By discovering calculus, Sir Issac Newton contributed to the field of mathematics.
<u>Explanation:</u>
In the early history, infinitesimal calculus, are a mathematical discipline that focuses on boundaries, derivatives, functions, infinite sequences and integrals. The work of Newton analysis began with finding the slope of any points in curve, the slope of which is constantly changing. By this way, named ‘method of fluxions’ the derivative to find the slope instead of differentiation.
This is due to the fact that he calls the "fluxion" and "fluent" variable of x and y at the instantaneous rate of curve change. He then concluded that the opposite of differentiation is integration, which he called the "method of fluents". This enabled him to develop the first fundamental calculus theorem, which states that if the function is integral and then differentiable, the basic function can be retained because differentiation and integration are inverse functions.
Newton did not publish anything about the analysis until 1693, but the mathematician Leibniz from Germany published his theory version in 1684. In addition to working on universal gravity, Newton developed three laws of motion that constitute the basic principles of modern physics. His discovery led to the development of stronger solutions to mathematical problems.
As the gas absorbs heat, the sounds he hears become softer. This is because the pressure of the neon gas inside the container increases when the gas gets warmer, the walls of the container become tighter and stiffer, and it's harder for them to vibrate.
<h2>Right answer: Doldrums</h2>
These are also called zones of equatorial calm and it is due a climatic phenomenon that is placed near the Earth equator, attributed to the soft winds, that are called calm winds as well; accompanied by systems of abundant rains and heat.
In this area periods of great calm occur when the winds virtually disappear completely, trapping the sailing ships for long periods (days or weeks). This is why the term <em>doldrum</em> became popular as a colloquial expression in the eighteenth century, to refer to "<em>the caprice of the wind that slows down the navigation to sail".
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The zone is located in the place where two trade winds meet, this means the trade winds of the northern hemisphere <u>converge</u> with those of the southern hemisphere, that is why this region is related to the <u>intertropical convergence zone</u>.
Answer:
Explanation:
Given that
An isotropic point source emits light at a wavelength = 500 nm
Power = 185 W
Radius = 380 m
Let's first calculate the The intensity of the wave , which is =
=
=
=
Now;
The amplitude of the magnetic field is calculated afterwards by using poynting vector
i.e
The magnetic field wave equation can now be expressed as;
Taking the differentiation
The maximum value ;
where ;
then
The displacement and velocity values at time, <em>t </em>= 8 seconds are; 11.76 and -0.545 respectively
<h3>How can interpolating be used to find variable values at a given time?</h3>
Part A
The possible values in the table are;
Displacement;
t = 7 seconds, y<em> </em>= 10.02
t = 8 seconds, y = 11.01
t = 9 seconds, y = 13.5
Velocity;
t = 7 seconds, y = 0.06
t = 8 seconds, y = -0.05
t = 9 seconds, y = -1.15
The equation for interpretation which is a form of linear equation is presented as follows;
Interpolating for the displacement at <em>t </em>= 8.0 seconds is as follows;
Which gives the displacement at <em>t </em>= 8.0 seconds as 11.76
Interpolating for the velocity at <em>t</em> = 8.0 seconds is as follows;
Which gives the velocity at <em>t</em> = 8.0 seconds as -0.545
The values for the displacement and velocity obtained by interpolation (11.76 and -0.545) are different from the displacement and velocity values in the table at <em>t </em>= 8 which are; 11.01 and -0.05 respectively
Learn more about linear equations here:
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