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Solving Problems using Mat 1. Ask the question. - Make a list of all the v Be careful not to cont State any assumptions

Solving Problems using Mat 1. Ask the question. - Make a list of all the v Be careful not to cont State any assumptions

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Give one mathematical investigation example similar to the monty hall problem but it is either from algebra or geometry using the steps for mathematical modeling given.

Solving Problems using Mathematical Modeling: The Five-Step Method 1. Ask the question. - Make a list of all the variables in the problem, including the appropriate units. Be careful not to confuse variables and constants State any assumptions you are making. State the objective of the problem in precise mathematical terms. 2. Select the modeling approach. - Choose a general solution procedure to be followed in solving this problem. Generally speaking, success in this step requires experience, skill, and familiarity with the relevant literature. In this course, we usually specify the modeling approach to be used. 3. Formulate the model. - Restate the question in step 1 in terms of the modeling approach specified in step 2. You may need to relabel some of the variables specified in step 1 in order to agree with the notation generally used with the modeling approach chosen. Note that any additional assumptions made in order to fit the problem described in step 1 into the mathematical structure specified in step 2. 4. Solve the model. - Apply the general solution procedure specified in step 2 to the problem formulated in step 3. Be careful in your mathematics. Check your work for math errors. Answer the question: Does your answer make sense? Use appropriate technology. Computer algebra systems, graphics and numerical software will increase the range of problems within your grasp, and they also reduce math errors. 5. Answer the question. Rephrase the results of step 4 in non-technical terms. Avoid mathematical symbols and jargon. Anyone who can understand the statement of the question as it was presented to you originally should be able to understand your answer.
Transcribed Image Text:Solving Problems using Mathematical Modeling: The Five-Step Method 1. Ask the question. - Make a list of all the variables in the problem, including the appropriate units. Be careful not to confuse variables and constants State any assumptions you are making. State the objective of the problem in precise mathematical terms. 2. Select the modeling approach. - Choose a general solution procedure to be followed in solving this problem. Generally speaking, success in this step requires experience, skill, and familiarity with the relevant literature. In this course, we usually specify the modeling approach to be used. 3. Formulate the model. - Restate the question in step 1 in terms of the modeling approach specified in step 2. You may need to relabel some of the variables specified in step 1 in order to agree with the notation generally used with the modeling approach chosen. Note that any additional assumptions made in order to fit the problem described in step 1 into the mathematical structure specified in step 2. 4. Solve the model. - Apply the general solution procedure specified in step 2 to the problem formulated in step 3. Be careful in your mathematics. Check your work for math errors. Answer the question: Does your answer make sense? Use appropriate technology. Computer algebra systems, graphics and numerical software will increase the range of problems within your grasp, and they also reduce math errors. 5. Answer the question. Rephrase the results of step 4 in non-technical terms. Avoid mathematical symbols and jargon. Anyone who can understand the statement of the question as it was presented to you originally should be able to understand your answer.
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