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3 years ago

The ______ cycle has been recycling and redistributing the same fixed supply of water throughout Earth's history.

Advanced Placement (AP)

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

water

Explanation:

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college algrbra - please help FAST Given that f(x)=x^2−9x and g(x)=x−3, calculate (f∘g)(x) or f(g(x))

kondaur [170]

Answer:

x^3-12x^2-27x

Explanation:

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3 years ago

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

The two defining characteristics of a biome are __________.

earnstyle [38]

C)
climate and dominant animal life

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4 years ago

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What are the factors of m2 – 12m + 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4

Nookie1986 [14]

Answer:

m - 10 and m - 2

Explanation:

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3 years ago

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5. Describe one issue with the US Census.

Elena-2011 [213]

Answer: So one issue is that it doesnt take in count homeless people. Another is that it can not get an accurate amount because illegal immigrant are scared that they will be caught if they submit a census. One more is that it broadly categorizes as "Hispanic", or "African American", whereas there are people from non-african descent who came from jamaica.

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3 years ago