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yawa3891 [41]
4 years ago
8

The study by George Perkins Marsh published in 1864 showed that the farmlands in Vermont had more organic matter than the farmla

nds in Italy. Which horizon of the two farmlands soils was he comparing?
Advanced Placement (AP)
1 answer:
Sedaia [141]4 years ago
7 0

Answer: vermount and Middle East

Today he is best remembered for his contribution of Man and Nature. The work incorporates observations he made as a youth in Vermont, as well as on his travels in the Middle East. He was the first to suggest that human beings were agents of change, or "disturbing agents." The conventional idea held by geographers of the day, Arnold Guyot and Carl Ritter, was that the physical aspect of the earth was entirely the result of natural phenomena, mountains, rivers, oceans. No one had ever turned to the study of the earth as the home of humankind. Marsh was the first to describe the interdependence of environmental and social relationships.

Explanation:

He was a good diplomat. But we remember Marsh the scholar. He was a student of Scandinavian languages. As a philologist, he wrote an important book on the character of the English language. He was an art collector. As a scientist, he gathered reptiles for the Smithsonian. He was instrumental in the Army's attempt to use the camel in the American Southwest

Over the next few years, Marsh gave a series of lectures on the English language. In 1861, President Lincoln appointed him the first United States minister to the kingdom of Italy, and on April 27, at the age of 60, he set sail, with Caroline, for Europe. In Italy, he found time and capacity for his environmental concerns. He made several fruitful excursions to the Alps where he studied glaciers, moraines, and avalanches. Marsh witnessed Alpine erosion and the devastating contribution of grazing and deforestation, in disastrously accelerating natural erosive processes. In 1862, he began working on the manuscript for Man and Nature, a pioneering study in ecology and conservation.

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Explanation:

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According to Freud, the deepest level of a person’s consciousness will __________. affect the storage and recall of memories not
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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

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