Answer:
- The general solution is

- The error in the approximations to y(0.2), y(0.6), and y(1):



Step-by-step explanation:
<em>Point a:</em>
The Euler's method states that:
where 
We have that
,
,
, 
- We need to find
for
, when
,
using the Euler's method.
So you need to:




- We need to find
for
, when
,
using the Euler's method.
So you need to:




The Euler's Method is detailed in the following table.
<em>Point b:</em>
To find the general solution of
you need to:
Rewrite in the form of a first order separable ODE:

Integrate each side:



We know the initial condition y(0) = 3, we are going to use it to find the value of 

So we have:

Solving for <em>y</em> we get:

<em>Point c:</em>
To compute the error in the approximations y(0.2), y(0.6), and y(1) you need to:
Find the values y(0.2), y(0.6), and y(1) using 



Next, where
are from the table.



Pretty easy little one hehe, hoped this helped 1m=1000mm
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
In order to find the median of the data you take every value and order it from least to greatest. When you do this make sure you write a number the correct amount of times. for example if there are 4 dots above 6 on the dot plot then you need to make sure you write 6 4 times. After you have all the data from least to greatest find the number in the middle. that is the median.
Answer:
Option C.
Step-by-step explanation:
Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.
Let x be the length of one leg.
From the given figure it is clear that length of both legs are same.
According to the Pythagoras theorem, in a right angled triangle

Substitute
in the above formula.



Divide both sides by 2.

Taking square root on both sides.

The length of one leg is 22 units.
Therefore, the correct option is C.