Numerade

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Explain the following affine transformations: 1. homothety h of factor 5 with respect to the point C(6;2) and f = h o h 2. rotation by 45° then scaling by factor $\sqrt{2}$, both with respect to C ($x_0$, $y_0$) 3. scaling of factor 5 around A (3,1) followed by a rotation of 90° around B (1;2); find the fixed point of this transformation 4. change of scale which sends the unit square to the rectangle of vertices A (0;0), B (5;0), C (5;3) and D(0;3); also explain the reciprocal transformation 5. affinity which sends O (0;0), $E_1$ (0;1), $E_2$ (0;1), on O' (4;5), $E'_1$(-1;2), resp. $E'_2$(3;0)

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find domain of f find $f^{-1}$ & its Domain. f(x)=\sqrt{3-e^{2x}}

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A) Semantic B) Episodic C) Procedural D) Prospective E) Emotional _____ Nostalgia (when you miss a person or place from the past)

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The following bar graph, which shows math SAT scores in the U.S. as a function of household income, was originally published by the New York Times in 2009 and highlighted the fact that students in wealthy families seemed to derive an advantage in some standardized tests. Math SAT 600 500 457 475 497 512 528 538 542 550 554 400 300 200 100 0-20 40-60 80-100 120-140 160-200 Family income ($1,000) These data can be modeled by $S(x) = 573 - 133(0.987)^x$, where $S(x)$ is the average math SAT score of students whose household income is $x$ thousand dollars per year. Calculate $\lim_{x \to \infty} S(x)$. (If an answer does not exist, enter DNE.) Interpret the answer. Students whose parents earn an exceptionally large income score an average of on the SAT math test.

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3. If I was evaluating a $1,000 par 5% coupon bond with 25 years remaining till maturity and it was available at $1,100, what is my YTM? n 25 pmt FV 1,000 PV 1,100 1 (YTM) 4. I have a $1000 par 5% coupon bond maturing in 3 years, all $1,000 principal due at maturity, in a 2% interest rate environment. What is the duration? Year 1 2 3 payments PV weight

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Consider peanut butter as a normal good and answer the questions of what would happen if a decrease in income occured? The quantity of jelly consumed would also decrease. It would cause the quantity consumed of peanut butter to remain the same. It would cause the quantity consumed of peanut butter to decrease. It would cause the quantity consumed of peanut butter to increase.

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Question 4 (5 points) The assembly department had beginning work in process of 15,000 units, ending work in process of 24,000 units and units transferred out of 54,000 units. What was the number of units started or transferred in?

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**In Java Please** write a GUI application that hosts the Person hierarchy. This will be a console application that performs the following tasks: Give the user a chance to load an existing file On load, list the elements in the file **(just use the toString method)** Give the user a chance to add new items to the file The user gets to choose what kind of Person to add The program should then prompt for the input data After every new item is added, list the current elements Save the file If a file was loaded, use that file name If this is a new file, prompt the user for the file name For your screen shot, perform the following actions; Start the program, but don't load a file (you don't have one yet) Create five objects in the Person hierarchy (at least one of each type) Save your work Close the application Open the application Open the saved file Show that the five Persons are loaded Add three more (one of each type) Close the application Open the program and show that seven are now listed.

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To determine if $\int_{1}^{\infty} \frac{1}{x^2 + \sqrt{x}} dx$ converges or diverges, it would be useful to compare the integrand to $\frac{1}{\sqrt{x}}$ Select one: True False

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Find the angle between 0° and 360° that is coterminal with a -1746° angle.

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dale l.