Answer:
2x2−x2 2 x 2 - x 2. Subtract x2 x 2 from 2x2 2 x 2 . x2 x 2. 2x2−x2 2 x 2 - x 2. (. [. ([. ) ] )] |. |. √. √... > ≥. >≥.......... 7. 7. 8. 8. 9. 9.
Step-by-step explanation:
work it out dude
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: x=14.4
Step-by-step explanation:
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Answer:
8¹
Step-by-step explanation:
The given expression is :
8 to the power 1.
We need to write it in exponential form.
If we write 10³, here 10 is base and 3 is exponent.
8 to the power 1 = 8¹
The base is 8 and exponent is 1.
Hence, the exponential form is 8¹.
