
Laplace Transforms and Unit Step Functions

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using the unit step function in the context of Laplace transforms?
To simplify the function into a single expression
To make the function continuous
To convert the function into a polynomial
To eliminate discontinuities in the function
Tags
CCSS.HSF-IF.C.7B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the piecewise function f(t) defined for t less than 2?
f(t) = t
f(t) = 4(t - 2)
f(t) = 16
f(t) = 0
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(t) when t is greater than or equal to 6?
16
4(t - 2)
t
0
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which unit step function is used to represent the interval where t is between 2 and 6?
u(t - 2)
u(t - 6)
u(t - 2) - u(t - 6)
u(t)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after expressing f(t) using unit step functions?
Calculate the derivative
Integrate the function
Simplify the expression
Apply the Laplace transform
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Laplace transform of a function multiplied by a unit step function?
e^(-cs) times the Laplace transform of the function
The derivative of the function
The integral of the function
The function itself
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the Laplace transform of 4t?
4t/s
4/s^2
4/s
4t/s^2
Create a free account and access millions of resources
Similar Resources on Wayground
9 questions
Understanding Transfer Functions and Laplace Transforms

Interactive video
•
10th - 12th Grade
11 questions
Understanding Laplace Transforms and Step Functions

Interactive video
•
10th - 12th Grade
11 questions
Inverse Laplace Transform Concepts

Interactive video
•
10th - 12th Grade
11 questions
Laplace Transforms and Inverse Properties

Interactive video
•
10th - 12th Grade
11 questions
Inverse Laplace Transform Techniques

Interactive video
•
10th - 12th Grade
11 questions
Laplace Transform and Step Functions

Interactive video
•
10th - 12th Grade
11 questions
Laplace Transforms and Exponential Functions

Interactive video
•
10th - 12th Grade
11 questions
Understanding the Unit Step Function and Its Applications

Interactive video
•
11th Grade - University
Popular Resources on Wayground
15 questions
Hersheys' Travels Quiz (AM)

Quiz
•
6th - 8th Grade
20 questions
PBIS-HGMS

Quiz
•
6th - 8th Grade
30 questions
Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz
•
7th Grade
20 questions
Multiplication Facts

Quiz
•
3rd Grade
17 questions
MIXED Factoring Review

Quiz
•
KG - University
10 questions
Laws of Exponents

Quiz
•
9th Grade
10 questions
Characterization

Quiz
•
3rd - 7th Grade
10 questions
Multiply Fractions

Quiz
•
6th Grade