The second one is the function
Solution Step1 Converting 112 to base 10.
1*82=64
1*81=8
2*80=2
Adding all to get Ans=7410 <span>Step2 converting 7410 to 2</span> The equation calculation formula for 7410 number to 2 is like this below.
2|74
2|37|0
2|18|1
2|9|0
2|4|1
2|2|0
2|1|0
2|1|1
<span>Ans:10010102</span>
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:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
