Inverse Laplace Transform Concepts
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse Laplace transform of a given function?
Multiplying by the least common denominator
Using the inverse Laplace table directly
Equating coefficients
Performing partial fraction decomposition
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to multiply by the least common denominator (LCD) in partial fraction decomposition?
To find the inverse Laplace transform
To equate coefficients
To simplify the equation
To eliminate fractions
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of equating coefficients in the expanded equation?
To solve for constants A, B, C, and D
To perform partial fraction decomposition
To simplify the equation
To find the inverse Laplace transform
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If C is found to be 4, what is the value of B?
4
-4
-2
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the decomposed form of the function after substituting the constants?
1/s - 2/s^2 + 4/s^3 - 1/(s+2)
1/s + 2/s^2 - 4/s^3 + 1/(s+2)
1/s + 2/s^2 + 4/s^3 - 1/(s+2)
1/s - 2/s^2 - 4/s^3 + 1/(s+2)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse Laplace transform of 1/s?
e^(-2t)
t^2
1
t
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse Laplace transform of 1/s^2?
t^2
t
1
e^(-2t)
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