Answer:
Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.
In first place, we need to know all the values the problem is giving:
- The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
- The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
- The initial condition is y(0) = 9. In other words,
.
So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: 
; then 
; 
; and so on.
Now, we have to apply the formula to find each y-value until get the match of 
, because the problem asks the solution y(1).
According to the Euler's method:
Where 
, and 
; 
.
Replacing all values we calculate the y-value assigned to 
:
.
Now, 
, 
. We repeat the process with the new values:
Then, we repeat the same process until get the y-value for 
, which is 
, round to four decimal places.
Therefore, 
.
Answer:
The ordered pair generated from the equation is (1, 6).
Step-by-step explanation:
An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.
The equation provided is:
Check for all the options:
- A (1, 6):
- B (1, 2):
- C (3, 6):
- D (8, 16):
Thus, the ordered pair generated from the equation is (1, 6).
Answer:
60%
Step-by-step explanation:
100 is the entire thing and if you convert it into a percentage it is 100%. But the difference between 100% to 160% is 60%.
CAC can be changed into CAAC. This is because the first rule says that any letter can change into an A so
CAC=CAA
The last condition says that when you double , you have to double all letters,
Since A has been doubled,C needs to be doubled too.So:
CAA=CAAC
