
Understanding Total Differential and Error Analysis

Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main focus of the video on total differential applications?
Understanding propagated and relative error
Learning about integration techniques
Calculating the area of a circle
Exploring the history of calculus
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is propagated error defined in terms of function values?
As the ratio of function values
As the difference of function values
As the product of function values
As the sum of function values
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does relative error provide that propagated error does not?
A percentage of error
A numerical value
A constant value
An exact measurement
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the cylinder example, what is the possible error in measuring the radius?
0.75 feet
1 foot
0.25 feet
0.5 feet
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used to calculate the volume of the cylinder in the example?
V = 2πrh
V = πr²h
V = πr²/2
V = 2πr²h
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate relative error percentage calculated for the cylinder's volume?
7.3%
6.3%
5.3%
8.3%
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the triangle example, what is the possible error in measuring the angle?
0.05 radians
0.1 radians
0.2 radians
0.15 radians
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