The solution depends on the value of 

. To make things simple, assume 

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution 

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be 

. Then

So you have


This means


and so the general solution would be
 
 
        
        
        
P(z < 3)
From the normal distribution table,
P(z < 3) = 0.9987
        
             
        
        
        
Answer: .00604
Step-by-step explanation:
Hope this helps 
 
        
             
        
        
        
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle. 
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.