Asked in Uncategorized
What is micro office word Define centre of mass. Calculating the centre of mass 0f uniform rod and center of mass of solid sphere by using integral calculus?
We need you to answer this question!
If you know the answer to this question, please register to join our limited beta program and start the conversation right now!
Asked in Math and Arithmetic, Geometry, Volume
What is the formula for calculating volume?
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/density The 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.
Asked in Units of Measure, Length and Distance, Proofs
Define changing one unit of length to another in metric?
Asked in Calculus
Which is harder to learn thoroughly mathematics up to and including integral and differential calculus or to learn academically in America to speak German as fluently as a native speaker?
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.
Asked in Science
Why is mass used instead of volume when calculating density?
Asked in Ecosystems, Population
Do populations possess a constant and uniform density and dispersion?
Asked in Statistics
How do you derive mean of Pareto distribution?
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.
Asked in History of Science, Calculus
Do you still use differential calculus?
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.
Asked in Math and Arithmetic
Define population mathematically?
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" .
Asked in Calculus
Define The LIMIT as in Calculus?
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/
Asked in English to Spanish, Spanish to English
What does the word define mean in spanish?
Asked in Inventions
Define reflux ratio?
Asked in Calculus
How do you calculate integrals that go to infinite?
You do what we call an "improper integral". I will denote the integral of f from a to b as intl a-b (f) here. so we define intl a-infinity (f) as lim b->infinity a-b(f) So it is a limit, and just like all other integrals, it may or may not exist (+/- infinity or infinite uncountable oscilations etc.) You have have to prove yourself though about its properties (it's easy since I reduced it to the regular integral) and you will see it's a perfectly fine definition. If you want examples, I have lots, message me.