OOT2 Task 1

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Western Governors University *

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Mathematics

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Feb 20, 2024

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docx

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Uploaded by JusticeFlowerWolverine37

1 Number of Bacteria N=(12250*10^2-2419*10+010624235+1000)/(5*10^2-37*10+99) N= 51642.1179 The approximation for the maximum number of bacteria would be 353,031.013. Value of Using an Exact or Approximate Solution

2 An exact solution in either a real-world or mathematical scenario holds value due to its precision and accuracy. In mathematical contexts, an exact solution provides a definitive answer, leaving no room for ambiguity or doubt. It serves as a foundational pillar in various fields of science, engineering, and economics, ensuring the correctness of calculations and predictions. Real-world applications also benefit from exact solutions as they offer precise insights into complex problems, allowing for informed decision making. For instance, in engineering designs or financial modeling, an exact solution ensures the reliability and efficiency of the proposed solution, minimizing potential risks or errors. Approximate solutions play a crucial role, particularly in scenarios where obtaining an exact solution might be infeasible or too complex. They offer a pragmatic approach to problem- solving by providing reasonably accurate estimations within acceptable margins of error. In real- world applications, where variables might be uncertain or data might be incomplete, approximations enable swift decision-making and problem-solving. Fields such as physics, astronomy, and statistics often rely on approximate solutions due to the complexities involved in solving equations analytically. Approximate solutions serve as practical shortcuts, facilitating understanding and providing quick insights into complex systems or phenomena. Advantages of Math Technologies in the Classroom Graphing calculators and math-specific technologies offer distinct advantages in educational settings. Firstly, these tools enhance visualization and comprehension of mathematical concepts by graphically representing functions, equations, and data sets. This visual representation aids students in grasping abstract concepts, fostering a deeper understanding of mathematical relationships and patterns. Secondly, math-specific technologies facilitate efficiency and accuracy in problem-solving, allowing students to focus more on the

3 underlying concepts rather than tedious calculations. By automating repetitive tasks and computations, these tools enable students to explore complex problems, experiment with various scenarios, and gain a better grasp of mathematical principles, promoting a more engaging and interactive learning experience in the classroom. Dynamic Geometry Software Using Geogebra to create polygons is exceptionally straightforward. First one must open Geogebra and begin a new construction. Use the tools in the toolbar to create a geometric shape, such as a triangle, quadrilateral, or polygon. To create a polygon, you must first select polygon from the toolbar, select the vertices of the polygon and then go back and click on the original vertex. In order to analyze the side lengths of the polygon, select the length tool and measure the sides of the shape by clicking on two points beside each other. The tool should display the size of the side along with the name of the side. Next, to analyze angle measures, use the angle tool to measure the interior angle of the shape. The tool will require three consecutive points to be chosen and the points must be chosen in a counter-clockwise direction in order to measure the interior angle.

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