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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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Q: Who when and why invented the calculus power reducing formulas?
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Differential calculus -the general power formula?

xx + sincos


What are the 3 electrical power formulas?

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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 the area of the circle is pie times radius to the second power?

When you have gone far enough in math to where you can handle some integral calculus, you'll be able to derive that formula for yourself in about three lines.


How is math used in designing cars?

Many things are taken into consideration when designing cars. Among them are air flow, weight to power ratios and acceleration curves. These are all calculated using calculus and higher math.