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Search and seizure -content– The Fourth Amendment protects citizens from unreasonable searches and seizures by the police. Searches must be done with a warrant or under one of the described exceptions. In Maryland v. King, the Supreme Court ruled that the police can take DNA during the booking process from people who have been arrested and not yet convicted. This is similar to an arrestee having his or her fingerprints taken during booking. Do you think this violates a person’s right to be free of unreasonable searches and seizures? What are the implications of this case upon all of the branches of the criminal justice system? PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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MATHEMATICS -content– 1) Simplify: (5xy7)3(3x5y3)4 2) Find the equation for the line passing through the points (4,1) and (6, 19) in slope-intercept form 3) Assume that the value of a machine is a linear function of time. When new the machine is worth $50,000. Four years later the machine is worth 36,500. When will the machine be worth exactly $5000? 4) Solve the equation: 3x 3 + 5x 2 – 8x – 23 = 0. Compute the solutions with 2 decimal place accuracy. 5) Identify the critical values of the function 6) Find the domain and range of the function: f(x) = ? 3? x 7) Let f(x) = x2 + 4x + 5 and g(x) = 4x – 3. Compute a) (f (g(4)) b) (f (g (5)) c) (g (f (x)) 8) Let h(x) = (3x 2 + 7)4 – 2(3x 2 + 7)2 . Find two functions f and g such that f(g(x)) = h(x) 9) Compute the following limit: 4 lim x ? 64 16 3 2 ? ? x x 10) Compute the following limit: 4 lim x ? 2 16 2 ? ? x x Compute the derivatives of the following functions by any means (11 through 17) 11) f(x) = 5 x 12) g(x) = 6x 5 – 5x 4 + 7x 2 + 5x + 4 13) q(x) = (2x 3 – 5) 7 14) n(x) = 4 4 4 x x ? f(x) = x3 – 12x 2 + 5 15) q(x) = ( ) 3 3 x x ? x 16) r(x) = 1 2 x ? x 17) u(x) = x (3x + 4)5 18) Find the equation for the tangent line to the curve f(x) = 3x 3 – 2x 2 – 5 at x = 2 19) You are in a race. The distance you travel from the starting gate in t seconds is h(t) = t3 + 2t 2 + 3t feet. a) How far have you traveled 3 seconds after the start of the race? b) What is your velocity 3 seconds after the start of the race? c) What is your acceleration 3 seconds after the start of the race? 20) Find the absolute maximum and absolute minimum of the function f(x) = x3 – 3x 2 on the interval [-1,4] 21) The height of a ball ‘t’ seconds after you throw it is h(t) = 32t – 16t2 feet. What is the maximum height the ball will reach and when will it reach that maximum height? 22) You own a company that makes necklaces. There is no initial start-up costs, but it costs you $40 a piece to manufacture each necklace. If you manufacture x necklaces you can sell them at (160 – x) dollars a piece. How many necklaces should you make in order to maximize your profits and what is your maximum profit? 23) You are going to build a rectangular yard against the side of a barn (so you do not have to make the fourth side) using 1200 feet of fence. What should the dimensions of the yard be in order to maximize the area of the yard and what is the maximum area? 24) You can sell 6 cars if you charge $16,000 a car. For every $100 you reduce the price you can sell one additional car. How many cars would you sell and what price should you charge in order to maximize revenues, and what is your maximum revenue? 25) An apple grower finds that if she plants 20 trees per acre, each tree will produce 100 bushels of apples. For each additional tree she plants each tree will produce 2 less bushels. How many trees should she plant per acre in order to maximize her harvest? PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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HISTORY -content– 1-The Ratification Debate There are two very different camps within the Constitutional debate – the Federalist advocate a stronger central government while the Anti-Federalists propose maintaining the looser confederation of States. Which position do you believe in most? Secondly, using your knowledge of our contemporary political parties, which of today’s parties do you feel supports your preference? 2-The Alien and Sedition Acts What were the Alien and Sedition Acts – a necessary tool for the protection of the fledgling Republic or and Adam’s attempt to silence dissent, both within his own party and in the opposition? Throughout our history we have used this law – or one strikingly similar to silence the opposition in times of crisis. Given the most recent developments, do we need such a law to protect our republic? Is it proper to try, convict, and sentence “prisoners of war” in US military courts martial? 3-Transitioning Power Some historians state that the peaceful transition of power marks the major difference between America and other ‘democracies’ such as the Greek Polis and the (early) Roman Republic. Was there in fact a peaceful transition during this period and do we still have that legacy today? 4-We’ve always done it this way The South could have taken a far different course during the early days of the Industrial Revolution and not only fully participated but actually dominated the era. What would have been some of the advantages of such a move and why didn’t they do it? 5-Nullification A hallmark of our Republic is the balance of power – between the branches of the federal government; between the state and federal governments; but especially between the government and the governed. Nullification is an important part of that process. How do we keep one branch or one part of our government from becoming too all-powerful? What was the Nullification Crisis and should we allow states to nullify federal law? Does power really “originate from the people through their directly elected state legislatures”? 6-We can’t do this anymore What were the Abolitionist’s main strategies used to achieve their goals? Which one(s) were the most (and least) effective and why? 7-Succession Did the South have the right to leave the union? 8-The Emancipation Proclamation The Emancipation Proclamation is often described as a politically perfect document but a morally lacking one. Why or Why not? 9-Reconstruction What was the immediate and long term impact of the ‘Reconstruction Amendments’ ? PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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Quantitative methods -content– 1. (7 points) Define the following (provide the reference used): a. Statistics b. Variable c. Variability d. Hypothesis e. Critical Value f. Region of non-rejection g. Frequency 2. (7 points) Define and provide the formula for each of the following: A. Standard Deviation B. Mean C. Mode D. Median E. Percentage F. Probability G. Z-score 3. (5 Points ) Here are the scores on the first exam in an introductory statistics course for 10 students. 80 73 92 85 75 98 93 55 80 90 What is the ….. for these scores A. Range B. Mean C. Mode D. Median E. Standard deviation 4. (3 Points) You have collected the following data: 3 8 2 6 11 If you randomly select one of these numbers, what is the probability the number (X) will be…. a. equal to 6? b. less than 11? c. greater than 3? 5. (8 Points) What are the main features and characteristics of normal distributions? 6. (10 points) This is a standard deviation question. You must choose four numbers from the whole numbers 0 to 20, with repeats allowed (you may use the number more than once). a.Choose four numbers that have the smallest possible standard deviation. b.Choose four numbers that have the largest possible standard deviation. c.Is there more than one choice possible in either a or b? Explain. Qantitive moutheds PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET A GOOD DISCOUNT
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