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matthew buchanan

matthew b.

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(b) Write the following polynomials in order of increasing size: $$x^2, -x^3, 5, x+2, 3-x.$$

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Find the interval of convergence for the power series \sum_(n=1)^(\infty ) (n^(4)x^(3n))/(5^(3n)) interval of convergence = (Enter your answer as an interval: thus, if the interval of convergence were , you would enter (-3,5]. Use Inf for any endpoint at infinity.)

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A point charge of 4.2 μC is placed at the origin of a coordinate system, and another charge of -1.9μC is placed on the x-axis at x = 0.25. What if both charges are positive; that is, what if the second charge is 1.9 μC?

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Under the fourth main point of Federalist Number 14, what is the third of the reasons given for having senators being fewer and number and serving longer and duration than members of the House of Representatives? A Having two legislative houses will reduce the possibility of this governmental branch becoming corrupted. B Having two legislative houses will reduce the possibility of this governmental branch yielding to the impulse of sudden and violent passions or being seduced by factious leaders. C Senators who serve for longer terms will gain experience at governing, which will improve the quality of the laws passed. D Having a senate in which members serve for longer terms will promote stability, which fosters sound governance.

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11. Water \( \left(\rho=624 \mathrm{lb} . / \mathrm{ft}^{3}\right) \) is flowing through a pipe. A pitta-static gage registers 3.0 inches of mercury. What is the velocity of the water in the pipe? Note density of mercury is \( 8486 \mathrm{lbm} / \mathrm{ft}^{3} \) A. \( 14.8 \mathrm{ft} / \mathrm{s} \) C. \( 8.2 \mathrm{ft} / \mathrm{s} \) B. \( 11.4 \mathrm{ft} / \mathrm{s} \) D. \( 7.5 \mathrm{ft} / \mathrm{s} \)

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_(_________________________ occurs when a random event alters allele frequencies in a population. Gene flow Speciation Mutation Genetic drift)

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Solve the inequality. Write the solution set in interval notation if possible. Simplify your answer if necessary. $-4x^6 + 21x^5 - 20x^4 \le 0$

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in python spyder Your program will again approximate the area under the function using either a single rectangle or a single trapezoid. However, your program should do this in a user-defined function that takes three inputs and returns one output: Input: the left bound (-1 in the example). No default value. Input: the right bound (2 in the example). No default value. Input: the mode (either "Rectangle" or "Trapezoid"). The default value is "Rectangle." Output: the area Your function does not need a try-except clause. However, the program should not error should a mode that is different from "Rectangle" or "Trapezoid" be provided. The main program (i.e., outside of the function) one-by-one asks the user for these three inputs and calls the user-defined function with them. The output value is returned to the main program when it is finally printed. Here are three example runs: Input the left bound: -1 Input the right bound: 2 Enter the mode, either 'Rectangle' or 'Trapezoid': Rectangle 18.0 ------------------------------------------- Input the left bound: -1 Input the right bound: 2 Enter the mode, either 'Rectangle' or 'Trapezoid': Trapezoid 13.5 ----------------------------------------------- Input the left bound: -1 Input the right bound: 2 Enter the mode, either 'Rectangle' or 'Trapezoid': rectangle Warning: Mode not recognized. Returning zero area. 0

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Consider an exchange economy with 2 consumers (A and B) and 2 goods (x1 and x2). Consumer A has 8 units of x1 and 5 units of x2, while Consumer B has 4 units of x1 and 10 units of x2. Consumer A's utility function is and Consumer B's utility function is Then the endowment is Pareto optimal. Question 2 options: True False

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Use the supply and demand schedules below to answer the following questions: Price Quantity Demanded Quantity Supplied $\ 5$ 75 35 8 65 45 11 55 55 14 45 65 17 35 75 Instructions: Enter your answers as a whole number. a. What is the market equilibrium price and quantity? Market equilibrium price: $ Market equilibrium quantity: units b. What is the market price if there is a shortage of 20 units? $\ c. At a price of $\ 14$, the market experiences a (Click to select) of units.

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