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:
x=1
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to −
2
+
2
y
=
5
.
Answer:
A.) 15.60=11.40+10x
Step-by-step explanation:
okay we know kathy spent 15.60 in total at the post office
so we know 15.60 will be after the equal sign.
she paid 11.40 only on the package
and rest of money was on stamps.
15.60-11.40= 4.20
so she used 4 dollars and 20 cents for stamps if she bought 10 we need to divied 4.20/10=0.42
0.42 cents for each stamps so we need a equation that will give us this answer.
Me i go thru each one and solve for x
lucky for me i just need to solve one
because equation A solves it correctly.
15.60=11.40+10x
subtract 11.40 on both sides
15.60-11.40
4.20=10x
now we divide 10 on each side
4.20/10=0.42
x=0.42
Answer:
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Step-by-step explanation:
kddjdjdkdodidjdjddjdidodododkdjddjdjdjdidodldlddnnxkddo
Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
