Areas Definition and 246 Threads

I know that people in rural areas can't get gas to power their gas stoves and furnaces (to warm their houses) from the utility companies. The gas must be put in portable containers and transferred to the houses. I often see propane gas tanks for sale at grocery stores and Wal-Marts, etc...

I'm a homeless transient. One constant I've noticed is that around the downtown area in all medium sized ( population 100,000 + ) cities or larger, there are large groups of teenagers that hang around at night, goofing off and shooting the bull for hours. Don't they have any work to do? Don't...

Given a circle radius 1 how do you divide it into pieces of equal area using parallel lines? Maybe find the area under f(x) = \sqrt{1-x^{2}} OK \int f(x)dx = \frac{1}{2} \left( x\sqrt{1-x^2} - \sin^{-1} (x) \right) Well how do you find the location for the cuts if you need to divide the...

This is an elementary question: restricting ourselves to the euclidean plane, is there a strict definition of what kind of set of points constitutes a region with area? For example, does a set of points describing a circle adjoined with an isolated point outside the circle still constitutes a...

Hi, I was asked this question on another forum and was interested in it... It's somewhat related to what I have been doing lately so I gave it a (few) tries, but I never really worked it out... Consider a circle with a radius of 32 units. We want to divide the area of the circle into 9...

Hi, I was asked this question on another forum and was interested in it... It's somewhat related to what I have been doing lately so I gave it a (few) tries, but I never really worked it out... Consider a circle with a radius of 32 units. We want to divide the area of the circle into 9...

I've just begun investigating differential forms. I have no experience in this field and no formal, university level training in mathematics, so please bear with me. I understand that a differential form may be thought of as a family of linear functionals; more precisely, it is a function that...

Hi I have been thinking about an idea I have involving calculus that I think someone here can help me with. Is there a way you can determine a simple function (like f(x)=Ax) that has the same area dA from X to dX as another complicated function like f(x)=x^2. If you refer to the two...

the question is.. Find the areas of the surfaces generated by revolvin the curves about the indicated axes. x = (1/3)y^(3/2) - y^(1/2), 1≦y≦3; revolved about y-axis so i use the general formula "S = Integral 2π (radius)(dS)" and the radiu in this case is x which is (1/3)y^(3/2) -...

Hello, I'm currently a sophomore in high school and have recently become very interested in physics. I do have a respectable number of questions, in which I apologize for any of those who will be reiterating what has been said in previous topics; however I've yet to find any threads which...

Do PhD students in the UK have to undergo exams on important areas of physics (e.g. EM Jackson-style) not necessarily related to their area of research the way that American grad students do?

Homework Statement Find the area between x=2(y^2) and x+y=1 The Attempt at a Solution First I'm trying to find their intersection so To solve for y I set up: 2(y^2)=1-y 2(y^2)+y=1 y=0,1 But, I notice that my teacher did: 2(y^2)+y-1=0 (2y+1)(y-1)=0 y=-1, 1/2 Why are...

Homework Statement I won't post the entire problem since I'm only stuck on one part of it. I need to find where y=cos x and y=sin 2x intersect. Homework Equations sin(x)=cos(x +- pi/2) The Attempt at a Solution cos x = sin 2x since sin(x)=cos(x +- pi/2), sin 2x =...

hi how can the following be proved using integral methods: a) prove surface area of sphere, radius a, is 4 \pi a^2 b) prove area of a disk, radius a, is \pi a^2 c) prove volume of ball, radius a, is \frac{4}{3} \pi a^3 d) prove volume of axisymmetric cone of height h and base with radius...

Greetings everyone! I am new to this forum. I take a variety of mathematic courses and needed some help so found this website. Its great to see a variety of people interested in mathematics! In my current calculus class, we are learning about Integral areas in geometric shapes and...

please help in mathematica hello everyone. i am very new on mathematica.I have 2 problem :( at first, i have to eavluate the numerical equivalent of tan(45/Pi+Pi/45) when i wrote on mathematica like this: In[21]:= Tan[45/Pi+Pi/45] Out[21]= \!\(Tan[45\/π + π\/45]\) it gives me...

Four circular cardboard pieces each of radius 7cm are placed in such a way that each piece touches two other pieces.Find the area of the encosed by the four pieces.Can anyone help me to solve this problem?

Homework Statement Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi Homework Equations the integral of (top equation - bottom equation) The Attempt at a Solution Change the window on the graphing calculator to...

Is there in mathematics a field of study known as "point-set theory," and is this an area that has been fully developed that no further research is needed or being performed? Can the same be said for vector analysis?

i added 2 files with the question and the way i tried to solve it it messes up and nothing come out if my handwriting is problematic to you the question is: parabula y=x^2 +b*x+c cuts the X axes in two points one of them is (1,0) the area between the parabula the X and Y axes equals...

Sunspots are areas of intense magnetic fields. They are supposed to be hotter than the surface of the sun but are darker because of decreased convection with the interior of the sun. Is it possible for these fields to trap matter from the sun's core and magnetically confine it at enormous...

I just joined, looks like a great forum here! After being out of school for 5 years, I'm looking to get back into college. It looks like pretty much everything is Calculus-based. What areas of mathematics should I study, and know cold, before getting into Calculus? Algebra? Geometry...

Homework Statement The origin and the point (a, a) are at opposite corners of a square. Calculate the ratio of the areas of the two parts into which the curve \sqrt{x} + \sqrt{y} = \sqrt{a} divides the square.Homework Equations I'm sure there will be some use of A = bh. Perhaps maybe the...

Hye everybody... I have a problem here..actually I'm taking International Baccaulareate course and I've required to do a Theory of Knowledge essay in order for me to get my diploma...The question is : *Can liretature ''tell the truth'' better than other areas of knowledge?* I've...

NOTE by SpaceTiger: Split from the "Nasa" thread started by wolram. Here, we'll explore the question of the relation between seemingly disconnected areas of astronomical research. I respectfully suggest these are actually interrelated ideas. By better understanding what the planets are made...

Hi, can someone help me do the following question? (I've cut out some details, leaving the results which might be of help) Let the vector r represent the displacement from the origin to a moving particle of mass m which is subjected to a force F. Results which I've been able to arrive at...

Is it reasonable to assume that if there are areas of space that are causally disconnected from us because they are receding at superluminal velocities then there must be galaxies that we cannot observe? And if this can be assumed then how do cosmologists estimate that the matter in the...

I know nothing about this science, but i was on mushrooms the other night and came up with an idea.. I've seen scans done on the discovery channel on the brain during certain thought processes. If you were to show a screen of red, compared to a screen of yellow to the subject, would...

People, suppose a man can lift a weight equal to his own weight 2 mtrs. off the ground with very little effort. If his dimensions (i.e. LENGTH, BREDTH, HEIGHT) are increased 10 times, keeping his average density constant, will it be easier for him to lift his new weight 2 mtrs. off the ground...

I'm currently taking Precalculus in school, and I've been trying to get ahead by teaching myself Calculus, however I would also be interested in learning about other areas of mathematics (especially those which also relate to physics). Does anyone know of a specific division of mathematics that...

Hello I’m currently working on a nuclear engineering major with a minor in business administration. I absolutely love what I am learning about. There is nothing more I'd rather be doing; I’ve been passionate about nuclear energy from a young age. That being said, I’m a little stressed about...

i was thinking can anyone findv the area of a straight line and also can anyone determine the area of a point or dot as the case maybe ,any suggestions wiil be appreciated

At MKaku.org, we're soon to be launching a new monthly publication written by Theoretical Physicist Dr. Michio Kaku. We'd like PF member feedback on the most fascinating areas in Physics today. Fill out the questionnaire and you will receive a free issue of the new publication when it debuts...

I heard that it is bad to build a house made of stone on an area that is known for Earthquakes. Is that true? Are stones houses the worst against Earthquakes? That is what I heard, but I somewhat disagree with it. Why would houses made of stone be bad for a house? It is heavy and cannot sway...

OK this problem has been giving me nonstop headaches and nightmares for over 4 days! :cry: I just can't seem to understand something here! :frown: Here's the actual problem: Suppose that you have 80 feet of fence to enclose a garden. For each garden design below, find the dimensions...

Give an example of an integral on (-infinity, infinity) that will lead to an ambigious answer if we evaluate the interal in terms of cancellation of areas.

Can anyone maybe make a list of different areas of physics you can specialize in, and what they entail? I've obviously heard of particle physics, solid state physics, etc. but I don't know what they actually ARE (except for very general ideas).

1) For one question, the forcing term is 8cos2x - 4sinx. I am trying to solve by the method of undetermined coefficients. The solution to the homogeneous equation is c1cosx + c2sinx so for the particular solution I was using : Acos2x + Bsin2x + Cxcosx + Dxsinx, where I added the x's into the...

Good evening. I'm having a little difficulty with the summation of rectangular areas when finding the area under a curve. Question: Using summation of rectangles, find the area enclosed between the curve y = x^2 + 2x and the x-axis from x=0 to x=3. Well, I start by dividing the interval...

A)Let An be the area of a polygon with n equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangles with central angle 2pi/n, show that An=(1/2)nr^2sin(2pi/n). B)Show that the limit as n approaches infinity = pir^2. Now, for part A, I don't understand...

Hi I am trying to solve this problem. I would like to be able to solve for the capacitance between two parralel plates of different areas. First I tried thinking of them as concentric cylindrical shells but twisting them to do this is not the same thing I realized because the distance...

[SOLVED] Parametric Surfaces and Their Areas Hello, I am having problems visualizing a concept. First I will post my question as it is given in Jame's Stewart's Fourth Edition Multivariable Calculus text, Chapter 17, section 6, question 17. Find a parametric representation for the given...

OK, say a 90deg triangle, with 5, 12, 13. We know area of it is 30. because 1/2bh... now how do u express it in integrals? And how do you find the value of y at which the triangle is divided into 2 equal sections?

Hello again, The problem states that: Gold has a mass of 19.32 g for each cubic centimeter of volume. a) If 1.000 oz of gold, with a mass of 27.63 g, is pressed into a leaf of 1.000 micrometers thickness, what is the area of the leaf? b) If the gold is drawn out into a cylindrical...

Hey all, as I just posted in my introductory post, I have completed by physics two semester non-calculus series. I have a rule for myself that I don't buy books on a given science subject until I've completed the introductory courses of that given type of science. Since I have, I have a question...

Greetings ! I'm not certain the above name of the process is correct. What I'm talking about is the phenomenon that's occurring since the end of the last ice age - more and more areas are turning into deserts. I also believe that the opposite also happened many times (though I'm not...