When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture.
When the term is s^2, that must mean that the equation is 1!/s^(1+1) to yield 1/s^2. This means that n=1. Taking the reciprocal s^2 must be equal to 1/t. Thus, for the first term, -11s^2 is equal to -11/t. For the second term, n must be equal to 6 so that 6!/s^(6+1) would yield 720/s^7. Thus, 720s^7 is equal to 1/t^6.
Hence, the transformed equation is
-11/t - 1/t^6
The numbers are increasing by positive 10 each time. So the rate of change is 10.
.416 is rounded to the nearest thousandth
Answer:
y= x-3
Step-by-step explanation:
The points are ;(0, -3), (5,2), (7,4), (10,7).
Plot the coordinates on a graph tool to visualize the graph
Select two points to find the slope ; take point (5,2) and (10,7)
m=Δy/Δx
Δy = 7-2=5
Δx=10-5 = 5
m=5/5 =1
The equation of the graph will be;
m= Δy/Δx
1=y-4/x-7
x-7 = y-4
x-7+4=y
x-3=y
y= x-3
Answer:
24 Cats.
Step-by-step explanation:
You can set up an inequality of 21/18 and 28/x.
Multiply 18 and 28, you get 504. Divide 504 by 21 and you get your answer of 24.