in Excel function to answer this question. Leave the “Basis” input blank in the function. You may enter a constant as a hard coded value.)Output area:Price (% of par) Price What are the prices of these bonds today? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. What do you expect the prices of these bonds to be in one year? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. What do you expect the prices of these bonds to be in three years? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. What do you expect the prices of these bonds to be in eight years? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. What do you expect the prices of these bonds to be in 12 years? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. What do you expect the prices of these bonds to be in 13 years? Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.

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In which region of the United States are poverty rates the highest? a. The Northeast b. The South and West c. The Midwest d. The New England states,

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Which of the following situations would lead to a decrease in MAP? Multiple Choice Participation in a spinning class Participation in a 3-mile fun run Practicing silent meditation for 20 minutes All of the choices would lead to a decrease in MAP.

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Answer: (x = 6)

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What is the difference between an element and a compound? An element is a pure substance which cannot be decomposed into simpler substances. A compound is composed of two or more elements in variable proportions. An element is a pure substance which cannot be decomposed into simpler substances. A compound is composed of two or more elements in fixed proportions. A compound is a pure substance which cannot be decomposed into simpler substances. An element is composed of two or more compounds in variable proportions. A compound is a pure substance which cannot be decomposed into simpler substances. An element is composed of two or more compounds in fixed proportions.

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Sims company reports beginning raw materials inventory of $1,000 and ending raw mat inventory of $1,400. Assume the company purchased $7,600 of raw materialsand used $7,200 of raw materials during the year. Compute raw materials inventory turnover and the number of days' sales in raw materials inventory. Complete this question by entering your answers in the tabs below. Raw Materials Days Sales In Inventory Raw Materials turnover Inventory Compute raw materials inventory turnover. Numerator: Raw Materials Inventory turnover Denominator: Raw Materials inventory turnover Raw materials inventory turnover Raw Materials Inventory turnover Days Sales In Raw Materials Inventory >

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8. Which are the factors needed for price discrimination to work. I. Prevent Resale II. Monopoly market structure III. Segment the market by elasticities IV. Total price making ability V. Subdivide the market a. I, III and V b. I, II and IV c. II, IV and V d. III, IV and V 9. What is the level of barriers in Monopolistic Competition? a. No b. Low c. High d. Total 10. Which statements are true about how a cartel operates? I. Once the price is set, quotas are then set for each producer II. Cheating is uncommon due the increased profit incentive that a cartel generates III. If cheating occurs it is because of low cost producers lowering their prices a. I and II b. I and III c. II and III d. I, II and III Use the graph to help answer the next question. p d q 11. The kink in the demand curve above is due to: I. If the producer raises the price it is fearful that competitors will follow II. If the producer raises the price it is fearful that competitors will not follow III. If the producer lowers the price it is fearful that competitors will not follow IV. If the producer lowers the price it is fearful that competitors will follow a. I and III b. I and IV c. II and III d. II and IV

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Problem 1: Faraday's Law states that a change in magnetic flux through a closed loop produces an EMF (Voltage). To the right, there is a picture of a loop of wire sitting in a magnetic field. a. What three things could be changed in order to produce a change in magnetic flux? b. Assume the magnetic field decreases as a function of time such that B_r = B_e * C, where B and C are constants. Write an expression for the change in magnetic flux as a function of time. c. If the loop has resistance R, what is the magnitude of current induced I in the loop? B-field (Exists everywhere and is in the same direction in all space) Problem 2: Lenz's law lays out the direction of induced currents and magnetic fields. If the magnetic flux changes, a magnetic field will be induced in a direction that counters the change in flux. There are basically three steps to figuring out what direction things go: 1. Determine how the flux is changing, increasing or decreasing. 2. Orient an induced magnetic field in a direction to counter the change. 3. Apply the second right-hand rule to determine the direction of the current in the loop that is induced as a result. Look again at the picture above. What are the directions of the induced magnetic field (B) and induced current when: a. B(1) = B_e b. B-field = B_e c. B_t = -B_e Bar with mass M, dB_t = -B_e, and resistance D. Force F (constant magnitude) Problem 3: We can manipulate all sorts of things in order to induce an EMF. In the picture to the right, a set of frictionless, resistance-less rails are set up in a permanent magnetic field (magnitude B). On the rails, a bar of mass M and resistance D is placed at the position shown. It is free to slide left and right on the rails without friction. A constant force (magnitude F) is applied to the bar. It is moving at a constant velocity v. a. Is the magnetic flux increasing or decreasing? In what direction? b. What direction will the induced magnetic field (B_n) point? c. What is the direction of the induced EMF/Current in the loop? d. What is the magnitude of the induced current (I)? e. What direction will B exert a Lorentz force on I in the bar? f. For the bar to be moving at a constant velocity v, what must the magnitude of F be?

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3. In Total Hip Replacement surgery, the femur head is replaced with a metal component, usually a Co-Cr alloy, and the Acetubular cup is replaced with Ultra High Molecular Weight Polyethylene (UHMWP). (a) Investigate this material and give reasons for the suitability of UHMWP for this application in comparison to a metal cup. (b) Investigate the advantage of UHMWP over low-density polyethylene. (20 points)

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robert y.