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mamaluj [8]
3 years ago
9

Twelve years ago, Mandy's father was 5 times as old as she. Mandy's father was 28 years older than she. How old is Mandy now?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0
Mandy father was 28
Mandy father = 5M=28
M=28/5
Now Mandy will be 28/5+12= 17.6 years
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Answer

(a) F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

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Step-by-step explanation:

(a) f(t) = 20.5 + 10t + t^2 + δ(t)

where δ(t) = unit impulse function

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F(s) = \int\limits^a_0 f(s)e^{-st} \, dt

where a = ∞

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where d(t) = δ(t)

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Integrating, we have:

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F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt

F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt

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