The negative feedback process ______

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

What is the source of the internal conflict acknowledged by the speaker?

Andrej [43]

Answer:

She realizes that her race and gender will make it difficult for her to achieve her goals.

Explanation:

5 0

3 years ago

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During which of those two phases of the moon does the greater spring tide happen?

Darya [45]

During full or new moons

3 0

3 years ago

Outline the three types of vertical coordination and then describe the key difference between it and vertical integration.

gogolik [260]

Answer:1

There are three different types of vertical marketing systems: a corporate system, a contractual system, and an administered system. The three types of vertical marketing systems are contractual, corporate and Administered. A corporate system is desenbed as one in the combination of successive stages of production and distribution under single ownership.

A contractual system is described as an independent production and distribution firms integrate their efforts on a contractual basis to obtain a greater functional economies and marketing impact than they could achieve on their own. There are three variations of contractual systems which include

1.) wholesaler sponsored voluntary chains (wholesaler develops a contractual relationship with a small independent retailer to coordinate and standardize practices)

2.) retailer sponsored (small independent retailers form an organization that operates a wholesale facility cooperatively, for example Ace Hardware company and an individual

3.) Franchising: the most visible variation of contractual systems, it is a contractual agreement between a parent that allows a franchise to operate under an established name, i.e. your family owning a McDonald's

Administered system: achieve coordination at successive stages of production and distribution by the size and influence of one channel member rather than through ownership. For example, Proctor and Gamble as well as Walmart.

Explanation:

Cause it is

6 0

3 years ago

What is the purpose of selective attention? To allow you to ignore things that are important

VMariaS [17]

Answer:

Selective attention is the process of focusing on a particular object in the environment for a certain period of time. Attention is a limited resource, so selective attention allows us to tune out unimportant details and focus on what matters.

7 0

3 years ago

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The negative feedback process _______ a response.