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attashe74 [19]
3 years ago
5

Write a ratio for each situation in three ways .between 1899 and 1900,284 out of 1000 people in the united states were 5 to 17 y

ears old
Mathematics
1 answer:
Tanya [424]3 years ago
4 0
5:17, 1899 to 1900, 284/1000

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Write the equation of the line that passes through the points (4, -3) and
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Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

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|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

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The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

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Maru [420]

Answer:

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2 x y^2 (x y - 1) (x y - 3)

6 0
3 years ago
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