WK2_KC
.pdf
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School
Georgia Institute Of Technology *
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Course
6644
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
21
Uploaded by DeaconAntMaster1117
2024/1/28, 11
:
50
Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
Page 1 of 21
https://gatech.instructure.com/courses/360616/quizzes/510395
?
module_item_id=3598378
Week 2 Module 2 (L1-9) Knowledge Checks
(Fall/Spring) Due
No due date
Points
22
Questions
22
Time Limit
None
Allowed Attempts
Unlimited
Attempt History
Attempt
Time
Score
LATEST
Attempt 1
19,698 minutes
21 out of 22
Submitted Jan 27 at 10:47pm
Take the Quiz Again
1 / 1 pts
Question 1
Optional: Week 2 Module 2 Lesson 1 Question 1
If , find the derivative a. b. c. Correct!
Correct!
This follows since
We could also have used the chain rule,
2024/1/28, 11
:
50
Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
Page 2 of 21
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module_item_id=3598378
d. This follows since
We could also have used the chain rule,
1 / 1 pts
Question 2
Optional: Week 2 Module 2 Lesson 1 Question 2
If , find the derivative a. b. Correct!
Correct!
By the chain rule,
.
c.
d. e. I'm from UGA - I'm scared of math, and I don't know!
2024/1/28, 11
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Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
Page 3 of 21
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module_item_id=3598378
By the chain rule,
.
1 / 1 pts
Question 3
Optional: Week 2 Module 2 Lesson 2 Question 1
Which of the following methods cannot be used to find the zeroes of a
complicated function?
a. trial-and-error b. bisection c. Newton's method d. Newman's method acting Correct!
Correct!
1 / 1 pts
Question 4
Optional: Week 2 Module 2 Lesson 2 Question 2
BONUS. Use your favorite numerical method to solve
a.
2024/1/28, 11
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Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
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module_item_id=3598378
b. Correct!
Correct!
Of course, you can easily solve for ... on your
calculator. But let's do this problem via the bisection method.
(You can also use Newton's method, which might be quicker.)
After a few more iterations, and you’ll indeed see that this thing
appears to be converging to ...
c. d. is an imaginary number
2024/1/28, 11
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Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
Page 5 of 21
https://gatech.instructure.com/courses/360616/quizzes/510395
?
module_item_id=3598378
Of course, you can easily solve for ... on your
calculator. But let's do this problem via the bisection method. (You
can also use Newton's method, which might be quicker.)
After a few more iterations, and you’ll indeed see that this thing
appears to be converging to ...
1 / 1 pts
Question 5
Optional: Week 2 Module 2 Lesson 3 Question 1
Find .
a. b. c. d. Correct!
Correct!
2024/1/28, 11
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50
Week 2 Module 2 (L1-9) Knowledge Checks (Fall/Spring): Simulation - ISYE-6644-OAN/O01/Q/ASY
Page 6 of 21
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module_item_id=3598378
We have
We have
1 / 1 pts
Question 6
Optional: Week 2 Module 2 Lesson 3 Question 2
BONUS. Find a. b. Correct!
Correct!
This is tricky. You have to use integration by parts with and (using the notation of the notes). Then
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