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ahrayia [7]
3 years ago
11

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:

C

Step-by-step explanation:

10/3 = 3.33

3.3 = 3.3

pie =3.14

square root of 8 =2.8

4 0
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 .

7 0
3 years ago
Read 2 more answers
Explian how you can find the number of feet in 20 yards
natka813 [3]
1 yard is = to 3 feet.
20 yards = to 20 X 3 feet
your answer is 60 feet
3 0
3 years ago
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