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nordsb [41]
3 years ago
12

PLEASE HELP ME GUYS!!

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

\frac{7}{3}

Step-by-step explanation:

csc(Ф) is equivalent to the inverse of sin(Ф)

  • csc = \frac{1}{sin}

Since sin(Ф) = 3/7, the inverse of this would be 7/3

So, csc = \frac{1}{\frac{3}{7} }=\frac{7}{3}

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monitta

Let f(x)=e^{-1/x}. Then f'(x)=\frac1{x^2}e^{-1/x}>0 for all x\ge2, so f is strictly increasing. As x\to\infty, e^{-1/x}\to e^0=1, so f is bounded above by 1. This is to say,

e^{-1/x}

and the integral of \frac1{x^2} converges over the same domain, so this integral must also converge by comparison.

We have, by setting y=-\frac1x,

\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}

8 0
3 years ago
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Eddi Din [679]

Answer:

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Step-by-step explanation:

Step 1:

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Step 2:

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Step 4:

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Hope This Helps :)

3 0
3 years ago
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Step-by-step explanation:

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The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the s
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2.7 + 3.5 is not greater than 9.8.

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3 years ago
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