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Kamila [148]
3 years ago
5

How do you write this in number form two hundred seventy-nine thousand, three hundred forty-six

Mathematics
2 answers:
jeyben [28]3 years ago
7 0

Answer:

279,346

Step-by-step explanation:

Mazyrski [523]3 years ago
3 0

Answer:

279,346

Step-by-step explanation:

two hundred seventy-nine thousand three hundred forty-six

       =            =           =           =                    =                   =      =

      2            7          9              ,                    3                  4        6

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\int\limits^0_\pi {x*sin^{m} (x)} \, dx
Ket [755]

Let

I(m) = \displaystyle \int_0^\pi x\sin^m(x)\,\mathrm dx

Integrate by parts, taking

<em>u</em> = <em>x</em>   ==>   d<em>u</em> = d<em>x</em>

d<em>v</em> = sin<em>ᵐ </em>(<em>x</em>) d<em>x</em>   ==>   <em>v</em> = ∫ sin<em>ᵐ </em>(<em>x</em>) d<em>x</em>

so that

I(m) = \displaystyle uv\bigg|_{x=0}^{x=\pi} - \int_0^\pi v\,\mathrm du = -\int_0^\pi \sin^m(x)\,\mathrm dx

There is a well-known power reduction formula for this integral. If you want to derive it for yourself, consider the cases where <em>m</em> is even or where <em>m</em> is odd.

If <em>m</em> is even, then <em>m</em> = 2<em>k</em> for some integer <em>k</em>, and we have

\sin^m(x) = \sin^{2k}(x) = \left(\sin^2(x)\right)^k = \left(\dfrac{1-\cos(2x)}2\right)^k

Expand the binomial, then use the half-angle identity

\cos^2(x)=\dfrac{1+\cos(2x)}2

as needed. The resulting integral can get messy for large <em>m</em> (or <em>k</em>).

If <em>m</em> is odd, then <em>m</em> = 2<em>k</em> + 1 for some integer <em>k</em>, and so

\sin^m(x) = \sin(x)\sin^{2k}(x) = \sin(x)\left(\sin^2(x)\right)^k = \sin(x)\left(1-\cos^2(x)\right)^k

and then substitute <em>u</em> = cos(<em>x</em>) and d<em>u</em> = -sin(<em>x</em>) d<em>x</em>, so that

I(2k+1) = \displaystyle -\int_0^\pi\sin(x)\left(1-\cos^2(x)\right)^k = \int_1^{-1}(1-u^2)^k\,\mathrm du = -\int_{-1}^1(1-u^2)^k\,\mathrm du

Expand the binomial, and so on.

8 0
3 years ago
Read carefully. 5th grade math math. correct answer will be marked brainliest.
Fed [463]

Step-by-step explanation:

18

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3 years ago
Ms. Turner takes 5 hours to drive 390 kilometers from her home to the next city.
Zarrin [17]

Answer:

Step-by-step explanation:

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Answer:

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