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Svetradugi [14.3K]
3 years ago
15

Write an expression for the sequence of operations described below. divide 4 by u , then multiply t by the result Do not simplif

y any part of the expression.
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

The unsimplified equation would be:

(\frac{4}{u} )t

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What is the definite integral of log (tan x) with range from 90 to 0
nasty-shy [4]

Substituting <em>x</em> with <em>π</em>/2 - <em>x</em> gives the equivalent integral,

\displaystyle\int_0^{\frac\pi2}\log(\tan(x))\,\mathrm dx=-\int_{\frac\pi2}^0\log(\cot(x))(-\mathrm dx)=\int_0^{\frac\pi2}\log(\cot(x))\,\mathrm dx

So if we let <em>J</em> denote the value of the integral, we have

J=\displaystyle\int_0^{\frac\pi2}\log(\tan (x))\,\mathrm dx

J=\displaystyle\int_0^{\frac\pi2}\log(\cot (x))\,\mathrm dx

\implies 2J=\displaystyle\int_0^{\frac\pi2}\left(\log(\tan (x))+\log(\cot (x))\right)\,\mathrm dx

Condensing the logarithms, we have

log(tan(<em>x</em>)) + log(cot(<em>x</em>)) = log(tan(<em>x</em>) cot(<em>x</em>)) = log(1) = 0

since cot(<em>x</em>) = 1/tan(<em>x</em>), which means

2J=\displaystyle\int_0^{\frac\pi2}0\,\mathrm dx=0

and so the original integral has a value of <em>J</em> = 0.

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3 years ago
When mindy went to china she exchanged her $1 for 6.589 yaun. What place is in the hundredths place of 6.589?
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The 8 is in the hundredths place.


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4 years ago
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Answer:

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