Laplace Transforms

Laplace Transforms

University

20 Qs

quiz-placeholder

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Laplace Transforms

Laplace Transforms

Assessment

Quiz

Mathematics

University

Hard

Created by

Manuel meusebio@hct.ac.ae

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Laplace Transform transforms a function from

f(t) to F(s)f\left(t\right)\ to\ F\left(s\right)

F(s) to f(t)F\left(s\right)\ to\ f\left(t\right)

f(t) to f(t)f\left(t\right)\ to\ f'\left(t\right)

f"(t) to f(t)f"\left(t\right)\ to\ f'\left(t\right)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which one is the correct definition of Laplace Transform?

F(s)=0estf(t)dtF\left(s\right)=\int_0^{\infty}e^{-st}f\left(t\right)dt

F(s)=0tf(t)g(tu)F\left(s\right)=\int_0^tf\left(t\right)g\left(t-u\right)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is Laplace Transform for e2te^{-2t}  ?

 1s2\frac{1}{s-2}  

 1s+2\frac{1}{s+2}  

 2s\frac{2}{s}  

 1s2\frac{1}{s^2}  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is Laplace Transform for  sin 2t\sin\ 2t  ?

 2s2+2\frac{2}{s^2+2}  

 ss2+2\frac{s}{s^2+2}  

 2s2+4\frac{2}{s^2+4}  

 ss2+4\frac{s}{s^2+4}  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the Laplace Transform for  f(t)=t3f\left(t\right)=t^3  ?

 1s3\frac{1}{s^3}  

 2s3\frac{2}{s^3}  

 6s4\frac{6}{s^4}  

 3s3\frac{3}{s^3}  

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find  F(s), given f(t)=e2tsin 2tF\left(s\right),\ given\ f\left(t\right)=e^{2t}\sin\ 2t  

 1(s1)2+1\frac{1}{\left(s-1\right)^2+1^{ }}  

 s(s2)2+4\frac{s}{\left(s-2\right)^2+4}  

 s(s4)2+1\frac{s}{\left(s-4\right)^2+1}  

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Inverse Laplace transform, transform

f(t) to F(s)f\left(t\right)\ to\ F\left(s\right)

F(s) to f(t)F\left(s\right)\ to\ f\left(t\right)

f(t ) to f(t)f'\left(t\ \right)\ to\ f\left(t\right)

f(t) to f(t)f\left(t\right)\ to\ f'\left(t\right)

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