Mention the key scientists contributed in the following realizations and list the years: 1- Electric charges (positive and negative) 2- Coulomb's law 3- Electric field 4- Gauss's law Type your answer and keep everything to less than 200 words.

1- Electric charges (positive and negative) - Benjamin Franklin  in 1742.

2- Coulomb's law: Charles Augustin Coulomb from 1764 to 1772.

3- Electric field:    Michael Faraday -  1821

4- Gauss's Law: Joseph Louis Lagrange was the first to formulate the rule in 1773, followed by Carl Friedrich Gauss in 1867.

Explanation:

The Electric charge: In 1742, an American orator and inventor named Benjamin Franklin designed the positive and negative values of the charge.

Coulomb's law: The theory was first published in 1785 by Charles Augustin de Coulomb, a French physicist who was instrumental and prominent in the advancement of electromagnetism theory.

Gauss Law: Carl Friedrich Gauss developed this law in 1835. It was not released until 1867, However, Classical electrodynamics is based on this law.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

bacteria that live on the ocean floor are sustained by phytoplankton. phytoplankton, microscopic marine photosynthetic organisms, have a vastly significant role to play not only in the marine food web of which they’re part of, but also on a more global scale. despite their infinitely small size in comparison to other marine organisms, these tiny creatures occupy an immensely important ecological niche: they are the foundation of the marine food web, and as primary producers, play key roles in supporting all other organisms in the marine environment, as well as in the regulation of the earth’s climate through the sequestration of carbon, oxygen production, and other related processes. phytoplankton account for roughly half of all global primary productivity; therefore, their significance extends far beyond the marine environment alone. there is an intriguing sense of irony in the realization that these tiny living beings that often live out their existence unnoticed and undetected by the rest of the world, have such a far-reaching impact on the lives of virtually all other living organisms on the planet, particularly on those in the marine environment. the world that we have become accustomed to has been and is continuously shaped by the workings of these miniscule yet vital “plants of the sea”.

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