X = 21 + 34
Answer: x = 55°
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.



Answer:
2/5 = 4/10
4/10 = 40%
Explanation:
2/5 is a simplified fraction, and one of the bigger fractions it’s made by 4/10. Do you can use 4/10, but can also use 8/20, 20/50, 40/100, so on. Since we know that any fraction that of ten can be turned into a percentage easily (2/10=20%, 5/10=50%,9/10=%90), then 4/10 is equal to 40%. So 40% of the people in Jeremiah’s class are boys.
126 liters of pure water should be added
<em><u>Solution:</u></em>
Let "x" be the liters of pure water
Then, 18 + x is the liters of final solution
18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used
Pure water is 100%
Then according to question, we can say,
"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water
Thus we frame a equation as:
Equation:
water + water = water


Thus 126 liters of pure water should be added