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marusya05 [52]
3 years ago
14

Refer to the passage.

Advanced Placement (AP)
1 answer:
ella [17]3 years ago
5 0

Answer:

The stalemate and high casualties caused by trench warfare on the western front

Explanation:

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The regions bounded by the graphs of y=x2 and y=sin2x are shaded in the figure above. What is the sum of the areas of the shaded
Alex Ar [27]

Answer:

The sum of the area of the shaded regions = 0.248685

Explanation:

The sum of the area of the shaded region is given as follows;

The point of intersection of the graphs are;

y = x/2

y = sin²x

∴ At the intersection, x/2 = sin²x

sinx = √(x/2)

Using Microsoft Excel, or Wolfram Alpha, we have that the possible solutions to the above equation are;

x = 0, x ≈ 0.55 or x ≈ 1.85

The area under the line y = x/2, between the points x = 0 and x ≈ 0.55, A₁, is given as follows

1/2 × (0.55)×0.55/2 ≈ 0.075625

The area under the line y = sin²x, between the points x = 0 and x ≈ 0.55, A₂, is given using as follows;

\int\limits {sin^n(x)} \, dx = -\dfrac{1}{n} sin^{n-1}(x) \cdot cos(x) + \dfrac{n-1}{n} \int\limits {sin^{n-2}(x)} \, dx

Therefore;

A_2 = \int\limits^{0.55}_0 {sin^2x} \, dx = \dfrac{1}{2} \left [x -sin(x) \cdot cos(x) \right]_0 ^{0.55}

∴ A₂ =1/2 × ((0.55 - sin(0.55)×cos(0.55)) - (0 - sin(0)×cos(0)) ≈ 0.0522

The shaded area, A_{1 shaded} = A₁ - A₂ = 0.075625 - 0.0522 ≈ 0.023425

Similarly, we have, between points 0.55 and 1.85

A₃ = 1/2 × (1.85 - 0.55) × 1/2 × (1.85 - 0.55) + (1.85 - 0.55) × 0.55/2 = 0.78

For y = sin²x, we have;

A_4 = \int\limits^{1.85}_{0.55} {sin^2x} \, dx = \dfrac{1}{2} \left [x -sin(x) \cdot cos(x) \right]_{0.55} ^{1.85} \approx 1.00526

The shaded area, A_{2 shaded} = A₄ - A₃ = 1.00526 - 0.78 ≈ 0.22526

The sum of the area of the shaded regions, ∑A = A_{1 shaded} + A_{2 shaded}

∴ A = 0.023425 + 0.22526 = 0.248685

The sum of the area of the shaded regions, ∑A = 0.248685

8 0
3 years ago
Explain three ways that agriculture has changed mankind's social structure.
Brut [27]

Answer:

Humans were nomads. Their wandering was mainly in search of food and shelter. When they found that certain places had an abundance of food – plant food or animals for hunting, they stayed on. They observed the plants, their growth and when these food sources diminished, they grew plants themselves, from the seeds they collected. This is how agriculture came about.

When humans stopped their nomadic ways and stayed together, it paved the way for formation of the human social structure. Hierarchies were established in due course.

3 0
3 years ago
What land might interfere with the construction of the trump wall, what may happen to this land? Provide Source most likely woul
tresset_1 [31]

The  land that might interfere with the construction of the trump wall, what may happen to this land is about 4,900 parcels of property that tend to sit inside of the 500 feet of the border and this is found in Texas.

<h3>What was the border land about?</h3>

Through the news source above, the  network investigation of public records make a discovery that that walling the border in is seen in an opened area that needs the act of disrupting or seizing of about 5,000 parcels of property.

The news also shows that a  about 4,900 parcels of property are present inside the 500 feet of the border in Texas and a lot of Texas land is said to be  privately owned.

Hence, The  land that might interfere with the construction of the trump wall, what may happen to this land is about 4,900 parcels of property that tend to sit inside of the 500 feet of the border and this is found in Texas.

Learn more about US-Mexico border from

brainly.com/question/709290

#SPJ1

6 0
1 year ago
17. Bakit ang timog silangang asya bilang ay tinaguriang Father India at Little China?
Maslowich

Letter B

Tinawag sya na Little China at Greater India ang Timog Silangang Asya dahil sa impluwensiya ng Dalawang bansang India at China kultura ng mga bansa sa Asia.

Hope it helps po

6 0
2 years ago
Ways the Mongols were able to establish authority over conquered people
zavuch27 [327]

Answer:

During the early stages of Mongol supremacy, the empire established by Genghis absorbed civilizations in which a strong, unified, and well-organized state power had developed. The social organization of the Mongols was, however, characterized by pastoralism and a decentralized patrilineal system of clans.

Explanation:

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8 0
3 years ago
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