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3 years ago

What is a surface current: please describe how they form, where they are located, and how they help affect climate?

SAT

1 answer:

Nadusha1986 [10]3 years ago

3 0

Explanation:

large-scale surface ocean currents are driven by global wind systems that are fueled by energy from the Sun.

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Consider the following line integral. C xy dx + x2y3 dy, c is counterclockwise around the triangle with vertices (0, 0), (1, 0),

Sedaia [141]

It looks like the integral is

$\displaystyle \int_C xy \, dx + x^2y^3 \, dy$

Let's close the loop by adding a line integral over the line segment joining (1, 4) to (0, 0). Then the closed loop is the triangular region

T = {(x, y) : 0 ≤ x ≤ 1 and 0 ≤ y ≤ 4x}

Since the integrand has no singularities over or on the boundary of T, we have by Green's theorem

$\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_T \left(\frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y}\right) \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx$

Compute the double integral:

$\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \int_0^{4x} \left(128x^5 - 4x^2\right) \, dx = \frac{60}3$

From this result, we subtract the line integral over the extra line segment we added. Parameterize this path by

C' : {(1 - t, 4 - 4t) : 0 ≤ t ≤ 1}

The line integral over C' is

$\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 (1-t)(4-4t)(-dt) + (1-t)^2(4-4t)^3(-4\,dt)$

$\displaystyle \int_{C'} xy \, dx + x^2y^3 \, dy = \int_0^1 \left(256 t^5-1280 t^4+2560 t^3-2564 t^2+1288 t-260 \right) \, dt = -44$

so that the line integral over C alone is 60/3 - (-44) = 64.

3 0

3 years ago

If you were studying psychology and sociology, which of the citation styles would you typically use in your research papers?

Alenkasestr [34]

Answer: APA format. {"American Psychological Association" format.}.

7 0

3 years ago

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Why is it important to know in your blood group

Jobisdone [24]

Answer:

its very important to know your blood type because you could receive a blood type that is not compatible with yours and it can lead to clumping of blood that can lead to death

Explanation:

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3 years ago

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How are the three types of corporate combinations usually affected by antitrust policy

ZanzabumX [31]

Note that not all business organization are affected by antitrust and as such the three types of corporate combinations are usually affected by antitrust policy in terms of market share, vertical merger and others.

<h3>What is the aim of an antitrust policy?</h3>

The antitrust laws are set up to boast and protect competition in business.

The three different types of corporate combinations are:

Horizontal
Vertical
Conglomerate

Companies that are said to be of same phase of production are known to be horizontal combination and that of vertical combination is known to be the kind of merger between companies that said to be of different phases of production of a product.

Learn more about antitrust policy from

brainly.com/question/940186

4 0

2 years ago

An organization determined most of its sales only occurred after at least 444 contacts. However, 44\%44%44, percent of its sales

steposvetlana [31]

Oh my god why so long

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3 years ago