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Unformatted text preview: ENGR 13200 Ideas to Innovations Part II Spring 2012 HOMEWORK #7 Due: Class 7b SUMMARY OF READING AND UPCOMING DELIVERABLES DUE HC E Reading: While Loops - Chapter 26: pp. 605-613 7b Individual Homework Problems: Problem 1: TMC – In-Class Activities 5B 7b & & Problem 2: While Loops – Finding Intersection Points 7b & & Problem 3: Modeling the Flight of a Model Rocket 7b & & MEA1 Just-in-Time Manufacturing Problem 4: MEA1 – Team Final Response 7b - & 1. Travel Mode Choices – In-Class Activities 5B (This problem is to be completed individually and contributes to your homework grade . ) Complete In-Class Activity 1 from Class 5B. Complete In-Class Activity 2 from Class 5B. You must describe your input and output arguments in the help section of your function header in a way that clearly indicates to the user how to use your function. The order of the input arguments must be clear. Deliverables - Individually: • Upload tmc_sol #L _flowchart _yourlogin1_yourlogin2 (Word or Power Point) with original flowchart (with rationale markers for Activity 1), and modified flowcharts (based on your recommendation for improvement requested in Activity 2), and a listing of rationale types in the original model and three revised rationales with types. • Submit a hardcopy of your file tmc_sol #L _flowchart_ yourlogin1_yourlogin2 • Upload tmc_sol #L _anlaysis_ yourlogin1_yourlogin2. xls (Excel file with original & revised flowchart evaluation results & recommendations for improvement) • Upload tmcpredict_sol #L_yourlogin1_yourlogin2. m (MATLAB user-defined function for the associated revised flowchart from Class 5B) to your Instructor’s Assignment Drop Box on Blackboard • Submit a hardcopy of tmc_sol #L_ anlaysis _yourlogin1_yourlogin2. xls (Excel file with original & revised flowchart evaluation results & recommendations for improvement) and your function tmcpredict_sol #L_yourlogin1_yourlogin2. m m-file. ENGR 13200 Ideas to Innovations Part II Spring 2012 2. While Loops – Finding Intersection Points (This problem is to be completed individually and contributes to your homework grade.) Newton’s method can be used to determine the intersection of two equations within some error tolerance. Consider these two equations, where x is between x = 0 and x = &/¡ (inclusive). ¢ £ ¤¥¦§¨© (Equation 1) ¢ £ ª¨ (Equation 2) In Equation 2, note that a represents the slope of the line. At the intersection point, the x value and y value in the two equations must be the same. First, we set the equations equal to one another and rearrange to create a function. «§¨© £ ª¨ ¬ ¤¥¦§¨© The derivative of this function is, « §¨© £ ª ® ¦¯°§¨© An initial guess for the ¨ value of the intersection point is required (note: Newton’s method is very sensitive to the initial guess). An updated value for ¨ is found as follows, ¨ ¯±² £ ¨ ¯ ¬ «§¨ ¯ © « §¨ ¯ © where «§¨ ¯ © is the value of the function «§¨© evaluated at the old value of...
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This note was uploaded on 02/17/2012 for the course ENGR 132 taught by Professor Kutson during the Spring '11 term at Purdue University-West Lafayette.
- Spring '11