
Improved Euler's Method Concepts
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Liam Anderson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main advantage of the Improved Euler's Method over the original Euler's Method?
It requires fewer calculations.
It averages slopes for better accuracy.
It uses a smaller step size.
It is easier to implement.
Tags
CCSS.8.EE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the Improved Euler's Method, what is used to calculate the next y-value?
The average of slopes at two points.
The slope at the final point only.
The slope at the initial point only.
The midpoint slope.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial condition given in the example problem?
Y of one equals zero.
Y of one equals one.
Y of zero equals one.
Y of zero equals zero.
Tags
CCSS.HSF-LE.A.1B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the step size (h) used in the example problem?
0.5
0.1
0.25
0.2
Tags
CCSS.HSF-LE.A.1B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is y sub 1 star calculated in the example?
Using the midpoint formula.
Using the original Euler's Method formula.
Using the final point slope.
Using the average of slopes.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of y sub 2 after the second iteration?
1.7832
1.7031
2.3540
1.3125
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-value at the third iteration in the example?
1.0
0.5
0.75
0.25
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