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
4 1/4 cup servings
hope this helps
Answer:
140/130 > 104%
Step-by-step explanation:
When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%
Answer:
Step-by-step explanation:
Given is a steam and leaf plot.
This shows the age of customers who were interviewed in a survey by a store.
From the plot we can say that 10th digit is represented by the stem
For greater than 32, obviously 1,2 stem valus will not work.
For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem
We have 32, onwards 7 persons
Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1
Total number of customers who have ages more than 32 years = 21
