Mathematics: A scientist wants to compare the behavior of dolphins in a part of the Gulf of Mexico contaminated by an oil spill to the behavior of dolphins in a part of the Gulf of Mexico not affected by the oil spill. Which of the following is the best description of the research design for this study?

By DeMoivre s theorem,You then haveConverting back to hyperbolic functions, you get...

A scientist wants to compare the behavior of dolphins

Ответ:

cmflores3245

30.01.2022

Mathematics

Observational study

Step-by-step explanation:

In a sample survey, participants answer a survey or questionnaire.

In an observational study, a sample is only observed without any manipulation.

In an experiment, random samples are selected. One sample is then given an experimental treatment, and the effects (if any) are measured.

In this case, the scientist is not randomly selecting his samples, controlling the variables, or directly manipulating the dolphins' environment. He is only observing the behavior of two different groups. So this is an observational study.

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Ответ:

Ladyt916

07.03.2023

Mathematics

$\cosh ax+\sinh ax=e^{ax}=(e^x)^a=(\cosh x+\sinh x)^a$

$\cosh x=\cos ix$
$\sinh x=-i\sin ix$

By DeMoivre's theorem,

$\cos3ix-\sin3ix=(\cos ix-i\sin ix)^3=\cos^3ix-3i\cos^2ix\sin ix-3\cos ix\sin^2ix+i\sin^3ix$

You then have

$\cos3ix=\mathrm{Re}\left[(\cos ix-i\sin ix)^3\right]$
$\cos3ix=\cos^3ix-3\cos ix\sin^2ix$
$\cos3ix=\cos^3ix+3\cos ix(-i\sin ix)^2$

Converting back to hyperbolic functions, you get

$\cosh3x=\cosh^3x+3\cosh x\sinh^2x$

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A scientist wants to compare the behavior of dolphins in a part of the Gulf of Mexico contaminated by an oil spill to the behavior of dolphins in a part of the Gulf of Mexico not affected by the oil spill. Which of the following is the best description of the research design for this study?

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