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3 years ago

What number lies between -2 and -3

Mathematics

1 answer:

Alex73 [517]3 years ago

7 0

Answer:

-2.5?

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

Simplify. pls pls pls helppp im really bad at math lol<br> a) 6 √3+ 4<br> b) 6 √6+ 3<br> c) 4 √3 + 6

Mandarinka [93]

I think your answer is going to b

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3 years ago

Write the equation of the line with the given slope and y-intercept. slope = 1 y-intercept = -3 4 A) y = x - 3/ 4 B) x = y - 3 /

Komok [63]

Answer:

y=x-3/4

Step-by-step explanation:

y-int is b (y=mx+b) so the slope is m. all u have to do is plug in

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3 years ago

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What is the parent function of g(x)=-3f(x+2). NEED HELP ASAP.

bezimeni [28]

Answer:

f ( x ) = x

Step-by-step explanation:

The parent function is the simplest form of the type of function given

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3 years ago

If you spend $60 for dinner at the restaurant, what should be your 15% tip?

LUCKY_DIMON [66]

Answer:

.15 * 60 = 9

Step-by-step explanation:

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2 years ago

What number lies between -2 and -3​

What number lies between -2 and -3