Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
Does not represent a polynomial
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
2. Just find the prime factors of 128 and simplify
3.- Get the square roots and simplify
3i + 4i
7i
4.- None of the choices is equal to one, because the exponents are pair.
5.- 1/3x² + 10 = 7
1/3x² = 7 - 10
1/3x² = -3
x² = -3(3)
x² = -9
x = ±3i
Not sure I’ll be back with the anwer I need to get my calculator
Answer:
C. ⁸/125
Step-by-step explanation:
The volume of the right rectangular prism = 8 × volume of 1 cube
Volume of cube = a³
Where,
a = ⅕ inch
Volume of 1 cube = (⅕)³
= 1/125 cubic inch
✔️Volume of the rectangular prism = 8 × ¹/125
= ⁸/125 cubic inch