Answer:
Since
and
, then the quadrilateral ABCD is a parallelogram.
Step-by-step explanation:
First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then
and
. If we know that
,
,
and
, then the measure of each vector is, respectively:








Since
and
, then the quadrilateral ABCD is a parallelogram.
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:
B.
Step-by-step explanation:
We see (-10) repeating six times. This means the product would be 6(-10). To simplify this, 6 × (-10) = -60.
Answer: 14 gallons
Step-by-step explanation:
Let's call the total gallons of gas Abdul's tank can hold <em>x</em>.
Then, based on the information given in the problem, you can write the following expression:

Therefore, when you solve for x, you obtain the following result:

Given:
Find-: Slope of the line.
Sol:
The slope of line is:

Where,

Choose any point:

So, the slope of the line is:

Slope of line is 3.