Answer:
I believe the equation would be n - 2 = -15.
Step-by-step explanation:
"4 less than a number (n)" is subtraction. You can write it as "n minus 4". "is -15" means this is the difference. This can also be written as "equals -15".
n - 4 = -15
Hope this helps,
♥<em>.A.W.E</em><u><em>.S.W.A.N.</em></u>♥
Answer:
[27,3) i think
Step-by-step explanation:
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:
c = 208.8
Step-by-step explanation:
a. 
<em>To solve for C, you need to get the variable on one side of the equation and the numbers on the other side of the equation.</em>
b. <em>You need to move the 7.2 to the other side. So, </em><em>multiply</em><em> both sides by 7.2, because it's being divided, so multiplying will cancel it out.</em>
c: 
<em>Then, multiply 7.2 by 29. (The * symbol means multiply)</em>
d. c. = 208.8 <em>The answer is 208.8, which is rounded to the tenths place.</em>
Hope this helps! I tried to explain it in detail. :)
