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
Answer:
D. 25%
Step-by-step explanation:
There are two ways that I do this. Both of them are probably not what your teacher tells you, but hey, I got the right answer.
The first method is to go through the answers and do 14 x .10, 14 x .20, and so on until you get 3.50.
The second method is to do 14/3.5, which equals 4. This means 14 can be broken up into 3.50 four times. So, 3.50 is 1/4 of 14. What is 1/4 of 100%? 25%.
You start by sucking a D.I.C.K
Answer:
Step-by-step explanation:
1.
Equation one:
x = -5, x = -1 (Both are real)
Equation two:
No real solutions
Equation three:
x = -3 (Real)
Equation four:
No real solutions
2.
The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.
