Math graphed equation

Welcome to free math tutor,

If you've graphed equations, look at the graph
of y=1/x. If you look at the region enclosed by y=1/x, the line y=0 (the
x-axis), and the lines x=1 and x=e, it looks like a rectangle but with one
curved side. What is the area of this shape? In fact, it is exactly 1. examples on math help;
Mathematically speaking, we say "the area under the curve y=1/x from 1 to e
is 1," or even better, "the *integral* of 1/x from 1 to e is 1." This is
because if we replaced the line x=e with some line x=b for some b>1, the
area of the region is the natural logarithm of b.

Note the natural logarithm
of e is 1, because e^1 = e; that is, 1 is the exponent for which the base
(e) is equal to e.

And finally, for something I hope someone else will explain,

e^(i*Pi) = -1, where i is the square root of -1.

Solving the math equations

Welcome to math help com,

The equations that describe what happens to any one part are not very
difficult to write down, but solving the equations for all of these
parts at the same time would be extremely time-consuming. That is why
this type of modeling is almost always done using a computer.

The computer solves the mathematical equations, the computer scientists
programmed the equations into the computer, examples on free math;
but (pay attention here) the engineers had to write down the equations in
the first place. For that, they needed to know a lot of mathematics, especially calculus
and differential equations. learn more on math forum.

Math related construction

Welcome to free math tutoring,

suppose you were designing a concrete freeway over-pass.
One of the things you would need to understand is how the concrete
cures as a function of time. similar exercise on free math
How long does one 'batch' need to cure
before construction can continue? When does it need to be tested?
How long until the bridge can be opened to regular traffic? (Concrete
appears to 'dry' in a day or two, but actually does not reach its full
strength for over a month!)

Well, it turns out that the strength of
the concrete as a function of time is described by an equation of the
form S=c(1-e^-kt) where S is the strength at time t and c and k are
constants specific to the type of concrete you are using. (How strong
is the concrete at time t=0? How strong is it as t approaches
infinity? How long will it take to get to half of its final
strength?) more examples on free math help.

Math practice

Welcome to free math tutor online,

One final thing you need to learn is the importance of _practicing_
what you've learned. The more you practice the material at each stage,
the more quickly you'll be able to learn the material at the next
stage. Think of practice as a pain management game. free math; A little pain up
front is often the key to avoiding a lot of pain later on. (If you
think about it, the main task of becoming an adult is learning, and
applying, that lesson.)

I know this advice sounds almost too simple to be useful. But I can
assure you that almost everyone who has become any good at math has
learned it in this way.

And whenever you come across a particular problem that you can't
solve, write to Dr. Math, and we'll see what we can do to help you get
past whatever's blocking you. more explanation on math forum.

Math Interesting

Welcome to free math tutoring online,
We get this question all the time, and here are a few of the answers
that I've given in the past. I'm sorry if they seem long, but it's an
important question, and I've put a lot of thought into the answers. I
hope you can get something out of at least one of them.


1) Here is one of my favorite stories (from _The Little, Brown Book of
Anecdotes_):

At Columbia University, the young professor Raymond Weaver gave his
first class in English literature their first quiz. more examples on math tutoring;
The young men,
who had been trying to make things hard for the new instructor,
whistled with joy when Weaver wrote: "Which of the books read so
far has interested you least?" They were silent, however, when he
wrote the second, and last, question: "To what defect in yourself
do you attribute this lack of interest?"

Math _is_ interesting, and once you've figured out that it's
interesting, it's the easiest thing in the world, and more fun than
baseball or video games or going to the movies. more on free math.

Math Regular polygon

Welcome to math tutors online free,

Now move to a regular polygon. We lose just a little bit of
generality, because we see that only with an even number of sides can
we call one SIDE opposite another; but otherwise all the definitions I
can see yield the same result. We haven't clarified the definition at
all.

Now make the polygon slightly irregular, and we're forced to make some
decisions. There probably won't be any parallel side, so that's out.
Halfway around the perimeter, or cutting the polygon into equal
halves, may give you an intuitively "opposite" side, but may also give
a vertex, help in math ; leaving the choice uncertain - and both ways would be very
hard to calculate. Actually, once the sides have different lengths,
such a definition applies only to points not sides; and that's the key
to our choice. Since we're talking about sides, our definition ought
to relate to sides.

So we go back to the most basic possible
definition, one that relies only on counting sides - count half the
sides, and you're at the opposite side. This is the "topological,"
rather than "metric" definition - one that doesn't depend on
measuring any distances, but only on how the sides are connected. For
some special purposes a different definition (especially for 'opposite
point') might be useful, but since we're accustomed to thinking of
polygons topologically, this feels so natural to most mathematicians
that we don't bother mentioning it. more on math forum.

Polygon opposite sides

Welcome to online math forum,

Let us study about Polygon opposite sides on math help com,

It might help to know the context in which you have seen the phrase;
but I would say that, in a polygon with an even number of edges, the
side opposite a given side is the side that is separated from that
side by the same number of sides in each direction. Perpendicularity
or convexity is not required, only an even number of edges. You could
define it a bit more formally by saying that, for a 2n-gon, more examples on help in math;
the
opposite side is the nth side counting from the given side in either
direction.

In a pentagon, there is a vertex opposite each side, but not a side
opposite a side.

Math analogy

Welcome to free online math tutor,
To use an imperfect analogy -- don't try to push this too far -- when
you have an attractive melody, there are lots of other 'similar'
melodies that aren't attractive at all. It appears that attractive
melodies -- and useful mathematical systems -- are little islands
surrounded by seas of unattractive -- and useless -- ones.

The question that Minsky is addressing in his article is: Why should
this be the case?

In a sense, then, a mathematician is like an explorer looking for
islands in the Pacific, examples on free math homework help ;
back in the days before airplanes and
satellites. There's no way to know where they'll be, or just what
they'll be like, but -- to an explorer, at least -- there's nothing
quite as exciting as finding one. math forum.

True Math

Welcome to free online math help,

Let us study what is mathematics with math helper,

Mathematics can be defined as the construction and exploration of
formal systems. The advantage of this definition is that it emphasizes
the somewhat subtle point that mathematics IS formal -- which is just
another way of saying that it has no NECESSARY relation to anything in
'the real world'.

What all this means is that what is 'true' in mathematics depends
entirely on what axioms you start with, and what rules you use to
combine them. To take your example of 'proving' that the product of
two negatives is positive -- your result is true given the system you
set up, but it may be false in other systems.

I hope the above explanation was useful, now let us study more examples on math forum.

Math and Art related

Math and Art related :

We all need math help and we use it every day, sometimes without even realizing it! Here are some situations that you may find yourself in on any given day. Each one involves the use of help in math skills. Don't be scared! The checkout lady will not give you a test on your math skills on the spot. These are just examples of how a basic knowledge of math can come in handy.
Almost any artist will tell you that there is some kind of mathematical or symmetrical pattern involved in creating pictures. Art doesn't necessarily require addition, subtraction, division, or multiplication. There is, however, a great need for geometric shapes and figures. Notice the picture at the top of the screen. There are some triangles, squares, rectangles, and parallelograms found in each of the images found in the picture.

Hopefully after viewing this stack free math tutoring online, you will understand a little better how math and art can be related through geometry!

Introduction for Poisson equation

Let us study about Poisson Equation,

Poisson distribution is a limiting case of Binomial distribution under the following conditions.

(i) n the number of trials is indefinitely large ie., n → ∞.

(ii) p the constant probability of success in each trial is very small ie., p → 0.

(iii) np = λ is finite where λ is a positive real number. When an event occurs rarely, the distribution of such an event may be assumed to follow a Poisson distribution.

Definition: A random variable X is said to have a Poisson distribution if the probability mass function of X is

P(X = x) =e−λ λx/x!, x = 0,1,2, …for some λ > 0.

I hope the above explanation was useful, now let us study linear programing

How to solve radical fractions

Let us study how to solve radical fractions,

Mainly addition and subtraction problems are solved using the radical fractions.

For the addition problems, the numerator term are simplified first.

* Then, in the next step, we have to take the conjugate for the given problem.
* After that the multiplication are made to the obtained result.
* Then finally simplify the obtained terms.

For the subtraction problems, the numerator term are simplified first.

* Then, in the next step, we have to take the conjugate for the given problem.
* After that the multiplication are made to the obtained result.
* Then finally simplify the obtained terms.

Factoring expressions by grouping

Let us study about factoring expressions by grouping,

Introduction to factoring expressions by grouping:

In mathematics, factoring is one of the interesting topics in algebra. Using the grouping method, given polynomial expression can be factored.

Polynomial expressions are the sums of a finite number of monomials. It has more than one term and it has a constant value for the each term, for that variable power of integral is raised to more than two.

Perimeter of a rectangle

Let us study about Perimeter of a Rectangle,
The perimeter of a polygon is out side distance of the polygon. A polygon is 2-dimensional; but, perimeter is 1-dimensional and is measured in linear units.

To find the perimeter of a polygon, take the sum of the length of each side.

The perimeter of a rectangle is ,out side distance of the rectangle.A rectangle has four sides,they are equal in length. The formula for finding the perimeter is Side A + Side B + Side A + Side B. This could also be stated as 2*Side A + 2*Side B or 2*(Side A + Side B) .

tangent of circle

Let us study about Tangent of Circle,
Tangent is a line which touches a circle at only one point. At the point of contact with the circle, tangent is at right angles to the radius of the circle. From any point outside a circle, the two tangent lines drawn to the circle is of equal length. Tangent to a circle is a straight line and it won't cross the circle-only touching the circle.

Explanation:

Tangent of a circle is the point where the tangent and the circle intersect with each other.

Least common multiple

Least common multiple :

The least common multiple (LCM) is the smallest multiple that is common to two or more numbers.

Example : What is the least common multiple of 2 and 3?

The smallest multiple common to both 2 and 3 is 6.

Example 2 : What is the least common multiple of 2, 3, and 4?
The least common multiple of 2, 3, and 4 is 12.

Types of Statistics

Let me explain about the types of statistics,
For many people, statistics means numbers—numerical facts, figures, or information. Reports of industry production, baseball batting averages, government deficits, and so forth, are often called statistics. To be precise, these numbers are descriptive statistics because they are numerical data that describe phenomena. Descriptive statistics are as simple as the number of children in each family along a city block or as complex as the annual report released from the U.S. Treasury Department.
Consider two ways of representing descriptive statistics: numerical and pictorial.

Numerical statistics :

Numerical statistics are numbers, but clearly, some numbers are more meaningful than others. For example, if you are offered a purchase price of $1 for an automobile on the condition that you also buy a second automobile, the price of the second automobile would be a major consideration (its price could be $1,000,000 or only $1,000), and thus, the average—or mean—of the two prices would be the important statistic.

Pictorial statistics :

Taking numerical data and presenting it in pictures or graphs is what is known as pictorial statistics. Showing data in the form of a graphic can make complex and confusing information appear more simple and straightforward.
Hope the above explanation was useful to you.

Graphing Linear Inequalities in Two Variables

Let me explain about Graphing Linear Inequalities in Two Variables,
A linear inequality in the two variables x and y looks like

where a, b, and c are constants.
A solution to an inequality is any pair of numbers x and y that satisfy the inequality.
The rules for finding the solution set of a linear inequality are much the same as those for finding the solution to a linear equation.

1. Add or subtract the same expression to both sides.
2. Multiply or divide both sides by the same nonzero quantity; if that quantity is negative, then the inequality must be reversed.

Hope the above explanation helped you.

Explain Mathematical induction

Let us study about mathematical induction,
Mathematical induction, or proof by induction, is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers. It can also be used in more general settings as will be described below. An induction variant is used in computer science to prove that expressions which can be evaluated are equivalent, and this is known as structural induction.
The simplest and most common form of mathematical induction proves that a statement holds for all natural numbers n and consists of two steps:

Showing that the statement holds when n = 0.
Showing that if the statement holds for n = m, then the same statement also holds for n = m + 1.

To understand why the two steps are in fact sufficient, it is helpful to think of the domino effect: if you have a long row of dominos standing on end and you can be sure that
The first domino will fall.
Whenever a domino falls, its next neighbor will also fall.
then you can conclude that all dominos will fall.
Hope the above explanation was helpful.

Coordinates of a Point in Space

Let us learn about Coordinates of a Point in Space,
Having chosen a fixed coordinate system in the
space, consisting of coordinate axes, coordinate
planes and the origin, we now explain, as to how,
given a point in the space, we associate with it three coordinates (x,y,z) and conversely, given a triplet of three numbers (x, y, z), how, we locate a point in the space.
Given a point P in space, we drop a
perpendicular PM on the XY-plane with M as the
foot of this perpendicular (Fig.). Then, from the point M, we draw a perpendicular
ML to the x-axis, meeting it at L. Let OL be x, LM be y and MP be z. Then x,y and z
are called the x, y and z coordinates, respectively, of the point P in the space. In
Fig, we may note that the point P (x, y, z) lies in the octant XOYZ and so all x, y,
z are positive. If P was in any other octant, the signs of x, y and z would change accordingly. Thus, to each point P in the space there corresponds an ordered triplet
(x, y, z) of real numbers.
Hope the above explanation helped you, now let me give you some examples on Coordinates of a Point in Space.