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3 years ago

Give examples time series application

1 answer:

7 0

Time Series analysis can be useful to see how a given asset, security or economic variable changes over time. Examples of time series are heights of ocean tides, counts of sunspots, and the daily closing value of the Dow Jones Industrial Average.

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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

What size laryngoscope blade is recommended to intubate a preterm newborn with an estimated gestational age of 32 weeks (estimat

andrezito [222]

The size laryngoscope blade recommended for this patient is size 0 or a 7.5 cm blade.

<h3>What is a laryngoscope?</h3>

This is a type of medical procedure that aims at examining the larynx, which is the structure that holds the vocal cords.

<h3>How is the blade used in the laryngoscope?</h3>

The blade is an instrument that is placed inside the mouth of the patient and helps doctors better visualize the larynx.

<h3>What size of the blade is the best?</h3>

Considering the blade is placed inside the mouth, there are different sizes according to age. In the case of pre-term infants, the size is 0, which is the smallest size and it is equivalent to 7.5 cm.

Learn more about larynx in: brainly.com/question/3350759

7 0

3 years ago

WHAT IS A RASENGAN ???? I KEEP HEARING PEOPLE SAY THAT

Korolek [52]

The spinning ball from “Naruto” the anime

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2 years ago

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

eimsori [14]

Answer:

y = 360(1.03)x

Explanation:

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3 years ago

Which of the following characterizes Renaissance music?

Crazy boy [7]

Imitative polyphony often printed religious in nature.

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3 years ago