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Basically, it's area times height, but because the formula to calculate area is different for different shapes, the formula for volume changes with the shape. length times width times height. L x W x H One can use calculus to find the volume of a solid. Take the triple integral of the functions that define the solid in each direction. also in physics when density and mass are given, then the volume can be calculated as volume=mass/densityThe formula for calculating the volume of a container varies with the shape of the container. Simple shapes can be calculated very easily such as cubes, prisms, or cylinders. Complicated or asymmetrical shapes would require the use of integral calculus.
URLs (Uniform Resource Locators) define the address on the Internet.
Those are among the most fundamental concepts in calculus; they are used to define derivatives and integrals.
It is conversion using multiples of integral powers of 10.
In calculus, a limit is a value that a function or sequence approaches as the input values get closer and closer to a particular point or as the sequence progresses to infinity. It is used to define continuity, derivatives, and integrals, among other concepts in calculus. Calculus would not be possible without the concept of limits.
It depends not only on your natural ability but also on how you define 'hard'. Based on how long it would take to achieve these goals, from my experience I'd say it would be harder to learn to speak German like a native speaker if you don't live in a German-speaking country. If you moved to Germany, you could become fluent in a year or two, but if not then it could take years. Calculus, on the other hand, is just a case of applying yourself - I learned integral and differential calculus after five years of secondary school maths lessons, whereas after six years of learning German, I'm nowhere near fluency.
Actually, BOTH are used. You can define density as mass divided by volume (or mass per unit volume).
Depends on what region, what size of region, etc. For example, while the downtown core of Toronto has a fairly constant and uniform density, Canada does not. You need to define your question a bit better, mate.
You must know calculus, at least that the integral of xN = 1/(N+1)xN+1 . Define the Pareto distribution as: f(x) = abax-(a+1) or Cx-(a+1) where C = aba (a constant) Remember that the pdf is defined over the domain [b, inf] otherwise zero. Mean = integral xf(x) evaluated from b to infinity. Remember also that the limit of 1/x as x goes to infinity = 0. Similarly for any positive a, (1/x)a goes to 0 as x goes to infinity. mean = integral C x-(a+1)x dx = integral Cx-a = C(1/(-a+1))x-a+1 evaluated over the interval b to infinity. The integral is zero at infinity, so the mean = C(0-1/(-a+1))b-a+1 Remember b-a+1 = b-ab After substituting and cancelling mean = ab/(a-1) for a greater than 1.
Differential Calculus serves as one of the most important piece of mathematical tools ever invented/used. It is widely used everywhere for it usually describes the rate of change of some quantity. We can define the quantity and examine such a quantity and its changes thoroughly using differential calculus. An example of this would be in fields such as business (stock markets), risk analysis, insurance, banking, engineering, pure math and even theoretical physics. It is nearly impossible to think of the world without differential calculus as it serves as a backbone to all of these fields. In fact, it is only possible that we develop our uses of differential calculus in more fields than lessening its uses in the world.
The term "limit" in calculus describes what is occurring as a line approaches a specific point from either the left or right hand side. Some limits approach infinity while some approach specific points depending on the function given. If the function is a piece-wise function, the limit may not reach a specific value depending on the function given. For a more in-depth definition here is a good link to use: * http://www.math.hmc.edu/calculus/tutorials/limits/
There are many models which can fit population mathematically with parameters like desease, growth etc .. the first one was given by Euler in term of geometrical serie, but the first strong mathematical model of population in term of integral equation was given by A.J Lotka in 1939 title of this article " On a integral equation in population analysis" .