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borishaifa [10]
3 years ago
11

Is x= -2 -1 3 6 and y =-3 0 8 11 linear or nonlinear

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

y =-3 0 8 11 is a linear

Step-by-step explanation:

If you check it.


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With convolution theorem the equation is proved.

According to the statement

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A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

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So, According to this theorem the equation becomes the

\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).

Then after solving, it become and with theorem it says that the

\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

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