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stiv31 [10]
3 years ago
6

pick one female athelete from each decade and explain the sport that she played, the years that she played it, and the contribut

es that she made.to the sport and to society
Advanced Placement (AP)
1 answer:
kap26 [50]3 years ago
6 0
Search: <span>SI 60: A look at the best from each decade since Sports Illustrated's inception on google and click the first article that will help you. Remember cite sources.</span>
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AP CALC QUESTION!! WILL MARK BRAINLIEST (TWO QUESTIONS)
kodGreya [7K]

1. Using washers, the volume is given by the integral

\displaystyle\pi\int_1^{e^2}((2+2)^2-(\ln x+2)^2)\,\mathrm dx

=\boxed{\displaystyle\pi\int_1^{e^2}(20+4\ln x-(\ln x)^2)\,\mathrm dx}

We're using washers whose centers depend on the value of x, hence we integrate with respect to

2. The area of the given region is given by the integral

\displaystyle\int_0^2\sin^{-1}\frac x2\,\mathrm dx

To compute the integral, first consider the substitution u=\frac x2, or 2u=x so that 2\,\mathrm du=\mathrm dx. Then x\to0\implies u\to0 and x\to2\implies u\to1, so the integral is equivalently

\displaystyle2\int_0^1\sin^{-1}u\,\mathrm du

Integrate by parts, taking

f=\sin^{-1}u\implies\mathrm df=\dfrac{\mathrm du}{\sqrt{1-u^2}}

\mathrm dg=\mathrm du\implies g=u

so that

\displaystyle2\int_0^1\sin^{-1}u\,\mathrm du=2\left(u\sin^{-1}u\bigg|_0^1-\int_0^1\frac u{\sqrt{1-u^2}}\,\mathrm du\right)

\sin^{-1}0=0 and \sin^{-1}1=\frac\pi2, so the area is

\displaystyle\pi-2\int_0^1\frac u{\sqrt{1-u^2}}\,\mathrm du

For the remaining integral, substitute w=1-u^2, so that \mathrm dw=-2u\,\mathrm du. Then u\to0\implies w\to1 and u\to1\implies w\to0:

\displaystyle\pi-\int_0^1\frac{\mathrm dw}{\sqrt w}

(notice that the integral is improper)

\displaystyle\pi-\lim_{t\to0^+}2\sqrt w\bigg|_t^1

\displaystyle\pi-2\left(1-\lim_{t\to0^+}\sqrt t\right)=\boxed{\pi-2}

8 0
3 years ago
Write out the biographic data an intake specialist would record for your medical record if you were to go to the hospital for th
scoray [572]

To write a biographic data on an intake specialist, you start with:

  • An introduction paragraph.
  • the second paragraph should be the tell what the writeup is about.
  • The third paragraph should conclude the writeup.

<h3>What is the use of medical records?</h3>

A medical professional can make use of information about a patient’s race, religion, or ethnicity in the course of their medical care as it will  help them to know about  Information that pertains to their race and ethnicity.

Note that this will helps them to give the best and highest quality of medical  care for all their patients.

Learn more about medical records from

brainly.com/question/21819443

#SPJ1

5 0
2 years ago
THE FINAL 100 POINT GIVEAWAY! DONT FORGET TO SUB TO JUSTBRIXN ON YT!
aniked [119]

Answer:

OK!!!!!!

LETS GOOO

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3 years ago
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What is the difference in meaning between a crash and a collision?
jarptica [38.1K]
I believe that a crash and collision are different in the fact that a crash usually involved hitting something that either was not moving or that was an inanimate object. A collision is where you hit another thing that is also moving. I might be wrong but I am fairly sure that my answer is right.
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3 years ago
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Which area of the mind works based on the pleasure principle?
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That would be the id
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