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, 
.
Each side is 50cm so 50cm × 4 sides = 200cm
We are concern about the vector (x-x0, y-y0, z-z0)
equaling to 5.
This happens
when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5
Square
both side:
(x-x0)^2
+ (y-y0)^2 + (z-z0)^2 = 25 , a sphere
Which you will
recognize as a circle of radius one centered at (x0, y0, z0)
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Answer:
8
Step-by-step explanation:
To find the answer, multiply 4 and 2 together, since 13 is 2 times less than 26.
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Let's double check,
26 ÷ 13 = 2
so,
4 × 2 = 8
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Have a good day :)
Volume of container = <span>π x 4^2 x 6/4 = 75.40 cubic units
volume of empty space = volume of box - volume of container = 96 - 75.40 = 20.60 cubic units
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