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Week 3 Homework - Summer 2020_ Simulation and Modeling for Engineering and Science - ISYE-6644-OAN_O-VERIFIED ANSWERS $14.49   Add to cart

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Week 3 Homework - Summer 2020_ Simulation and Modeling for Engineering and Science - ISYE-6644-OAN_O-VERIFIED ANSWERS

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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 E...

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  • June 26, 2021
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6/9/2020 Week 3 Homework - Summer 2020: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01


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 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! d. 14.93




https://gatech.instructure.com/courses/128642/quizzes/142115?module_item_id=833696 1/26

,6/9/2020 Week 3 Homework - Summer 2020: Simulation and Modeling for Engineering and Science - ISYE-6644-OAN/O01




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 pts


(Lesson 3.1: Solving a Differential Equation.) Suppose that .
What is the actual value of ?


a.


b.


c.


Correct!
d.




and thus the answer is (d).



e.

https://gatech.instructure.com/courses/128642/quizzes/142115?module_item_id=833696 2/26

, 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 pts


(Lesson 3.1: Solving a Differential Equation.) Consider the differential
equation with . What is the exact
formula for ?


a.


b.


Correct!
c.




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.


https://gatech.instructure.com/courses/128642/quizzes/142115?module_item_id=833696 3/26

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