Who is an at-risk driver?

HEYY I NEED HELP WITH AN AP CALC ASSIGNMENT ASAP

Vladimir79 [104]

CALCULATOR PART

1. The area of R + S is unsigned, meaning you want to find

$\displaystyle\int_a^b\left|f(x)-g(x)\right|\,\mathrm dx$

where $[a,b]$ is the interval between the leftmost and rightmost intersections of $f$ and $g$ .

First use your calculator to find these intersections:

$\cos x=\dfrac{x+1}3\implies x\approx-3.64,x\approx-1.86,x\approx0.889$

so that $a=-3.64$ and $b=0.889$ . Now compute the integral using your calculator:

$\displaystyle\int_a^b\left|f(x)-g(x)|\,\mathrm dx\approx1.662$

2. The volume, using the washer method, is given by the integral

$\displaystyle\pi\int_{-1.86}^{0.889}(|2-g(x)|^2-|2-f(x)|^2)\,\mathrm dx\approx12.078$

3. A circle of radius $r$ has area $\pi r^2$ ; a semicircle with the same radius thus has area $\frac{\pi r^2}2$ . Each cross section of this solid is a semicircle whose diameter is the vertical distance between $f(x)$ and $g(x)$ , or $|f(x)-g(x)|$ . In terms of the diameter $d=2r$ , the area of each semicircle would be $\frac{\pi d^2}8$ . Then the volume of the solid is

$\displaystyle\frac\pi8\int_{-3.64}^{-1.86}|f(x)-g(x)|^2\,\mathrm dx\approx0.0425$

NON-CALCULATOR PART

4. The mean value theorem says that for a function $F$ continuous on an interval $[a,b]$ and differentiable on $(a,b)$ , there is some $c\in(a,b)$ such that

$F'(c)=\dfrac{F(b)-F(a)}{b-a}$

If this $F$ happens to be an antiderivative of $f$ , then we end up with

$f(c)=\displaystyle\frac1{b-a}\int_a^bf(x)\,\mathrm dx$

$\cos x$ is continuous and differentiable everywhere, so the MVT applies. We have $F'(x)=f(x)=\cos x$ , so the MVT tells us there is some $c\in[0,\pi$ such that

$\cos c=\dfrac{\sin\pi-\sin0}{\pi-0}=0$

That is, the average value of $f(x)$ on $[0,\pi]$ is 0. The MVT says there is some $c$ in the interval such that the function takes on the average value itself; this happens for $c=\frac\pi2$ .

5. This question seems to be incomplete...

5 0

4 years ago

Ava is very involved in her high school, and she is the captain of

Lana71 [14]

Ava's strange behavior of conduct, as indicated by contemporary methodologies, is mentioned below:

<u>Explanation</u>

<em>Early Behaviorism Approach: </em>

As per this way of thinking in brain research, it accepts that the behavior is learned and, is a result of one's association with the ecological signal. As it were, it is a learning procedure where an individual may get familiar with a specific conduct by controlling the environment or by increasing certain fortifications from the environment.

In this manner, according to this hypothesis, Ava's conduct might be a result of the gaining from her condition that being notable prompts being popular and being an achiever. Being in agreeable terms with others most likely doesn't get her the acknowledgment that she requires.

<em>Humanistic Approach: </em>

This is a need-based methodology. It clarifies that an individual consistently has a need that should be satisfied, which, if not met, may prompt pressure and other lacking conduct.

Remembering this present, Ava's conduct might be seen as her requirement for fondness might not have been met as a kid subsequently the issues in relational relations.

<em>Cognitive Approach; </em>

This methodology contemplates conduct and mental thoroughly considering the focal point of one's recognition, sentiments, and thinking. It is about how one thinks and in this manner displays the conduct as needs be.

Along these lines, in regards to this methodology, Ava's conduct might be seen she deciphering achievement and prevalence just like a need instead of, likewise, concentrating on the most proficient method to keep up relations as they also lead to fulfillment and mental prosperity.

Biological Approach:

This is an absolutely logical methodology, which accepts that anything mental is at first constantly physiological. As per it, any conduct may first illegal's some physical change in the body, which at that point gets communicated intellectually and through conduct.

In this manner, despite the fact that it isn't referenced, it might be assumed that Ava might be encountering an uneasiness or frenzy while drawing nearer or associating with others. This point might be explored to think about the underlying foundations of her curious conduct.

6 0

3 years ago

Which statement accurately represents the

Korvikt [17]

Answer:

d because it is education

3 0

3 years ago

Where plates diverge, what land form will most likely result?

LekaFEV [45]

Answer:

rift valleys and mid-oceanic ridges

4 0

3 years ago

Read 2 more answers

. When was the Arctic National Wildlife Refuge (ANWR) designated for protection?

Scorpion4ik [409]

When was the Arctic National Wildlife Refuge (ANWR) designated for protection as During his Senate tenure, Wallop supported sturdy countrywide security, tax reform (such as discounts in property and present taxes), and different factors of Reagan conservatism.

<h3>What is Arctic National Wildlife Refuge and how large is it?</h3>

On December 6, 1960, President Dwight Eisenhower made their imaginative and prescient a truth by setting up the 8.9-million-acre Arctic National Wildlife Range, especially for its “precise wildlife, wilderness, and leisure values.” In 1980, President Jimmy Carter persevered this legacy by increasing the area.

While withinside the Senate, Wallop served at the Senate Judiciary Committee, Energy and Natural Resources Committee, and Select Committee on Intelligence.
The Arctic National Wildlife Refuge (ANWR) is certainly considered one of Alaska's crown jewels withinside the Arctic location and encompasses 19.6 million acres in faraway northeastern Alaska. The safe haven straddles the Japanese Brooks Range from the treeless Arctic Coast to the taiga of the Porcupine River Valley.

Read more about the Arctic National Wildlife Refuge :

brainly.com/question/1274598

#SPJ1

8 0

2 years ago