3 years ago

X=(X-2), Y=(X+3), Z=-X

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

That’s hard really I think

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Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

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2 years ago

Which of these four sets of side lengths will form a right trangle?

Mrac [35]

answer:

set 4

Step-by-step explanation:

because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle

4 0

1 year ago

PLS HELP BRAINLIEST AND EXTRA POINTS !

Svetlanka [38]

Answer:

Step-by-step explanation:

4 + 12 + 18 + 68= 102/2 51

40 + 28 + 52 + 76= 196/2 98

51:98

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2 years ago

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Kim got a prize point for every four raffle tickets she sold. She sold 362 raffle tickets. How many prize points did she get?

Diano4ka-milaya [45]

Answer:90 1/2

Step-by-step explanation:

She sold 362 tickets

She gets prize point for every 4 tickets

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2 years ago

I PROMISE BRAINIEST IF YOU HELP ME

Elan Coil [88]

Answer:

The associative property

Step-by-step explanation:

:/ wait its u again lol

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2 years ago