What is the purpose of using the unit step function in the context of Laplace transforms?

Laplace Transforms and Unit Step Functions

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

Amelia Wright
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
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
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
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