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3 years ago

5

Sakura isn't a particularly active child, he tends to be wary of new situations and people. Although he doesn't cry he dislikes

dealing with novel situations He would be classified as

Advanced Placement (AP)

1 answer:

CaHeK987 [17]3 years ago

4 0

He would be classified

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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)

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

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

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3 years ago

Busca información sobre la clonación reproductiva y la

ratelena [41]

Üreme klonlama hakkında bilgi arayın ve

terapötik klonlama ve lehine iki ve argümana karşı iki argüman yazın.

KLON TİPİ

DONANIMDA

KARŞI

üreme

terapi

çevirisi budur.

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3 years ago

Many people have a negative opinion of classical music because they subscribe to common myths about this type of music.

andrew-mc [135]

True because what it is saying is true

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3 years ago

Read 2 more answers

The availability of a wide variety of goods and services is a characterisitic of a

blsea [12.9K]

The answer is command economy.

Explanation:

Command economy is the combination of both communistic and capitalistic economy.

A command economy is a system that determines what are the goods to be produced and how much should be produced and price of the goods offered for sale. They also determine investment and income.

They mostly suffer from problems with poor incentives for planners, managers and workers in state- owned enterprises.

Thus the availability of a wide variety of goods and services is a characteristic of a command economy.

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jew papi nunayno jew papi nunayno jew papi nunayno jew papi nunayno jew papi nunayno jew papi nunayno

GalinKa [24]

Jew papi munyanoooooooo

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3 years ago