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