Research Paper: Pythagoras Today‚ the Pythagorean Theorem is a mathematical idea studied in classrooms all over the world. It was developed hundreds of years ago by Pythagoras‚ a Greek man‚ who was not only a mathematician‚ but a philosopher‚ a scientist‚ and a religious leader as well. In his lifetime‚ Pythagoras discovered and developed many new ways of thinking‚ and his teachings attracted followers from all over the ancient world. Pythagoras was a brilliant thinker who made many revolutionary
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c5 0 if(pos_min != i) c6 n^2-1 temp=arr[i]; c7 0 arr[i]=arr[pos_min]; c8 0 arr[pos_min]=temp; c9 0 c1n + c2(n-1) + c3n^2 + c4(n^2-1) + c5(0) + c6(n^2-1) + c7(0) + c8(0) + c9(0) = (c3 + c4 + c6)n^2 + (c1 + c2)n - (c2 + c4 + c6) This is quadratic an^2 + bn + c --------------------------- Worst Case Scenario cost times for(int i=0; i< arr[pos_min]) c4 n^2-1 pos_min = j; c5 n^2-1 if(pos_min != i) c6 n^2-1 temp=arr[i]; c7 n^2-1 arr[i]=arr[pos_min]; c8 n^2-1 arr[pos_min]=temp;
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Name _____________________ Date ______________________ Grade ____________ Comments _____________________ MAT117 Quiz 4 - Applications Chapter 11 10 problems – 5 points each 50 points possible Solve all problems and attach your solutions document in your Assignment Section Remember to use Equation Editor or MathType when appropriate. Remember to check your steps carefully. Please use the rightmost column to show your steps. CorrectSolution? | Appropriate Steps
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Angle measurement The concept of angle The concept of angle is one of the most important concepts in geometry. The concepts of equality‚ sums‚ and differences of angles are important and used throughout geometry‚ but the subject of trigonometry is based on the measurement of angles. There are two commonly used units of measurement for angles. The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees‚ so that a right angle is 90°. For the time being
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|15 | • Display results in a table. Using technology‚ display your results in a discrete graph • Find a quadratic function that shows the relationship between the number of steps and the area Quadratic Formula: y= ax2 + bx+ c [pic] • Plug in the coordinates to the quadratic formula 1) 1= a (1)2 +b (1) – c 2) 3= a(2)2 b(2) +c 3) 6=a(3)2 +b(3) +c 1= a+ b+ c 3=4a+2b+c
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Thesis Statement Protagoras denies a perfect form for all things‚ while Pythagoras clearly presents the better case with harmonia. Pythagoras‚ known as “the father of numbers” through his Pythagorean Theorem is regarded as the first to seek for the form of all things . From Protagoras’s perspective‚ named as one of the “Sophists” by Plato‚ there would probably be no exact form for anything. Without an understanding of a true source from which all form flows with‚ we eliminate all possibility
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MULTIPLE REGRESSION After completing this chapter‚ you should be able to: understand model building using multiple regression analysis apply multiple regression analysis to business decision-making situations analyze and interpret the computer output for a multiple regression model test the significance of the independent variables in a multiple regression model use variable transformations to model nonlinear relationships recognize potential problems in multiple
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The velocity versus time graph came out to be a quadratic model‚ having a number of curves. Since this is based off of original measurements‚ any mistakes in measuring would have been multiplied when the velocity was calculated‚ so human error could be prevalent here as well. Conclusion Our hypothesis was only partially supported. The position versus time graph was a linear model‚ as predicted‚ but the velocity versus time graph was quadratic‚ not supporting the hypothesis. Data and Observations
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As students‚ we are taught the basics about mathematics. What the core properties of addition‚ subtraction‚ multiplication and division mean. How they work‚ and if we are lucky‚ we go into a little history of these methods. For those of us who have learned history‚ we learned that the basis for modern mathematics came from the Greeks and their writings. While this is correct‚ to truly understand the historical aspect of mathematics and its origins‚ one must study a time before the Greeks‚ when math
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their generators. Technology Used: Technology that had been used is shown below 1) Autograph (Version 3.3) Graphing Display Calculator TI-84 Plus Texas Instruments 2) Defining terms:i Quadratic‚ cubic‚ quartic functions are members of the family of polynomials. A quadratic function is a function of the form constants and A cubic function is a function of the form are constants and A quartic function is a function of the form where are constants and Complex numbers
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