<img src="https://tex.z-dn.net/?f=%28m-9%29%28m-3%29" id="TexFormula1" title="(m-9)(m-3)" alt="(m-9)(m-3)" align="absmiddle" cla

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ahrayia [7]

3 years ago

ss="latex-formula">

Mathematics

1 answer:

Luda [366]3 years ago

7 0

Answer:

m^2-11m+27

Step-by-step explanation:

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Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

What is 3/4 times 12

Stella [2.4K]

Answer:

bruh its 9

Step-by-step explanation:

8 0

3 years ago

Which list shows the numbers in order from largest to smallest?

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

10/3 = 3.33

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pie =3.14

square root of 8 =2.8

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3 years ago

Which statement about the following equation is true?

spayn [35]

The given expression is

$3x^2 -8x +5 = 5x^2$

We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is

$5x^2 -3x^2 +8x -5=0$

$2x^2+ 8x -5 =0$

The formula of discriminant is

$D =b^2 -4ac$

Substituting the values of a,b and c, we will get

$D = 8^2 -4(2)(-5)=64+40 = 104$

And since the discriminant is greater than 0, or it is positive so we have two real roots.

Therefore the correct option is B .

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3 years ago

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Explian how you can find the number of feet in 20 yards

natka813 [3]

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