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faust18 [17]
3 years ago
11

You are driving a delivery truck that is less than 40 years old, with a net weight of 22,500

Advanced Placement (AP)
2 answers:
chubhunter [2.5K]3 years ago
7 0
The answer is gonna be C
Anvisha [2.4K]3 years ago
7 0

Answer:

C

Explanation:

The person above me is correct :>

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My fellow math brodas, help
DiKsa [7]

A. Depending on which variable you choose to integrate with, you can capture the total bounded region with either -2 ≤ x ≤ (-1 + √5)/2 or 1 ≤ y ≤ (5 + √5)/2, where the upper endpoints correspond to the coordinates of the appropriate intersections:

y = x² + 1

⇒   x = (x² - 2)² - 2

⇒   x⁴ - 4x² - x + 2 = 0

⇒   (x - 2) (x + 1) (x² + x - 1) = 0

⇒   x = 2, x = -1, x = -1/2 ± √5/2

⇒   y = 5, y = 2, y = (5 ± √5)/2

On the other hand, we can compute the areas of A and B separately, then sum those integrals. Area A is easier to compute by integrating with respect to y over 2 ≤ y ≤ (5 + √5)/2, while area B is easier to find by integrating x over -1 ≤ x ≤ (-1 + √5)/2.

B. I'll stick to the split-region approach.

First, we find equations for the appropriates halves of either parabola:

• y = x² + 1   ⇒   x = ± √(y - 1)

and x = -√(y - 1) describes the left half of the blue parabola;

• x = (y - 3)² - 2   ⇒   y = 3 ± √(x + 2)

and y = 3 - √(x + 2) describe the bottom half of the red parabola.

Now we can set up the integrals.

Area of A:

\displaystyle \int_2^{(5+\sqrt5)/2} \left(\left(-\sqrt{y-1}\right) - \left((y-3)^2-2\right)\right) \, dy \\ ~~~~~~~~ = -\int_2^{(5+\sqrt5)/2} \left((y-3)^2 - 2 + \sqrt{y-1}\right) \, dy

Area of B:

\displaystyle \int_{-1}^{(-1+\sqrt5)/2} \left(\left(3-\sqrt{x+2}\right) - \left(x^2+1\right) \right) \, dx \\ ~~~~~~~~ = - \int_{-1}^{(-1+\sqrt5)/2} \left(x^2 - 2 + \sqrt{x+2}\right) \, dx

Alternatively, one can prove that the regions A and B are symmetric across the line y = x + 3, so we can simply pick one of these integrals and double it.

C. Computing the integrals, we find

area of A = 2/3

area of B = 2/3

and so the total area is 2/3 + 2/3 = 4/3.

6 0
2 years ago
Your assistance is greatly appreciated.
Yuri [45]

Answer:

B. Loyalist

Explanation:

7 0
3 years ago
Amanda is 8-years old and is learning to function effectively in school. She receives
masha68 [24]

Answer:

Industry vs. Inferiority Stage

Explanation:

Erik Erikson proposed "8 Psychosocial Stages" that people go through from <em>infancy to adulthood. </em>

Among the stages, Amanda's situation shows that she belongs to the stage of "Industry vs. inferiority." This commonly occurs in children between the ages <u>5 and 12</u>. Here,<em> Amanda knows the importance of going to school and studying.</em> She also knows the value of her teacher in her life. In order to become accepted in the society, <em>Amanda tries her best to be successful in her academic tasks. </em>In this way, she is trying to win the approval of her group of friends or classmates in school. Her good grades reinforced her to study harder.

So, this explains the answer.

6 0
3 years ago
What happens in the brain when memories are formed?
SCORPION-xisa [38]

Answer:

it changes and yah I think

4 0
3 years ago
16) UNIT PROJECT
Burka [1]
B because because because because
8 0
2 years ago
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