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3 years ago

Which statement is true?

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Answer:

1 yard = 3 feet

Step-by-step explanation:

1 yard = 3 feet

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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

PLEASE HELP

Harlamova29_29 [7]

The sum of exterior angles in total: 360 degrees

6th angle = 78+50+89+37+65= 319
Then 360-319= 41 degrees

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2 years ago

Evaluate the expression when y = 5.<br> 3y2<br> 3y2 =

noname [10]

Answer:

17 is the answers to the question

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2 years ago

Kim has fraction 1 over 2 cup of almonds. she uses fraction 1 over 8 cup of almonds to make a batch of pancakes. part a: how man

Vesna [10]

She can make 4 batches of pancakes

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3 years ago

Help me on my math homework first and correct one gets brain.lyest :)

stira [4]

The answer is the third choice they both equal -16/77. Hope this helps:)

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2 years ago

Read 2 more answers