Answer:
x=-3
Step-by-step explanation:
(4)(2) + 4x = -4
multiply the 4 and 2
8 + 4x = -4
subtract 8 from both sides
4x = -12
divide both sides by 4
x = -3
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.
Hopes this helps:
Answer: 7/25
1. Cancel 8.
1/25 • 7
2. Simplify.
7/25
Answer:
<h3>The answer is 10.42 %</h3>
Step-by-step explanation:
The percentage error of a certain measurement can be found by using the formula
From the question
actual mass = 240 g
error = 265 - 240 = 25
So we have
We have the final answer as
<h3>10.42 %</h3>
Hope this helps you
Answer:no
Step-by-step explanation:
Because if he got 2 and the other boy got 4 then the other boy had 2 more that he did
