The <em><u>correct answer</u></em> is:

Explanation:
To write a composite function, we apply one function to another given function. In this case, we want to find area in terms of time; this means that the function A(r) gets applied to the function r(t).
In order to do this, we replace r with r(t). We already know that r(t)=0.5+2t; this means we replace r with 0.5+2t:
A(r(t))=π(0.5+2t)²
To simplify this, we simplify the squared term:
A(r(t)) = π(0.5+2t)(0.5+2t)
A(r(t)) = π(0.5*0.5+0.5*2t+2t*0.5+2t*2t)
A(r(t)) = π(0.25+t+t+4t²)
A(r(t)) = π(0.25+2t+4t²)
Answer 6 years. Explanation if lisa only pays $20 minimum monthly payment, it would take her 76 months just to get done with her payment
Answer: this problem has only trivial solutions, with all points on the same line. x=5 or x=7/5.
Step-by-step explanation:
There are three triangles, and three unknowns: x, y=length of middle segment, and z=cos(angles marked with red arc).
We need

and law of cosines,

The three equations are



See attached image for solution.
y = \frac{-x}{2 } + \frac{1}{4} + ce^-{2x} is the general solution to the differential equation put the problem in standard form.
What is meant by integrating factor?
- A function called an integrating factor is used to solve differential equations in mathematics. It is a function that can be made integrable by multiplying it by an ordinary differential equation.
- Ordinary differential equations are typically solved using this method. This factor is also applicable to multivariable calculus.
x² + 2xy + x . dy/dx = 0
x dy/dx + 2xy = 


integration factor p(x) = u(x) = 
Now ,multiply
both sides



integrate both sides
∫
= ∫


Learn more about integrating factor
brainly.com/question/25527442
#SPJ4
The complete question is -
Find the general solution to the differential equation 2 dy X+ + 2xy + x dx = 0 Put the problem in standard form. Find the integrating factor, p(x) = 2x - Find y(x) Use C as the unknown constant.