Y=x-2
..........................
.
Answer:
Yes.
Step-by-step explanation:
Since there is an overlap, that does mean some people with brown hair do wear watches, but not all of them do. Hence it's independent.
Answer:
2x^2 + 4x+2
Step-by-step explanation:
f(x) = 2x^2 + x and g(x) = 3x + 2
f(x) + g(x) = 2x^2 + x + 3x + 2
Combine like terms
= 2x^2 + 4x+2
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
Answer:
x = 35 feet.
Step-by-step explanation:
Given that,
The height of the person is 5 feet.
The height of the flag and the eye is (x-5) feet.
We can calculate using trigonometry.

So, the value of x is equal to 35 feet. The correct option is (c).