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Gnesinka [82]
3 years ago
7

Imagine an athlete several days after a concussion. She is still feeling a little out of it, but her friends and teammates are r

eally starting to pressure them to return to play since playoffs start next week.
Advanced Placement (AP)
1 answer:
Mrac [35]3 years ago
8 0

Answer:

Are you asking what she should do? If you're asking that i suggest whoever it is that got hurt to decide for herself. If the concussion is very bad and she have seen a doctor and they told you to sit out or something else then you should do as told. But if its mild, then she can know her limits and what she wants to do.

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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
Please HELP<br> An explanation of how a cellular network works with a example.
tensa zangetsu [6.8K]

Answer:

Radio waves are used to transfer signals to and from the cell phone. Modern mobile phone networks use cells because radio frequencies are a limited, shared resource.

All of the cell sites are connected to telephone exchanges (or switches), which in turn connect to the public telephone network.

8 0
3 years ago
Read 2 more answers
1. Identify types of maps, the types of information presented in maps, and different kinds spatial patterns and
dexar [7]
Types of maps include reference maps and thematic maps.
Types of spatial patterns represented on maps include absolute and relative distance and direction, clustering, dispersal, and elevation.
5 0
3 years ago
The United States military desegregated completely during World War II. True or False?
shtirl [24]
The United States military was desegregated in 1948. World War ll was from 1939-1945, so the answer would be False.
5 0
4 years ago
CH4(g) gas reacts with F2(g) to produce CH3F(g) and HF(g).
Vlad1618 [11]

Answer:

- 484 KJ/mol

Explanation:

The reaction equation is;

CH4(g) + F2 (g) ------> CH3F(g) + HF(g)

The enthalpy of the reaction can be calculated from bond energies using the formula;

ΔHreaction = Bond energy of reactants - bond energy of products

or

ΔHreaction = Bonds broken - bonds formed

[4(413) + 1(155) - 3(413) + 1(485) + 1(567)]

[(1652 + 155) - (1239 + 485 + 567)]

[1807 - 2291]

= - 484 KJ/mol

8 0
3 years ago
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