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]
3 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]3 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
Need help ASAP!!!!!!
Mnenie [13.5K]

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

6 0
3 years ago
32 small bags of soil are needed to fill three clay pots how many small bags of soil should be purchased to fill 8 clay pots
lapo4ka [179]

Answer:

12

i think

Step-by-step explanation:

4 0
3 years ago
Find the surface area of this right tringular<br>Prism. Dimensions are in feet​
larisa86 [58]
Ummm there’s no right triangular
5 0
2 years ago
WILL GIVE A BRAINLEST!!!!!!!!!!!!!!!
Dmitrij [34]
The answer is A. The data is a sample, so you can determine every answer with the word 'population' in it to be wrong. 
6 0
3 years ago
Read 2 more answers
Graph in comments
Xelga [282]

it is going to take 18 miles in 1 hour

3 0
2 years ago
Other questions:
  • On Monday 573 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. How many student
    7·2 answers
  • Solve the system of equations algebraically. Show all of your steps. <br> y=x^2+2x<br> y=3x+20
    12·1 answer
  • PLSSS HELPPPPP!!!!Which expression results in a sum or difference of three and four forty eighths?
    15·1 answer
  • 35 interns out of the 250 to whom the offer was made refused it. What percent refused it?
    6·1 answer
  • If a number is multiplied by 4 it gives the same result as 2/7 of 504 what is the number
    10·1 answer
  • Guided Practice
    15·1 answer
  • Where to finds test answers on mathspace before you do the test?
    15·1 answer
  • Whats the y intercept of a line that passes through (8, -9) and has a slope of -5/4.
    9·2 answers
  • Find the volume of the prism
    8·1 answer
  • Factorise completely 45m² - 5n².​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!