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
o-na [289]
2 years ago
10

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) ℒ

−1 s s2 + 3s − 4
Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as

(4/5)/(s+4) + (1/5)/(s-1)

which can be found in a table of transforms to be the transform of

(4/5)e^(-4t) + (1/5)e^t


_____

There are a number of ways to determine the partial fractions. They all start with factoring the denominator.

s^2 +3x -4 = (s+4)(s-1)


After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:

A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)


This gives rise to two equations:

(A+B) = 1

(4B-A) = 0

You might be interested in
Okay so, i need help with this. It’s really important and I need to finish this paper before school tomorrow. Please help i will
SOVA2 [1]

Answer:

5x^2 - 4x - 3 = 0

Step-by-step explanation:

For the equation

ax^2 + bx + c = 0

the  roots are   [-b +/- √(b^2 - 4ac)] / 2a

So comparing the terms to the values in the question:

a = 5

b = -4

c = -3

7 0
1 year ago
4+2p=10( 5/3p−2)<br> Solve
worty [1.4K]

Answer:

p=18/11

Step-by-step explanation:

Simplify: 4+2p=50/3p-20

Multiply each side by 3: 12+6p=50p-60

Add like terms: -44p=-72

Divide both sides by -44 and simplify:  p=18/11

7 0
3 years ago
Read 2 more answers
Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?
konstantin123 [22]
(<) this means less than 
(>) this means greater than
So since the question doesnt say anything about -4°C we can automatically cross out A and B 
They are both negative! but when you have a negative. Its going to be less than a positive 
So this means 4°C is greater than -5°C 
or in other words
D.) 4°C > -5°C
hope this helps! 
and dont forget 2 
MARK ME BRAINLIEST! 
=)
3 0
3 years ago
Read 2 more answers
14. Write a linear equation to represent the sequence 3, 7, 11, 15, ….
Amiraneli [1.4K]

Answer:

RECURSIVE: f(n)=f(n-1)+4

EXPLICIT: f(n)=3+4n

6 0
2 years ago
A card is picked at random from a deck of cards, after putting it back another card is picked at random. ​Are these two events d
kvv77 [185]

Answer: Independent event

Step-by-step explanation:

When two events are independent of each other, this means that the probability that one event will occurs does not in any way affects the probability of the occurrence of the other event.

For example, card is picked at random from a deck of cards, and after putting it back,thne another card is picked at random. ​The probability of picking the cards is not affected by each other since it is put back.

6 0
3 years ago
Other questions:
  • You are given n = 5 measurements: 5, 3, 3, 8, 8. (a) calculate the sample mean, x. (enter your answer to one decimal place.)
    5·1 answer
  • There are
    10·1 answer
  • Solving this:<br> 7x +7 * 1 =?
    13·1 answer
  • The sample space, s, for flipping a a coin three times is shown below. What is the probability of obtaining heads at least once?
    6·1 answer
  • Hi can anybody help me with this please
    8·1 answer
  • Find the L.C.M of 10,12,15 by division method​
    7·1 answer
  • Математика срочно пожалуйста​
    7·1 answer
  • Can someone please solve this?<br>I'm stuck and I don't know how​
    11·2 answers
  • Alex drives 3 3/4 miles to school every day. On the way home, he drives a different route, which is 1/3 of a mile shorter. He go
    7·1 answer
  • Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!