###### Asked in Uncategorized

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?

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## Related Questions

###### 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 Chemistry

### Define homogeneous mixture?

###### 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, Architecture

### Define air mass?

###### 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 Inventions

### Define reflux ratio?

###### Asked in Astronomy

### Define the term inertia?

###### 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.