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
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
