ISYE 6644 OANO O SIMULATION AND MODELLING FOR ENGINEERING AND SCIENCE PRACTICE EXAM QUESTIONS & ANSWERS

ISYE 6644 OANO O SIMULATION AND MODELLING FOR
ENGINEERING AND SCIENCE PRACTICE EXAM QUESTIONS &
ANSWERS
Score for this quiz: 34 out of 36.




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


Correct! c. 7.38


d. 14.93

, 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.

, 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.