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4 years ago

Which general area of policy is generally left up to the central government

Advanced Placement (AP)

2 answers:

stealth61 [152]4 years ago

6 0

The answer is A) Health :)

Fed [463]4 years ago

5 0

A. Hope this helps :)

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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

Which factor is a component of verbal communication?

Helen [10]

B or D, i would assume

4 0

4 years ago

Read 2 more answers

How many ENAJs are neither DERFs nor SIVADS?

Vitek1552 [10]

Answer:

8 is the answer.

5 0

2 years ago

Consider the consequences of Hurricane Katrina in New Orleans and the landslide in La Conchita, California. Which

Ksju [112]

I think the answer is C

a b and e are false

And for d disasters can usually be predicted

3 0

3 years ago

A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour

Aneli [31]

Answer:

The bird leaves its nest and travels 20 miles per hour downwind for 3 hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after 7 hours.

Explanation:

20 times 3 equals 60 = 6 times 4 times 2 equals 60(6 times 8

6 0

3 years ago