Mathematics 1. (10 pts) Show that a) hsi E s; r2 E D4 but hsi 5 D4: b) hsi ‘ Z2 and s; r2 ‘ Z2 Z2 (V4 ‘ Z2 Z2 is called the Kleinís group): 2. (10 pts) Let H be a subgroup of a group G. DeÖne NG (H) ñthe normalizer of H […]

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Mathematics 1. (20 pts) Using the deÖnition of Riemann integral Önd the integrals of the following functions a) f : [0; 1] ! R; f (x) =  1 if x 2 [0; 1] n 1 2 1 if x = 1 2 b) f : [0; 1] ! R; f (x) =  1 […]

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Mathematics 1. Graduate Record Exam scores for the psychology exam have a mean of 592 and a standard deviation of 1 a) what proportion of the test takers would have scored a 650 or above? b)what proportion of the test takers would have scored a 700 or above? c) what proportion of the test takers […]

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Calculus 1).Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. F(x)=4+3x-3x^2; [0,2] The absolute maximum value is __ at x=____ (Round to two decimal places as needed. Use a comma to separate answers as needed.) 2. 3x^3-3x^2-3x+5; [-1,2] The absolute maximum value […]

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Mathematics Conduct research to locate a recent business problem (within the past 5 years) or utilize an issue that occurred in a company you are/were employed in. Apply the concepts of the course to the issue- what steps would you take to determine the issue, the data, hypotheses, methods for testing the hypotheses, interpretation of […]

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Solve for x & y 1. Solve the system for x and y 2x + 3y= 4 9x – 2y= -13 2. Graph the system x>=0, y>=0 5x+8y<=40 3x+y<=9 3. In the following linear program, State what you are letting x and y be Give the objective function Write the constraints as linear inequalities Show […]

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Mathematics Exercise 1: Introduction: In the twenty-first century, mathematics education must take on a different form. Teachers are no longer expected to simply be a dispenser of information; new models of teaching and learning are needed that align with best practices and the standards of the National Council of Teachers of Mathematics (NCTM). Requirements: A. […]

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Discrete Math 1. [2 points] Let L = {hMi : M has an even number of states}. Is L decidable? Give a brief explanation for your answer. 2. [2 points] Let L = {hMi : L(M) has an even number of elements}. Is L decidable? Give a brief explanation for your answer. 3. [4 points] […]

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Mathematics A test has 20 questions. If Peter gets 80 percent correct, how many questions did Peter miss? A. 2 B. 4 C. 6 D. 5 Reset Selection Mark for Review What’s This? Question 2 of 20 The beginning tennis class has twice as many students as the advanced class. The intermediate class has three […]

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Mathematics 1. What is the value of Roman numeral XXIV? 2. Calculate 18*16 using duplation and mediation. 3. Calculate 15*12 using lattice multiplication. 4. Determine the GCD(greatest common divisor) of 45 and 50. 5. Determine the LCM (least common multiple) of 12 and 16. 6. Calculate 1/3 + 1/4 7. Calculate 1 + 2 + […]

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