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klasskru [66]
3 years ago
15

This country is most likely where on the demographic transition model? (3 points)

Advanced Placement (AP)
1 answer:
scoray [572]3 years ago
3 0

Answer:

I believe the answer is of option 5.

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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
Question 1(Multiple Choice Worth 3 points)
AlekseyPX

Answer:

A

Explanation:

I'm not in Ap but it was a easy enough

8 0
3 years ago
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The claims Lydia Mariah Child made in her letter to Theodore D. Weld were
Kaylis [27]
I think it is D. Social reform activities during the Second Great Awakening
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When a star burns its fuel at a faster rate, late in its life, the extra energy flow causes what to happen?
Scilla [17]

Answer:

  The outer layer of the star expands

Explanation:

Late in life, when the hydrogen fuel for nuclear fusion is exhausted, the core of the star tends to collapse. That process generates heat that pushes the outer layers of the star outward.

The outer layer of the star expands.

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Two ecologists, Robert H. MacArthur and Edward Wilson, studied how organisms immigrate to islands and how their numbers change a
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2872182738183773hsjaiaoqowonsnajskd
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