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2 years ago

What can you say about a solution of the equation y' = (1/2)y2 just by looking at the differential equation?

1 answer:

6 0

The function y must be equal to 0 on any interval on which it is defined. The function y must be increasing (or equal to 0) on any interval on which it is defined.

Analysis of solution by seeing differential equation:

Given differential equation is: y' = (1/2)y2

How do deduce the results just by seeing them?

The equation tells us that:

rate = positive of ( y^2 )

rate = positive of (positive or zero) = positive or zero

Thus, the rate is positive or zero no matter what value we put in the place of y from its valid domain, since.

When the rate is positive or zero, that means the function will never grow upwards. Thus, either increasing or staying at the same level.

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Answer:

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years. The period of orbit for the Earth around the Sun is approximately 365 days; it takes 365 days for the Earth to complete a cycle.

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3 years ago

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4 years ago

Solve the inequality 2(n+3) – 4<6. Then graph<br> the solution.

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3 years ago

Place the items in order from the largest wavelength to the shortest wavelength.

Butoxors [25]

From largest to shortest wavelength:

Radio waves, Microwaves, Infrared radiation, Red visible, Orange visible, Yellow visible, Green visible, Blue visible, Violet visible, Ultraviolet, X-rays, Gamma rays

Explanation:

Electromagnetic waves are oscillations of the electric and the magnetic field in a plane perpendicular to the direction of motion the wave.

Electromagnetic waves are the only type of waves able to travel in a vacuum, and in a vacuum they always at the same speed, the speed of light, equal to:

$c=3.0\cdot 10^8 m/s$

Electromagnetic waves are classified into 7 different types, according to their wavelength/frequency. From slongest to shortest wavelength, they are ranked as follows:

Radio waves

Microwaves

Infrared radiation

Visible light

Ultraviolet

X-rays

Gamma rays

Visible light is the only part of the spectrum that the human eye is able to see. Depending on the wavelength of the visible light, we perceive the radiation as a different color. In order from longest to shortest wavelength, colors are:

Red

Orange

Yellow

Green

Blue

Indigo

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Therefore, the correct order from largest to shortest wavelength in the given list is:

Radio waves

Microwaves

Infrared radiation

Red visible

Orange visible

Yellow visible

Green visible

Blue visible

Violet visible

Ultraviolet

X-rays

Gamma rays

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3 years ago

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denis23 [38]

Meteorites is the answer

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3 years ago