Graphs Definition and 625 Threads

Homework Statement Show that if every region in a planar graph has an even number of bounding edges, then the vertices can be 2-colored. The Attempt at a Solution So i think it would suffice to show that if that all the regions have an even number of boundary edges, then, a complete...

Hi! I've attempted to draw the position, velocity and acceleration graphs for a bouncing ball. This is the link for it: http://i196.photobucket.com/albums/aa59/aliatehreem/bouncing_ball.jpg What I'm wondering is, the instant in which the ball is in contact with the ground, is the...

[SOLVED] intersections of graphs Homework Statement At how many points in the xy-plane do the graphs of y=x^12 and y=2^x intersect?Homework Equations The Attempt at a Solution When x is positive we have x^12=e^{12 logx} and y=2^x = e^{x log 2}. When x is negative, we have x^12=e^{12 log -x}...

Homework Statement figure is asnapshot.jpg correct & incorrect graphs is aasnapshot.jpg Draw the history graph D(x=0m, t) at x= 0m for the wave shown in the figure. Homework Equations The Attempt at a Solution I'm not quite understanding the concept of snapshot and history...

We had a test recently in trig on graphing trig functions. I found it all quite simple except a problem that we had not discussed. I believe the problem was something like y=cos^2(x). I graphed it by squaring each cosine value, because i had no idea what else to do, but when i turned the test...

Hey guys, I need a good program for making a large directed graph, i.e. like 25-30 nodes with nice arrows. Would Mathematica or Maple work?

how to visualize three dimensional figures for example quadratic surfaces in three dimention when graph is plotted on two dimensional sheet which is usually the case.

http://math.berkeley.edu/~theojf/Midterm2Practice.pdf can someone please help me on problem number 2 of the link above? apologies for the bad handwriting. my professor is just horrible with that. i've done max and min with multivariables before and I've done chain rule , but I've never...

From the definition of a graph, it dosen't mention anything about a pictorial graph. Things are only dealt with set wise so it is possible to do graph theory without graphs? It would be extremely unnatural though.

Can anyone tell me what the density of salt is on average? I know there are many types of salt, but there must be an average value to this right? Because I’ve got the volume of this salt particle and I need its density in order to work out the mass. I also want to plot a graph of Intensity...

Homework Statement If we have a velocity-time graph that is negatively accelerating, how would we draw the graph for the acceleration time graph? Would we draw it below zero because it is negatively accelerating (negative number). The picture of the graph is attached. The Attempt...

Homework Statement Prove that every triangle-free graph G on n vertices has chromatic number at most 2\sqrt{n}+1. Homework Equations The chromatic number of a graph G is the smallest number of colors needed to color the vertices of a graph so that no two adjacent vertices share the same...

Homework Statement How is the theorem "Continuous functions have closed graphs" proven in the setting of a general topological space? (assuming the theorem is still valid?)

I am looking for a link to some graphs that illustrate horizontal and vertical flight of a projectile. Anyone have a suggestion? Thanks.

"Distance from..." graphs At G.C.S.E level (England), there are still some questions knocking around about "distance from.." graphs as opposed to "distance traveled .." graphs. The first can go down as well as up, as the person returns to their starting place, while the second can only...

Some questions about transforming graphs that I would like a hand with. I've given them educational guesses, but if someone could take a look at them, that would be great. Homework Statement 2. Explain the difference in the transformations to the graph of f(x) by f(x+2) and f(x)+2. 3...

Homework Statement There are many variables and many questions, I'd just like to know how to go about it because I can't seem to understand the teacher and he's always in the way when he writes down equations, also he's a bit sporadic when it comes to giving us notes, jumping from subject to...

Hello, I posted this several weeks ago in another forum, but I never really got a good answer. Could someone please take a look at this an tell me if it's mathematically valid? Thanks! Do Equations in More Than Three Variables Represent Graphs in Higher Dimensions...

hello, now i am doing final project 4 my graduate from university.. and the title of my project is interactive teaching modul of graph Theory i've some quetions coz i don't really know about graph theory.. could u help me?? 1. what kind of primary topics on graph theory which have...

Hey, first of all, I'd like to apologize if I'm posting this in the wrong forum. I wasn't sure whether I should post it here or in the mathematics forum. Recently I was going through an Algebra book, and I saw a chapter on solving linear equations in three variables. The book explained how these...

Homework Statement y=(2x+1)/\sqrt{x^2+1} Find where are the asymptotes, where is it increasing increasing/decreasing, ect... Homework Equations The Attempt at a Solution when I took the first derivative (im trying to find where it increases/decrease), I got dy/dx =...

hi! Does anybody know, is there a way to show 3d directed graphs, where vertices are given with coordinates? tnx for help

I have recently been working in Mathematica 6.0 trying to graph various curves using ParametricPlot3D. I have specifically defined: a1[p_]={(sqrt(25-p^2))*Sin[10*p],(Sqrt(25-p^2))*Cos[10*p],(p)^2}; Graphing this is no problem. The problem is I am trying to turn this into a Fernet type...

Envy of the 3D modeling abilities of Hans, I have tried mine. So, new thread for string related plots. In this post, you can see interacting strings. Really you can not guess if each vertex is a fermion or a boson in a superstring theory; I can not see how to tell it in pictorial way. So even...

basically I'm in the last 2 chapters of multi variable calculus (right now in double integrals) and i know how important it is in some exercises to sketch the 3-d graphs accuratley. However all the 3-d graphs that I'm trying to sketch are very off... even a simple shape like a cylinder looks...

Homework Statement If I’m to graph a plot of s (displacement) vs t^2 (time squared) then what would be the independent and dependent variable, t or s? I’m supposed to supposed to use this graph to find a slope with error bars and use the appropriate kinematics equation [which I think is s(t)...

In graphing functions, I don't get how adding a constant c to the x value in say y=f(x) moves the graph to the left. Surely, if you add a constant to x, its value increase and so the graph should move to the right?

Homework Statement I'm studying for a Calculus test and I am having trouble on a problem. And who better to ask than the members of physicsforums!? Basically, we are studying average acceleration, velocity, secant and tangent lines. We are given the graph of a function, and its...

1. [FONT="Comic Sans MS"]I REALLY need help here! I've been doing pretty good in physics so far this year, but a new quiz devastated me. Here's the problem: I was given a Force vs. Time graph and a lot of the questions pertained to the mass of the object. How do I find the mass only given a F vs...

Consider the graph of z=xy. Choose the section y=x, i.e. intersect the plane y=x with the graph z=xy, I get z=(x)(x)=x^2, with y=x. Now is this a parabola? (note that the curve actually lies on the plane y=x) If so, why? Also, is this parabola going to have exactly the same shape as the...

Homework Statement 1 = absolute value( (sin(x)-x)/(sin(x))) * 100 Homework Equations Don't think there are any. The Attempt at a Solution I decided to do it graphically, so i graphed y=.01 and y= absolute value(1-(x/sin(x)) I got x = .244 radians for the intersection and I am just...

Homework Statement Preliminary questions: 1. John's weight is 618 N. He is sitting on a bosun's chair which is suspended from a spring. John's feet are pressing vertically down on a bathroom scale which reads 45 kg. What force is John exerting on the bathroom scale? Correct, computer...

Homework Statement 5. A car starts from xi = 10m at ti = 0s and moves with the velocity graph shown in figure on the right. a. What is the object’s position at t = 2s, 3s, and 4s? b. Does this car ever change direction? If so, at what time? Homework...

Hey all Recently in a paper I was doing I came across a question which involved the graphing of a function. Now I am doing GCSE mathematics (the real exam) soon, having finished the syllabus; and have never come across anything like this before! Here's the question The graph y=f(x) is...

need urgent help on graphing velocity graphs Homework Statement (a) You walk 71.4 m at a speed of 1.22 m/s and then run 71.4 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.16 min at a speed of 1.22 m/s and then run for 1.16 min at 3.05 m/s along a straight track...

Homework Statement r = 2 r^2 = 9sin(2theta) Find the 4 points of intersection Homework Equations The Attempt at a Solution Since r = 2, 4 = 9sin(2theta)... 4/9 = sin(2theta) Taking the inverse of 4/9 only gives me one answer on the calculator (obviously), and I do not know...

If the original graph, f, has a cusp, obviously the derivative is not defined at the x-value of the cusp (resulting in an asymptote). but, what if you are viewing a graph of the derivative, f ', and it has a cusp.. what is going on at the x-value of the cusp on the original graph, f ?

I'm have a hard time with graphs equal to zero like these: A. x^{2}+y^{2}-4x+2y+5=0 B. xy=0 C. 2x^{2}-3y^{2}+8x+6y+5=0 I know how to simplify them: A. (x-2)^{2}+(y+1)^{2}=0 C. 2(x+2)^{2}-3(y-1)^{2}=0 However, I just can't seem to figure out there graphs. They seem so...

I have problem about constructing graphs. Comparing these two problems: 1) A hiker walks 27.0km from her base camp at 35 degrees south of east. The next day, she walks 41.0 km in a direction 65 degrees north of east. In my book, the graph is like the one that i show you here. but why 65...

Homework Statement http://img265.imageshack.us/img265/4572/graphrj8.jpg (The particle starts from rest at the origin.) 1: What is the velocity at t = 5s? 2: What is the position at t = 5s? The Attempt at a Solution I'm thinking -2 m/s velocity and -8 m position at t = 5s, but...

Homework Statement Sketch on the same axis the graphs of y = |x| and y = 2 - x^2. For which values f x is the inequality |x| < 2 - x^2 Homework Equations The Attempt at a Solution I don't really understand what it is asking me to do, I've sketched the two curves, y = |x| 45...

I'm not following the format because this isn't really a homework question -- I'm just studying for my finals and encountered a few graphs in the electricity unit, and want a few things cleared up. So in a current-voltage graph, the slope is 1/R, and power (according to my teacher) is the...

Homework Statement http://img149.imageshack.us/img149/1751/untitled3zt8.jpg If g(x) is an antiderivative of f(x) and g(0)=2, detemine the x-coordinates of the points on the graph of g(x) corresponding to its local max and min values. The Attempt at a Solution I understand that...

Just a question. The internet is mixed with this. But in a Stress Strain Graph; after the YIELD POINT, does the material experience more strain for a lesser stress? I.e. does it slightly curve down before going up?

I'm having a lot of problems with this topic. I know what the sine, cosine and tan graphs look like. one question i come across fequently is "given that sin 30°, what is a) sin 150° b) sin 330°. - i can work it out on a calculator but the questions on a non-calc paper. I am presuming it's...

Homework Statement Show using a probabilistic method that a graph with average degree d has a stable set of cardinality at least n/(2d). I can't think of a probabilistic method that will do this.

Homework Statement Two identical gliders are floating at rest on an air track. Glider 1 is given a quick push in the positive x-direction towards glider 2. When they hit, they stick together. The graphs below describe some of the variables associated with the motion as a function of time . The...

Homework Statement Two graphs defined for a two dimensional torus: f_1(t) = (\frac{1}{\sqrt{2}}(a\ +\ b\ sin\ t),\frac{1}{\sqrt{2}}(a\ +\ b\ sin\ t),b\ cos\ t),\ t \in (-\frac{\pi}{2},\frac{\pi}{2}) f_2(t) = (a\ cos(t+\frac{\pi}{4}),a\ sin(t+\frac{\pi}{4}),b),\ t \in...

I'm looking for a program which can draw 3D graphs which can identify the generating curves and ruling. i'm trying to draw up these 2 graphs z = 2x^2 + y^2 x^2/9 + y^2/9 + z^2/16 = 1 any ideas?

Homework Statement no specific question but generally they give you a graph of f(x) (with semicircles, lines, above/below x-axis - could be anything) and say that g(x) is the integral from 0 to x of f(x). then they will ask things like: 1) g(2) 2) find relative min/max for g(x)...