has characteristic equation
with roots at 
. Then the characteristic solution is
For the particular solution, consider the ansatz 
, whose first and second derivatives vanish. Substitute 
and its derivatives into the equation:
Then the general solution to the equation is
With 
, we have
and with 
,
Then the particular solution to the equation is
If you multiply 5.06 by 47.058 you will get 238.11348
(5,-3) (-1,6)
y=mx+b
calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5
y=-1.5x+b
insert the (5, -3) point to calculate b:
-3=-1.5*5+b
-3=-7.5+b
4.5=b
b=the y intercept, so the line intercepts x=0 at y=4.5
A = 3,953 in²
You find the area of the whole triangle:
1/2bh = 1/2(63+31)(63+62) = 5875
Then subtract the missing rectangle:
lw = (62)(31) = 1922
5875 - 1922 = 3953 inches
Since you're multiplying inches by inches, it's inches².
Answer:
Yes, it simplifies to 1/6.
Step-by-step explanation:
Both the top (numerator) and bottom (denominator) can be both divided by 3. 3 divided by 3 is 1. 18 divided by 3 is 6.
