1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anit [1.1K]
3 years ago
11

Laplace Transform of t ^{2}sin(2t)? ...?

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0
By laplace transform definition of { t^n * f(t) } 

<span>(-1)^n * ( d^n/ds^n ) F(s) </span>

<span>t^2*sin(2t) <==== let's apply it </span>

<span>(-1)^2 * ( d^2/ds^2 ) ( 2 / (s^2 + 2^2) ) </span>

<span>1 * ( d^2/ds^2 ) ( 2 / (s^2 + 4) ) <===== let's find the first and second derivative : </span>

<span>( (s^2 + 2^2) * 0 - 2 * (2s) / (s^2 + 4)^2 ) </span>

<span>( - 4s) / (s^2 + 4)^2 ) <==== let's find the second derivative </span>

<span>( (s^2 + 4)^2 * -4 - - 4s * 2 * (s^2 + 4) * 2s ) / (s^2 + 4)^4 ) </span>

<span>( -4(s^2 + 4)^2 + 16s^2 * (s^2 + 4) ) / (s^2 + 4)^4 ) </span>

<span>( -4(s^2 + 4) + 16s^2 ) / (s^2 + 4)^3 ) </span>

<span>( -4s^2 - 16 + 16s^2 ) / (s^2 + 4)^3 ) </span>

<span>( 12s^2 - 16 ) / (s^2 + 4)^3 )

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
You might be interested in
Rob is two times as old as Jake. Three years ago the sum of their ages was 21 years. Find their present ages?
spin [16.1K]
Rob is 18
Jake is 9

21-15=6
6+3=9
9x2=18
(No clue how I got 15 )
8 0
3 years ago
Read 2 more answers
An auto dealership sells minivans and sedans. In January, they sold 10 minivans and 20 sedans. In February, they sold 7 minivans
zaharov [31]

Answer:

january = 10/20 = 1/2

februry = 7/14 = 1/2

so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.

<em>hope it helps :)</em>

<em />

8 0
3 years ago
Which function has the smallest y-intercept value?
Lerok [7]

Answer:

Could you... put it normally?

Step-by-step explanation:

It's kinda confusing to read, so much understand

8 0
3 years ago
Slove 2/3 (6w-18)=12
Ghella [55]

Hello, the answer is simple it is W=6

7 0
3 years ago
Solve for x.<br> x2(^) + 9x = 0
kolezko [41]
X^2+9x=0
x(x+9)=0
x=0, -9
5 0
3 years ago
Read 2 more answers
Other questions:
  • The game room of the youth center needs carpet. sweet t found that the room measures 12 inches by 8 inches on the blueprint. if
    12·1 answer
  • Jack's bowling score is 20 less than 3 times Jill's
    11·1 answer
  • teddy brings snacks and ice cream while they wait for santa to arrive on christmas eve if the ice cream has 1250 calories for 5
    8·1 answer
  • Kiana wants to write equations in the form y = mx + b for the lines passing through
    8·1 answer
  • Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. Your work must include an integral in one variable.
    12·1 answer
  • A. How long does the piece of wire need to be to make the shape? Explain.
    7·1 answer
  • What's 42/66 in simplest form
    7·2 answers
  • Tessa received $50 from her Grandma for her birthday. She decided to put this money away and save an additional $12 per week so
    14·1 answer
  • If 2m−6=8m
    11·1 answer
  • Product of 21.33 and 2.04 and the sum of 1.115, 3.18, 22.0613and 12.2384
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!