The answer for y is positive
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:
11×20
Step-by-step explanation:
15 + 5 = 20
You have to use Pythagorean theorem
12^2+20^2 = x^2
sqrt(144*400) = x^2
sqrt(544) = x
X = 4 sqrt(34)
Answer:
an increase of 12%
Step-by-step explanation:
68 divided by 77 is 0.88 approximately
100-88 is 12
Tip:
do this for increase and decrease in percentage question
divide small number by big number, and subtract the quotient from 100