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2 years ago

Question in picture solve

Mathematics

1 answer:

anzhelika [568]2 years ago

7 0

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

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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

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

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

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

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

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2 years ago

Are these two lines parallel, perpendicular or neither?<br> y = -1/3x - 5<br> y = 1/3x + 2

Thepotemich [5.8K]

Parallel because they have the same slope

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2 years ago

.................................................

Andrej [43]

Answer: …………..

Step-by-step explanation:

……………..

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3 years ago

A. The seats are divided into 40 different sections thats are given in only 5 sections, what

SVETLANKA909090 [29]

Answer: 40 / 5 = 8 There would be 8 guests sitting in a section that gets hats.

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3 years ago

Solve each inequality:

Talja [164]

It should be the answers if not sorry
Answer:
A) X<1
B) X>7
C)X<6
D)X>-3

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2 years ago