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Georgia Institute Of TechnologyISYE 6644Week 3 Homework - Summer 2020_ Simulation and Modeling for Engineering and Science - ISYE-6644-OAN_O

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Week 3 Homework - Summer 2020 Due Jun 5 at 11:59pm Points 36 Questions 36 Available May 29 at 8am - Jun 5 at 11:59pm 8 days Time Limit None This quiz was locked Jun 5 at 11:59pm. Attempt History ... Attempt Time Score LATEST Attempt 1 4,915 minutes 34 out of 36 Score for this quiz: 34 out of 36 Submitted Jun 5 at 11:16pm This attempt took 4,915 minutes. Question 1 1 / 1 pts (Lesson 3.1: Solving a Differential Equation.) Suppose that . We know that if is small, then Using this expression with , find an approximate value for . a. 1 b. 2.72 c. 7.38 Correct! Correct! d. 14.936/9/2020 Week 3 Homework - Summer 2020: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/128642/quizzes/142115?module_item_id=833696 2/26 We have So using h = 0.01, we have Thus, the answer is (d). We have So using h = 0.01, we have Thus, the answer is (d). Question 2 1 / 1 pts (Lesson 3.1: Solving a Differential Equation.) Suppose that . What is the actual value of ? a. b. c. Correct! Correct! d. and thus the answer is (d). e.6/9/2020 Week 3 Homework - Summer 2020: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01 and thus the answer is (d). Question 3 1 / 1 pts (Lesson 3.1: Solving a Differential Equation.) Consider the differential equation with . What is the exact formula for ? a. b. c. Correct! Correct! This takes a little work. The good news is that you can actually get the true answer using the technique of separation of variables. We have so that Which implies , so that , where and are arbitrary constants. Setting implies that , so that the exact answer is , the answer is , i.e., choice (c). d.6/9/2020 Week 3 Homework - Summer 2020: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01 https://gatech.instructure.com/courses/128642/quizzes/142115?module_item_id=833696 4/26 This takes a little work. The good news is that you can actually get the true answer using the technique of separation of variables. We have so that Which implies , so that , where and are arbitrary constants. Setting implies that , so that the exact answer is , the answer is , i.e., choice (c) [Show More]

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