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4 years ago

Which choice best summarizes the passage?

SAT

1 answer:

Natali [406]4 years ago

3 0

Answer:

I think its D it might be wrong because i need the passage but i think its D

Hope this helps~ OwO~

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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

A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trou

Kay [80]

The t-statistics that will ba calculated from the data about the steel housing will be -5.936.

<h3>How to calculate t-statistic?</h3>

From the information given, the component part of the housing is a steel trough that is made out of a 14-gauge steel coil.

From the complete question that has the data, the t-statistic will be calculated thus:

u = 8.46

x bar = 8.422

s = 0.04

n = 49

Therefore, the t-statistics will be:

= (8.421 - 8.46) / (0.046 / ✓49)

= -5.936

In conclusion, the t-statistics is -5.936.

Learn more about t-statistic on:

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8 0

2 years ago

How did fossils help and teach scientists about the history of the earth brainly.

OLEGan [10]

Answer:

Fossils helped teach scientist by giving information of the species that lived back then.

Explanation:

The fossils have clues on them help identify what they are.

4 0

3 years ago

listen to the conversation between manuel and ana. then indicate whether the following conclusions are lógico or ilógico, based

Rama09 [41]

Answer:

The cast of Ana y Manuel - 2004 includes: Elena Anaya as Ana

Explanation:

3 0

3 years ago

Focusing on long-term customer loyalty is integral to

Kaylis [27]

Focusing on long-term customer loyalty is essential to customer relationship management.

<h3 /><h3>What is customer relationship management?</h3>

corresponds to an organizational strategy to manage data and information from your potential audience, to improve and strengthen customer relationships, which translates into value for the consumer and to increase the company's positioning in the market.

Therefore, customer loyalty is a consequence of the effective application of strategies that improve customer perception, communication and the quality of a company's products and services.

Find out more about customer relationship management here:

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#SPJ1

6 0

2 years ago