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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

What does E equals MC² mean?

E=MC2

Energy equals the mass times the speed of light squared

E=energy

M=mass

C=speed of light

This is a formula for either converting mass to energy or light to equivalent matter.

The highest theoretical speed possible is the speed of light. No real matter currently known of can exceed the speed of light.

Albert Einstein created the formula to calculate the amount of energy in matter.

For example: 1 kg of water has 111 g of hydrogen atoms. So...

Energy=Mass (0.111) x the speed of light (3x10^8) squared, so...

0.111 multiplied by 3x10^8 multiplied by 3x10^8 equals

9.99x10^15 !

Hope you liked my explanation! (+correction and elaboration)
It is the mass-energy equivalent. The "e" stands for energy, the "m" stands for mass (rest- mass- basically when it is not moving) and the "c" stands for the speed of light. So to work out the energy in something you just take the speed of light (approximately 300,000 km per second in a vacuum),square it and then times it by it,the mass that it has ; this will show you that if all the mass in that object was suddenly converted to energy, how much it would be. It turns out to be a lot even for something tiny like a few molecules!
It means that any type of energy has an equivalent mass; and mass has an equivalent energy. It also provides the formula to calculate one, on the basis of the other (the proportionality constant).

Is 3x plus 2 equals 0 linear?

Yes. As there is no x² or higher term.

Actually, 3x+2=0 boils down to x=-2/3, and thus it's a vertical line on the graph paper going through -2/3 on the x axis

Is y equals 2x-1 and y equals 2x plus 1 on the same line?

No. The two lines are parallel with the first line being two units lower than the second.

3x plus y equals 6 what does y equal?

That's going to depend on the value of 'x', and it'll change every time 'x' changes.

Whatever number 'x' happens to be at the moment, 'y' equals 6 more than

triple the negative of that number.

What are the solutions to x plus 4 equals 2?

x+4=2

x=2-4 (taking 4 to other side )

x=-2

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substituting x=-2

x+4=2

-2+4=2

2=2

73.35 equals 4.37 plus y?

73.35+4.37+y

Add 4.37 to 73.35 to get 77.72.
(d)/(dy) 73.35+4.37+y=77.72+y

Since 77.72 does not contain y, the derivative of 77.72 is 0.
(d)/(dy) 73.35+4.37+y=0+(d)/(dy) y

To find the derivative of y, multiply the base (y) by the exponent (1), then subtract 1 from the exponent (1-1=0). Since the exponent is now 0, y is eliminated from the term.
(d)/(dy) 73.35+4.37+y=0+1

Combine all similar expressions.
(d)/(dy) 73.35+4.37+y=1

The derivative of 73.35+4.37+y is 1.
1

I have 62 followers on twitter and you follow 38. Which quantity would you have to change and how do I derive the equation to get the two to equal the golden ratio of 1.6180339?

The golden ratio is not a ratio of two whole numbers but an irrational number. It is 0.5*(1+sqrt(5)). Because it is irrational you cannot find two whole numbers such that their ratio equals the golden ratio. All you can do is get closer and closer to it.

62/38 = 1.6315789

618/382 = 1.6178010 and so on.

How many millimetres are in 25 nanometers?

A nanometre is 1x10^-9 metres and a millimetre is 1x10^-3 metres. Therefore there are 1x10^6 nanometres in a millimetre or 1,000,000. 25nm/1,000,000 gives 0.000025mm

What has the author Z Y written?

Y. Z. has written:

'A seasonable letter on the late treaty with Nizam Allee Kawn, and the Commotions in consequence of it, on the coast of Coromandel'

'A letter from a layman in the country, to, &c. concerning the Act of Parliament, for bringing to justice the murderers of Captain John Porteous'