The solution depends on the value of
. To make things simple, assume
. The homogeneous part of the equation is
and has characteristic equation
which admits the characteristic solution
.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be
. Then
So you have
This means
and so the general solution would be
Answer:
2
Step-by-step explanation:
The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.
So we are going to need to corresponding y coordinates.
What y corresponds to x=1? y=3
What y corresponds to x=2? y=5
So we have the ordered pairs (1,3) and (2,5).
Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.
(2 , 5)
-(1 , 3)
-----------
1 2
The average rate of change is 2/1 or just 2.
Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.
I believe the equation should be set up like this: 85 + 5x + 5x + 5x - 10 + 5x + 5 = 540. Don't forget to combine like terms! Please let me know by sending me a message if you need any more help :)
2 meters are 200 centimeters
you will need to know how many friends she has...
but, supposing she has 4 friends, each friend would get 50 centimeters...
i'm not really sure how to write that in a mixed number, but I hope this helps!!
