Answer:
g = h(e-10)
Step-by-step explanation:
You can multiply the whole equation by h to get g by itself.
Order of operations (from high priority to low priority):
Parentheses
Exponents
Multiplications/Division
Addition/Subtraction
All in left to right.
2 ÷ (5 + 3)⁻¹ ÷ 4
2 ÷ (8)⁻¹ ÷ 4
2 ÷ 1/8 ÷ 4
16 ÷ 4
= 4
Answer:
a is the answer
Step-by-step explanation:
a is the answer because the way they are being multiplied are consistent, while the others arent.
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.
Negative association i think is the correct answer
