Laplace Transform Concepts and Applications

Laplace Transform Concepts and Applications

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Practice Problem

Hard

Created by

Lucas Foster

FREE Resource

The video tutorial explains how to find the inverse Laplace transform of a given function. It begins by setting up the problem and identifying the need to transform the denominators to fit a specific formula. The tutorial then walks through the process of transforming expressions and applying the inverse Laplace formula to solve the problem. Finally, it presents the solution and concludes with a summary of the steps taken.

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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 function?

Multiply by a constant

Differentiate the function

Add a constant to the function

Take the inverse Laplace transform of both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form should the denominator take when using the Laplace transform table?

s times a

s plus a

s minus a

s divided by a

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can s plus three be rewritten to fit the Laplace transform table?

s minus three

s minus negative three

s plus negative three

s times three

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be factored out from the denominator five s minus two?

Three

Five

Two

Seven

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct form for the numerator when n equals three?

Two factorial

Three factorial

Four factorial

Five factorial

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term of f(t) after applying the inverse Laplace transform?

Three times e raised to the power of negative two t

Seven times e raised to the power of negative three t

Nine times e raised to the power of negative five t

Five times e raised to the power of negative four t

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second term of f(t) in the final expression?

Negative five-fifths times e raised to the power of four-fifths t

Negative three-fifths times e raised to the power of two-fifths t

Negative two-fifths times e raised to the power of three-fifths t

Negative four-fifths times e raised to the power of one-fifth t

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