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timurjin [86]
3 years ago
12

Anyone PLEASE help!!! I will give brianliest

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

its the second one.

Step-by-step explanation:

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Why is the answer to this integral's denominator have 1+pi^2
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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
Which of the following shows the graph of the eniquality y&gt;x+3<br><br> PLEASE include image
7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm  check the point say (0,2), x = 0, y = 2.

y > x + 3

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2 > 3  <--- is that true?  is 2 really larger than 3?  nope, so is false.

that simply means that the point (0, 2)  is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.


check the picture below.

5 0
3 years ago
Write the equation of the line in slope-intercept form that has: slope: 3 point: (0, 2) *
Luda [366]

Answer:y = 3x + 2

Step-by-step explanation: y = mx + b

Where m is the slope and b is the y-intercept.  

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Jack's mom is purchasing thirteen tickets at a price of $11 each. This equals a total of $143 in total spent. If Jack's mom has a credit card limit of $500, then after purchasing $143 with the card, her available amount to purchase additional things is $357. This impact on her available credit is due to credit cards working on an available balance system. When Jack's mom first received her credit card, a set balance or total amount she could purchase with the card was set. In this example, her total amount she could purchase with the card was $500. After her purchase of the tickets for $143 was completed, she subtracted that amount from her total available of $500 and that is why her available amount to purchase is now $357.
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How do you write 6,900 in scientific notation?<br> * 10
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Answer:

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Step-by-step explanation:

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