Trigonometric equations

Lee Rudolph · science forum Guru Joined: 28 Apr 2005 Posts: 566

mareg@mimosa.csv.warwick.ac.uk () writes:

Proginoskes · science forum Guru Joined: 29 Apr 2005 Posts: 2593

Gerry Myerson wrote:

Matlock · science forum beginner Joined: 19 May 2006 Posts: 13

Well I must say that you have asked a very good question.If I am not
mistaken then you are trying to grasp the concept and abstractness of
mathematics.I will recommend you to read as many booksyou can and
always ask why and THINK.First of all you should know that when you
find the area of a velocity graph then you get distance not the
position.Now you are aware that distance = velocity * time. A
multiplication on a graph is always represented by an area.Thus the
area on a velocity time graph gives you the distance.To understand what
does an "area under a curve" means then you should know that a curve is
made up of infinite straight lines.Now join the end points of these
straight lines to the base perpendicularly.Thus you get infinite
rectangle.Find the area of the rectangles and add you will get the area
of the curve.This is how the integral calculus was invented.There is a
famous paradox which goes like this

"If a body moves from A to B then before it reaches B it passes through
the mid-point, say B1 of AB. Now to move to B1 it must first reach the
mid-point B2 of AB1 . Continue this argument to see that A must move
through an infinite number of distances and so cannot move".

A method of exhaustion was practiced by Greek mathematician
Archimedes.They practiced the method of finding the area using the
method infinite series.

Well regarding what is the difference between differentiation and
integration is that the slope the curve selects a a single point on the
curve and draw the tangent and find the tan of the angle you get.Thus
it selects only one point. Integration adds all the area of the
rectangle so it unconsciously adds all the point.I hope this will
satisfy your answer.
You should read lots and lots of books for one topic and always THINK

Amadeus Train-Owwell Zirc · science forum Guru Joined: 24 Mar 2005 Posts: 507

Newton didn't do that, contrary to the Royal Society Industry;
for instance, the only calculus in *Principia* is "dxdy,"
that little rectangle (book2section2paragraph2, as I recall,
as told at a 15' talk at the first joint North and South Calif. Meeting
of the MAA .-)

thus:
that's beautiful -- when I configure it out.

thus quoth:
Larson-Hostetler-Edwards, for instance, call the above the *second* F
T of C. To them, "the" F T of C is that when F(x) is an
antiderivative of f(x) then
integral[ f(x) dx, a, b ] = F(b) - F(a)

thus:
I tend to go with Bucky -- with *some* math thrown in, but,
as LaRouche says, the "quod erat demonstrandum"
of Euclid is rather antipythagorean --
which is how the stuff was dyscovered.

that said, Euclid can profitably be digested,
by starting with Book XIV by Hyspicles,
which is in accordance with one of Bucky's better dicta.

(I am not a "buckywitch;" see the last URL in my sig .-)

Brian M. Scott · science forum Guru Joined: 10 May 2005 Posts: 332

On 28 May 2006 09:01:48 -0700, DarkProtoman
<Protoman2050@gmail.com> wrote in
<news:1148832108.625462.199620@u72g2000cwu.googlegroups.com>
in alt.math.undergrad,alt.algebra.help:

lingyai · science forum beginner Joined: 14 Apr 2006 Posts: 21

This a somewhat narrow response to Bob Marlow's response to the original post.

Bob, twice you write "English is not your first language is it?" with reference to passeges in James' original.

English is my first language, and I fail to see what you mean. Those passages are error-free.

If you want to fault someone or something, it might be better stick to real faults.

Regards,

Ken (lingyai)

Robert B. Israel · science forum Guru Joined: 24 Mar 2005 Posts: 2151

In article <1148900816.620649.62830@j33g2000cwa.googlegroups.com>,
Protoman <Protoman2050@gmail.com> wrote:

ya mutha · science forum beginner Joined: 30 May 2006 Posts: 1

wel i realli dont care... i think u should jump off a cliff and tumble to death hahahahahi am the maths wizzard and may u hav BAD sex forever

Robert B. Israel · science forum Guru Joined: 24 Mar 2005 Posts: 2151

In article <1148959011.509791.325290@y43g2000cwc.googlegroups.com>,
Proginoskes <CCHeckman@gmail.com> wrote:

bigben · science forum beginner Joined: 30 May 2006 Posts: 1

If I am being you I say use the formulae x^a=ax^(x-1) put a=x and get x*x^(x-1)=x^x

David Moran · science forum Guru Wannabe Joined: 13 May 2005 Posts: 252

Tim Smith · science forum beginner Joined: 16 May 2005 Posts: 15

In article <BLOCKSPAMfishfry-B86AC7.17081304062006@comcast.dca.giganews.com>, fishfry wrote:

Ben Young · science forum beginner Joined: 15 Jun 2006 Posts: 9

why do you waste time posting here?

Ben Young · science forum beginner Joined: 15 Jun 2006 Posts: 9

Patrick Hull · science forum beginner Joined: 20 Jul 2006 Posts: 1

i just wanted to say... wow.

-ph

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