3 years ago

Create at least three equations where the quadratic has a vertex of (-3,-4). Explain how you would do that, please.

Mathematics

1 answer:

Helen [10]3 years ago

5 0

$vertex = \binom{ - \frac{b}{2a} }{ \frac{4ac - {b}^{2} }{4a} }$

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sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

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3 years ago

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Eduardwww [97]

Answer:

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Step-by-step explanation:

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3 years ago

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The answers are:

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I hope this helps you. Good luck with your work!</span>

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