ISYE 6644 Week 4 Homework Simulation | Score 12/14 | Georgia Institute of Technology

Week 4 Homework
Due Feb 19 at 11:59pm Points 14 Questions 14
Available Jan 30 at 8am - Feb 19 at 11:59pm 21 days Time Limit None




Attempt History
Attempt Time Score
LATEST Attempt 1 4 minutes 12 out of 14




Correct answers will be available on Feb 20 at 12pm.

Score for this quiz: 12 out of 14
Submitted Feb 16 at 7:45pm
This attempt took 4 minutes.

Incorrect 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


d. 14.93

, 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.


d.




and thus the answer is (d).



e.




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.


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.