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
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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:
List the factors of 450
1,450
3,150
5,90
6,75
9,50
10,45
15,30
18,25
The factor with the sum of 43 is 18+25
25-18=7 so the difference is 7
hope this helps
Step-by-step explanation:
Answer: 36
Step-by-step: 6 2/3 + 5 1/3 = 12
12 x 3 = 36
Answer:
x = 7.9
Step-by-step explanation:
Given:
Angle - 44
Hypotenuse - 11 ft
adjacent side - x
having adjacent and hypotenuse use Cosine to solve the problem from
S-oh C-ah T-oa
cos (angle) = adjacent / hypotenuse
**Make sure your calculator is in degree mode**
cos 44 = x/11
if you cross multiply, you get
11 cos 44 = x
or to solve for x you would multiply both sides by 11 and get
11 cos 44 = x
x = 7.9
