Graphs Definition and 625 Threads

Quote from 'The Physics of Vibrations and Waves by H.J.Pain': "However when we solve the equation of motion we shall find that the behaviour of x with time has a sinusoidal or cosinusoidal dependence, and it will prove more appropriate to consider not \nu, but the angular frequency \omega =...

It often seems as though it's backwards from what it should be, I had understood -f(x) meant to flip x and y, from positive to negative, or vice versa, and f(-x) to mean you just make x negative. If you had the points (2,2) you'd make them (-2,-2) for -f(x) and (-2,2) for f(-x) Is my...

Hi, I seem to be having some issues going from state space representation of a system to signal flow graph representation. My troubles seem to be, if I have something like this \frac{d}{dt}x_{1}(t) = v_{1}(t) In state space representation I list functions to which the derivatives are as...

Srednicki's QFT book uses scalar \phi^3 as an example of a QFT. To make a calculation to all orders, Srednicki claims (chpt 19) you calculate all 1P1 graphs for 2 external lines, giving the self-energy. He then says you calculate all the 1p1 graphs for 3 external lines, giving the 3-point...

Homework Statement #1: The graph of f' is shown. Find the intervals on which f increases. #2: The graph of f'(x) is shown. Give the interval(s) where the graph in concave down. Homework Equations Not sure. The Attempt at a Solution #1: Well, I thought it was (-infinity...

Homework Statement If the graphs of A1x + B1y = C1 and A2x + B2y = C2 are perpendicular, express the following in terms of A2 and B2. A1/B1= ? Homework Equations Negative reciprocal The Attempt at a Solution I thought that by expressing A2 and B2 with A1/B1, it would just...

In my project I basically need to plot 3D color coded surface graphs using MATLAB taking input from multiple .dat files (i have 1000 .dat files). In each file I have parameters x and y, and when I take multiple files, each having a different value of z, I can finally plot a graph. so does anyone...

Can someone explain how these graphs are drawn. How does the value of p/q affect this graph? How does the domain and range change? How are the asymptotes found? The below is an image about what I'm talking about: Here is a question the deals with this type of graph (no idea how to solve it...

Can someone explain the following: How does changing the value of p/q affect the drawing of the graph (so domain/range/shape etc) What makes this graph an odd function? How to work out asymptotes? Heres a picture so you know what I'm referring to: And below is a question dealing with this...

Hey! :o I got stuck at the following exercise... Could you give me an idea how to show this? Let $G=(V,E)$ be a connected graph and $u,v$ $\epsilon$ $V$.If $d(v,u)=k$,then there is a path $v=v_{1},v_{2},...,v_{k+1}=u$ so that $\{v_{i},v_{j}\}$ doesn't belong in $E$ for $j \geq i+2$...

Homework Statement Draw all nonisomorphic, simple graphs with four nodes. (Hint: There are eleven such graphs!) Homework Equations N/A The Attempt at a Solution Well if you can imagine a square with the nodes as the vertices and no arcs connecting them, I figure that's isomorphic...

Homework Statement Hi guys I was wondering how to find the points of intersections between 3 different sine graphs. For an assignment I am trying to find when my three biorhythms (Physical, Emotional, Intellectual) will all cross at once. Each cycle runs on the following time frame...

I have read that the structure of almost all organic molecules can be represented visually as Planar Graphs, i.e. 2-dimensional lattice-like structures consisting of nodes (points) connected by lines in which no lines cross. From the perspective of Physical Chemistry, does anybody know why this...

Suppose a generalization of planar graph is considered into 3D space : a graph is said "spatial" if it can be constructed in Euclidean 3D space in such a way that no edge intersects a face. The questions are the following : -as for plane graphs their chromatic number is 4, can we show...

Homework Statement f(x,y,z) = 4x^2 + y^2 + 9z^2 another one is xy+z^2 how do u draw level curves and graphs for these? Homework Equations The Attempt at a Solution Just need somewhere to start Thanks

I have a theory question I was wondering about. Today we learned that on a graph of projectile motion, velocity always acts tangent to the graph of the projectile. Why is is this? Also, does acceleration always act down on a projectile? How do acceleration and displacement vectors act on a...

Use strong induction to prove that if G is connected and every vertex has even degree that G has a Eulerian Circuit. a)verify the base case where G has no edges - done b)Write down the strong induction hypothesis that asserts the statement is true for all graphs that meet the hypotheses and...

Hello guys, I am having a hard time understanding velocity vs time graphs. In one of my homework problems I was given a velocity vs time graph and asked to find the average speed in a time interval of 9 seconds. I am unsure how to go about this. Also, how would I find displacement at a...

im confused with finding the max velocity , acceleration, and position. Usually in these types of problems I'm given a function, and an interval and have to find the max acceleration or velocity. Sometimes a negative number comes up which is greater in magnitude than the other numbers...

Why are the graphs of y2=x and y=√x so different? They're supposed to be the same, aren't they? I'm usually good at maths but I honestly don't understand this. Can someone explain please? Thanks :).

Homework Statement Set up the integral (but do not solve) for the volume of the object created by rotating the region bounded by y = arctan(x) and y = arcsin(x) in the first quadrant. Homework Equations I = ∏∫(f(x)^2 - g(x)^2) dx The Attempt at a Solution a.) rotate about he x...

I understand how position vs. time diagrams can give velocity. If the line is flat then the velocity is zero (the particle is still), and all the other basic things I need to know, but what if the line was vertical? The slope would be undefined; therefore, velocity would be undefined. In...

Hello, I have a problem that has me stumped, please help. Question: Find the equations of the asymptotes of the following fractional functions., and then, draw the graph and label x- and y-axis points of intersection. The equation: y= x/(x + 1) My try at it: I first divided x by (x + 1) to get...

Homework Statement Given that the diodes are ideal for the circuits a) and b), plot each of their output for the input shown. Label the most positive and most negative levels. Assume CR >> THomework Equations The Attempt at a Solution I am having a really hard time understanding the role of...

How can I draw the position time graph for uniform acceleration? a)positive b)negative and for non-uniform acceleration? How would these look like

I quote a question from Yahoo! Answers I have given a link to the topic there so the OP can see my response.

Hi, I really need help with this as exam is tomorrow The question is to find the points on the cardioid r=a(1+costheta) where the tangents are perpendicular to the initial line here is the answer http://gyazo.com/e8b4cbd36f0ef71d0cdf13be256d8618 Why is pi not included in the...

I'm trying to create a function that graphs a capital "B" So it's not really a function, it has multiple y values for some x values, but I'm achieving that by using "±" signs when appropriate. My problem, however is the vertical line. I thought for a long time how to come up with a equation...

So, I have to assess the relationship between the Constant of a Spring and the Time Period of Oscillations. I have researched the equation that links the two and I know that to have a straight line graph I need to plot: T2 against 1/K However, I do not know why; how I get to that conclusion...

Homework Statement For the conic, 5x2+4xy+5y2=9, find the direction of the principal axes, sketch the curve. I found the eigenvalues as 3,7 but have no idea whether the 'new' equation is 3(x')2+7(y')2 or 7(x')2+3(y')2 is there a way to determine which 'way' it goes? I took a guess...

Homework Statement For each of the four cases below, sketch a graph of a function that satisfies the stated conditions. In each case, the domain of the function should be all real numbers. (professor also mentioned he wants us to write it out in piecemeal function format) a) lim(x→2) of...

Okay, so I've got a question on graphs and areas under curves. For example, a force-distance graph, with force on the y-axis and distance on the x-axis, where you find work done from that graph. I understand that a constant force will produce a horizontal line on the graph, like so: Force...

Trying to help someone out with their assignments on basic polar graphs. This first question is very easy to determine the poles from as the limacon has an inner loop. But when you have a limacon WITHOUT (below) an inner loop, how does the "max from pole" and "min from pole" figure? It's been...

Homework Statement A car with a horn making a frequency of 'f' Hz is driven in a circle with a radius of 'r' m. The uniform velocity of the car is v ms-1. Draw graphs showing the frequency observes by the observer who is standing on; a) Position A b) Position B (Position B is very far...

Homework Statement Sketch the graphs of the functions. Indicate intervals on which the function is increasing, decreasing, concave up, or concave down; indicate relative maximum points, relative minimum points, points of inflection, horizontal asympototes, vertical asymptotes, symmetry, and...

Homework Statement Sketch the graphs of the functions. Indicate intervals on which the function is increasing, decreasing, concave up, or concave down; indicate relative maximum points, relative minimum points, points of inflection, horizontal asymptotes, vertical asymptotes, symmetry, and...

I'm writing a physics practical report on the refractive index of glass. We performed an experiment in which we measured the incident angle and the refractive angle of light entering a glass block. When plotting sin(ϴa) against sin(ϴg) with the y-intercept as 0 (to satisfy snell's law...

There was not enough room to fit my graphs in the text where they were supposed to go so latex put them in the next page. This meant that this page only has these two graphs and the text begins again on the page after that. There is a lot of space between (see attached). How do i make it take up...

Homework Statement The figure below shows the force exerted on a particle that moves along the x-axis. Draw a graph of the particle's potential energy as a function of position from x=0 to x=1.1 . Let U be zero at x=0.Homework Equations F=-dU/dxThe Attempt at a Solution I decided to divide the...

Hello, In the Volume vs. pressure graph I understand the area under the curve is work. However, I have a hard time reconciling this graph with a pressure vs. temperature or a temperature vs. volume graph. What does the area inside the box represent? Work? Like which parts on the P vs. V graph...

Hello, I need help finding all non-isomorphic graphs that have exactly ten vertices, and each vertex has degree three. Does anyone know where I could find them? Or how many there are? I know that playing around with generalized Petersen graphs gives a few, but I doubt that would give all of...

For a magnetic fields lab I am asked to graph the data and from there, use the slope to find a certain value. For one of them, I am asked to plot the current (x) vs the magnetic field (y). The slope is supposed to give me a value, I have the slope, no clue what the value would represent...

Let U be a subset of ℝn be an open subset and let f:U→ℝk be a continuous function. the graph of f is the subset ℝn × ℝk defined by G(f) = {(x,y) in ℝn × ℝk : x in U and y=f(x)} with the subspace topology so I'm really just trying to understand that last part of this definition...

find the values of x for which x + 4 > \dfrac{2}{|x+3|} as the | x + 3 | is positive I thought it would be okay to just bring it over so: (x+4)(x+3) > 2 solving this, I get x > -2 and x < - 5 however drawing a sketch of the original question shows that the only value needed is x...

I am sort of confuse about this step functions. In the picture below, the top is the distance time graph and the bottom is velocity time graph. The arrow pointing is what is confusing me. Its not suppose to be a step up (answers in my book) but i calculated the slopes First curve line = 30...

I am so confuse! It's regarding translating motion graphs. When translating a position time graph to a velocity time graph, if a curve line is followed by a straight diagonal line (both going up) do I use a step function? Cause in this video...

I am starting to panic... How do you find the average velocity from a Velocity-time graph. The graph has a slope of 0.75 and starts at (0,6) and ends at (8,12) I calculated V.avg = 9. (( 6+ 12)*0.5) but the answer sheet says 12? How? And, in general how do you find the acceleration from a...

Can anyone recommend me software for efficiently drawing graphs? By graphs, I mean graphs from graph theory, i.e. pictoral representation of a network with edges and vertices. I need to minimize the wire crossings in a certain Boolean circuit network I have developed. If the software can...

Quote from Wikipedia: I've been told by people that a graph with a straight line on it can be proportional but only if it passes through the origin. I fail to see why that's true. If a translation was applied and it was moved 1 unit to the right then, all of a sudden, x is not proportional to...

Woops, it's the 2010 exam -- my bad.Homework Statement They have diagrams that I'm not sure how to display; so find them at the following link: https://aapt.org/physicsteam/2010/upload/2010_Fma.pdf These are #'s 19 and 20 and they refer to the PE graph in 18. Homework Equations Not sure...