PLEASE ANSWER ALL 5 OF THESE QUESTIONS. PLEASE PLEASE NO FAKE ANSWERS AND I NEED HELP AND FAST.

Mathematics

2 answers:

Nana76 [90]3 years ago

6 0

The first one is graph 2 because he builds nearly no speed, drops to zero and then starts up again
the second one is graph 3 because rider had consistent speed then slowed down at a marked point
the third one is graph 1 because slow building and then to constant

I've never seen a type of question like 4 and 5.
Sorry this is all the help that I can be.

kiruha [24]3 years ago

4 0

the first one is graph two

The second one is graph 3 because he didn't stop he slowed down.

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a. $\mathbf{Y(s) = L \{y(t)\} = \dfrac{7}{s(s+1)}+ \dfrac{e^{-3s}}{s+1}}$

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Step-by-step explanation:

The initial value problem is given as:

$y' +y = 7+\delta (t-3) \\ \\ y(0)=0$

Applying laplace transformation on the expression $y' +y = 7+\delta (t-3)$

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Taking inverse of Laplace transformation

$y(t) = 7 L^{-1} [ \dfrac{1}{(s+1)}] + L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{(s+1)-s}{s(s+1)}] +L^{-1} [\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7L^{-1} [\dfrac{1}{s}-\dfrac{1}{s+1}] + L^{-1}[\dfrac{e^{-3s}}{s+1}] \\ \\ y(t) = 7 [1-e^{-t} ] + L^{-1} [\dfrac{e^{-3s}}{s+1}]$