C, the median is 23 when you add 13 + 10. Then you divide 23 and 2.
A nonlinear function is a function whose graph is not a line or part of a line. Ex: 2, 5, 7, 9, 19, 28, 30, 31, 50, 55, 56, 57, 60, 70, 75...
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.
Six hundred, eighty thousand, seven hundred and five
Answer:
Step-by-step explanation:
it doesn't really say what the "face" is, but i'll guess that it's the part marked in yellow? if that's the case then it's just 10 * 10 twice for each of the squares. Really you couldn't see that? :/ 200 is the answer
