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3 years ago

Please help, I would appreciate it a lot

Mathematics

1 answer:

AleksAgata [21]3 years ago

8 0

Answer:

Sry, Can't help.

It's soo hard!!

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Use series to verify that<br><br> <img src="https://tex.z-dn.net/?f=y%3De%5E%7Bx%7D" id="TexFormula1" title="y=e^{x}" alt="y=e^{

SVETLANKA909090 [29]

$y = e^x\\\\\displaystyle y = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y= 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \frac{d}{dx}\left( 1+x+\frac{x^2}{2!} + \frac{x^3}{3!}+\frac{x^4}{4!}+\ldots\right)\\\\$

$\displaystyle y' = \frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{2!}\right) + \frac{d}{dx}\left(\frac{x^3}{3!}\right) + \frac{d}{dx}\left(\frac{x^4}{4!}\right)+\ldots\\\\\displaystyle y' = 0+1+\frac{2x^1}{2*1} + \frac{3x^2}{3*2!} + \frac{4x^3}{4*3!}+\ldots\\\\\displaystyle y' = 1 + x + \frac{x^2}{2!}+ \frac{x^3}{3!}+\ldots\\\\\displaystyle y' = \sum_{k=1}^{\infty}\frac{x^k}{k!}\\\\\displaystyle y' = e^{x}\\\\$

This shows that $y' = y$ is true when $y = e^x$

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Note 1: A more general solution is $y = Ce^x$ for some constant C.
Note 2: It might be tempting to say the general solution is $y = e^x+C$ , but that is not the case because $y = e^x+C \to y' = e^x+0 = e^x$ and we can see that $y' = y$ would only be true for C = 0, so that is why $y = e^x+C$ does not work.

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3 years ago

Which of the following is a quadratic function in standard form?

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Standard form is as follows...

AX^2 + BX + C

- Hope that helped! Please let me know if you need further explanation.

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3 years ago

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Can someone simplify8x + 5x please

igor_vitrenko [27]

Answer:

13x

because you would comibne like terms, so you add the 8 and 5.

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3 years ago

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PLZZZZ answer correctly!! it's IMPORTANT!!

lara [203]

This is what I got and hopefully it helps.

1.A The dot is not filled and it points in the left direction

2.B The dot is filled and it points to the left

3.A The dot is not filled and it is pointed in the left direction

4.C The dot is filled and is pointing in the right direction.

Whenever you have a filled dot it will always be a greater than or equal to or less than or equal to. When the dot is not filled, the answer will always be greater than or less than.

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3 years ago

A boy bought a sandwhich 49 inches long. He want to cut it into 3 pieces. the middle piece is 5 inches longer than the shortest

miss Akunina [59]

S+M+L=49

(L-8)+(S+5)+L=49

2L+S=49

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3 years ago