Answer:
(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)
(b) The initial condition t > 0 will not make much of a difference.
Step-by-step explanation:
Given the differential equation
dx/dt= −k(x − A); t > 0, A = A_0Coswt
(a) To solve the differential equation, first separate the variables.
dx/(x - A) = -kdt
Integrating both sides, we have
ln(x - A) = -kt + c
x - A = Ce^(-kt) (Where C = ce^(-kt))
x = A + Ce^(-kx)
Now, we put A = A_0Coswt
x = A_0Coswt + Ce^(-kx) (Where C is constant.)
And we have the solution.
(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).
It is not any different from when t < 0.
Answer:
$-568 billion dollars.
Step-by-step explanation:
2,094 - 2,662= -568.
Hope this helps and good luck!
im am pretty sure it is b.sometimes because an equation can have more then one answer
16 out of 24 would equal around 67%, and that as a grade would be a D.
However, grades MAY vary from school to school.
But on average:
A= 100 through 90, B= 89 through 80, C= 79 through 70, D= 69 through 60, and an F= 59 and below that.
Keep in my mind that if your grade has digits after the decimal, it will be rounded (in your case) and that may also change your grade, for example if your grade is 79.7%, then it will be rounded to 80%, and your grade will be a B.
