Since the lines are parallel their slopes are equal. So, the equation is y=4x+b
Now we need to find the y-intercept, which is b.
Now, Plug in point p to find b:
3=4*(-1)+b
b=3+4=7
The equation is: y=4x+7
        
             
        
        
        
2/3 hour =2/3×60 min=40 min
2/3 hour=2/3×3600 seconds=2400seconds
 
        
             
        
        
        
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
 where 
We have that  ,
,  ,
,  ,
, 
- We need to find  for for , when , when , , using the Euler's method. using the Euler's method.
So you need to:




- We need to find  for for , when , when , , using the Euler's method. 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:
 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.
 are from the table.



 
        
             
        
        
        
Answer:
130 yd^2
Step-by-step explanation:
First we find the area of the triangle
A = 1/2 b h  where b is 10 and h= 6.25
A = 1/2 (10) * 6.25
    = 31.25 yd^2
Then we find the area of rectangle A
A = l*w  where l is 10 and w = (7.5-2.5) = 5
A = 10 * 5 
    = 50 yd^2
Then we find the area of rectangle B
A = l*w  where l is 6.5 and w = 7.5
A = 6.5 * 7.5 
    = 48.75 yd^2
The total area is found by adding them together
A triangle + rectangle A  + rectangle B
31.25+50 + 48.75
130 yd^2