Answer:
0.2425373
Step-by-step explanation:
78 divided by 321.6 equals to 0.2425373
Answer:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
Step-by-step explanation:
y" + y' + y = 1
This is a second order nonhomogenous differential equation with constant coefficients.
First, find the roots of the complementary solution.
y" + y' + y = 0
r² + r + 1 = 0
r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)
r = [ -1 ± √(1 − 4) ] / 2
r = -1/2 ± i√3/2
These roots are complex, so the complementary solution is:
y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)
Next, assume the particular solution has the form of the right hand side of the differential equation. In this case, a constant.
y = c
Plug this into the differential equation and use undetermined coefficients to solve:
y" + y' + y = 1
0 + 0 + c = 1
c = 1
So the total solution is:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
To solve for c₁ and c₂, you need to be given initial conditions.
Answer:
The answer to your question is: midsegment = 35 units
Step-by-step explanation:
Use the Thales' theorem
43( 3x + 55) = 86( 6x + 5)
129x + 2365 = 516x + 430
129x - 516x = 430 - 2365
-387x = -1935
x = -1935 / -387
x = 5
Midpoint length = 6(5) + 5
= 30 + 5
= 35 units
1 Hour is longest then 1 minute then 1 second is shortest
Answer:
1. −6x+21
2. −47b+19
3. -6x + 21
4. 5 + 47x
5.−6x+39
Step-by-step explanation:
