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:
C
Step-by-step explanation:
In arithmetic series
we have
Thus, the value of the series is equal to the value of the 24th number in the series.
THIS IS VERY TRUE! Have a great Tuesday!
Answer:
24
Step-by-step explanation:
12+4+8= 24
12+12=24
8+4=12
Your answer is 24
Answer: D. Matthew’s, Rhoda’s, and Ming’s
Step-by-step explanation:
√0.89 ≈ 0.94
Anyah is incorrect because both of her decimals are smaller than √0.89.
Matthew is correct because 0 is less than 0.89 but 1 is still greater than 0.89.
Rhoda is correct because 0.9² is 0.81 is less than 0.89 but 1.0² is 1 which is still greater than 0.89.
Ming is correct because 0.93² is about 0.87 which is less than 0.89 but 0.95² is about 0.9 which is still greater than 0.89.
I hope this helps!
