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I'll explain the "why" for now. The idea is that mathematicians want to be able to solve as many integration formulae as possible, in an exact way.

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Differential calculus -the general power formula?

xx + sincos


What are the 3 electrical power formulas?

electric...


Who invented power series?

Power series, as a mathematical concept, evolved over time through contributions from various mathematicians rather than being attributed to a single inventor. Notably, mathematicians such as Isaac Newton and Gottfried Wilhelm Leibniz explored infinite series in the 17th century. The formalization and use of power series in calculus were significantly advanced by later mathematicians, including Augustin-Louis Cauchy and Karl Weierstrass in the 19th century. Thus, power series represent a collaborative development in the history of mathematics.


What is the equation for solving power?

There are two likely calculus applications of this problem. Both differential calculus and basic vector operations can be used to solve for power in a scenario, depending on how a problem is defined. Power is the dot-product of a force vector and a velocity vector and... Power is a change in energy over time, or in differential terms: dE/dt If you were given a function that defined a system's energy with respect to time, you could derive it to find a function for that system's power output. If you were given a force vector and a velocity vector and asked to find the total power applied to the system, you could take the dot product of the two vectors to find this. Or, if you are not taking a calculus approach to it: Average power is simply energy divided by time The magnitude of power given a force and velocity can be found with the formula: P=F*v*cos(theta) Where F is the magnitude of the force v is the magnitude of the velocity theta is the angle between the two quantities.


Why was mathematician James Gregory known for calculus?

James Gregory was known for his contributions to calculus, particularly for his work on infinite series and the development of the Gregory series, which provides a way to represent functions like arctan and ln(1+x) as power series. His 1668 work, "Geometriae Pars Universalis," introduced concepts that laid the groundwork for later advancements in calculus. Gregory also formulated the famous Gregory-Leibniz series for π, showcasing the relationship between calculus and trigonometric functions. His pioneering ideas helped shape the field and influenced later mathematicians, including Isaac Newton and Gottfried Wilhelm Leibniz.