Answer:

80 is the number in the square root
Step-by-step explanation:

Take the homogeneous part and find the roots to the characteristic equation:

This means the characteristic solution is

.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form

. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With

and

, you're looking for a particular solution of the form

. The functions

satisfy


where

is the Wronskian determinant of the two characteristic solutions.

So you have




So you end up with a solution

but since

is already accounted for in the characteristic solution, the particular solution is then

so that the general solution is
He uses 2 feet of the yard or... 4/6 hope this helped :3
Answer:
<em>(a). P(x) = 8x - 112,000 </em>
<em> (b). $80,000 </em>
Step-by-step explanation:
(a). P(x) = R(x) - C(x)
P(x) = 50x - 112,000 - 42x
<em>P(x) = 8x - 112,000</em>
(b). P(24,000) = 8(24,000) - 112,000 = <em>80,000</em>
----------------------------------------
(a). <em>P(x) = 8x - 112,000</em>
Answer:
30 por ciento:2250
16 por ciento:1200
Step-by-step explanation: