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
The answer is 9.5 ( rounded, answer is 9.486833)
Answer: -8.66666666667
Step-by-step explanation: Do it step by step. So 19+7= 26
Then 2-5= 3
So 26 divided by -3 = -8.66666666667
Answer:
18617.66 ft^2
Step-by-step explanation:
sides of triangular base
a= 145ft ,
b = 257ft ,
c = 290ft
<u>calculate the area of the base </u>
The base is a scalene triangle hence the area is calculated as follows
s = ( a + b + c ) / 2
= ( 145 + 257 + 290 ) / 2 = 346
Area of triangle = 
= 18617.66 ft^2
540-35x= y
540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.
