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
zmey [24]
3 years ago
14

Inverse laplace of [(1/s^2)-(48/s^5)]

Mathematics
1 answer:
Katen [24]3 years ago
7 0
**Refresh page if you see [ tex ]**

I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform F(s) and G(s), then \mathcal{L}^{-1}\{aF(s)+bG(s)\} = a\mathcal{L}^{-1}\{F(s)\}+b\mathcal{L}^{-1}\{G(s)\}

Given that \dfrac{1}{s^2} = \dfrac{1!}{s^2} and -\dfrac{48}{s^5} = -2\cdot\dfrac{4!}{s^5}

So you have \mathcal{L}^{-1}\left\{\dfrac{1}{s^2} - 2\cdot\dfrac{4!}{s^5}\right\} = \mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\}

From Table of Laplace Transform, you have \mathcal{L}\{t^n\} = \dfrac{n!}{s^{n+1}} and hence \mathcal{L}^{-1}\left\{\dfrac{n!}{s^{n+1}}\right\} = t^n

So you have \mathcal{L}^{-1}\left\{\dfrac{1}{s^2}\right\} - 2\mathcal{L}^{-1}\left\{\dfrac{4!}{s^5}\right\} = \boxed{t-2t^4}.

Hope this helps...
You might be interested in
What are the critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard
Sunny_sXe [5.5K]
For a two-tailed test we need to halve 0.01, giving 0.005. Then we need to sutract 0.005 from 0.5, giving 0.5 - 0.005 = 0.495. Looking up the p value of 0.495 in an inverse normal probability table we obtain the value z = 2.5758. Therefore the critical values are -2.5758 and 2.5758.
4 0
3 years ago
1. Jessica drove 345 miles on
hammer [34]

Answer:

300.

Step-by-step explanation:

345 rounds down to 300.

4 0
2 years ago
Read 2 more answers
There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother ge
Alenkasestr [34]

9514 1404 393

Answer:

  1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

4 0
2 years ago
Question in image below.
alexira [117]
Someone is answering for you ! But good luck and try your best !
7 0
3 years ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
defon

The initial value: 25, rate of change: -5 ⇒ answer C

Step-by-step explanation:

The table:

→  x  :    1    :    3    :    5    :    7

→  y  :    20 :    10  :    0    :    -10

The linear relation between x and y is y = m x + b, where

  • m is the rate of change
  • b is the initial value

Let us use the table to find m and b

∵ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where (x_{1},y_{1})

   and (x_{2},y_{2}) are any two ordered pairs in the table

∵ (x_{1},y_{1}) = (1 , 20)

∵ (x_{2},y_{2}) = (3 , 10)

∴ m=\frac{10-20}{3-1}=\frac{-10}{2}=-5

∵ m is the rate of change

∴ The rate of change is -5

Substitute the value of m in the form of the linear relation

∴ y = -5 x + b

To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)

∵ x = 5 and y = 0

∴ 0 = -5(5) + b

∴ 0 = -25 + b

- Add 25 to both sides

∴ 25 = b

∵ b represents the initial value

∴ The initial value is 25

The initial value: 25, rate of change: -5

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

8 0
3 years ago
Other questions:
  • Which expression is equivalent to (4x + 7y) + 5z?
    7·1 answer
  • Ahmed was studying the shapes of quartz crystals, one of which he outlined below.
    7·2 answers
  • ©
    6·2 answers
  • If yall wanna send a paragraph to yo girl/boy here
    5·1 answer
  • Quadrilateral ABCD is a square and the length of BD is 14 cm.<br><br> What is the length of AE?
    14·1 answer
  • Helppppppppppppppppppp ill mark you brainlist
    7·1 answer
  • Express the following ratio as a fraction in simplest form.<br> $32 for 10 tickets
    10·1 answer
  • Mr. Budas needs 2 feet of trim molding to put around one of the
    6·1 answer
  • What is the cube of 3​
    11·1 answer
  • I tried to solve it but I still don't get it
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!