Graphs Definition and 655 Threads

  1. f95toli

    Software for creating graphs for presentations

    I was wondering if anyone has a suggestion for software that can be used to create good looking graphs for e.g Powerpoint presentations? | have access to a range of packages (Excel, Origin, Matlab) but none of them can create really "slick" locking graphs (but they are fine for figures in...
  2. M

    Explanation of graphs involving capacitors (charging/discharging)

    Homework Statement I've tested the circuit above, when the switch is in the 2nd position (not the one on the picture) and got the below graph from the plotted data I received. The capacitor C1 has been charged to 4V, and will start to discharge through R3. I'll have to explain...
  3. S

    MHB Sketching graphs in polar coordinates

    I don't understand why I am screwing this up so bad. Sketch the graph of the equation r = 2 + 4cos(\theta) in polar coordinates. So I did: 0 = 2 + 4cos(\theta) = -\frac{1}{2} = cos(\theta) Then got cos(\theta) is -\frac{1}{2} @ \frac{2\pi}{3} and @ \frac{4\pi}{3} Then i plotted points to...
  4. datafiend

    Deriving the Period of a Tan Function - Trig Graphs

    I know the general equation for trig functions and how to manipulate them: y=A sin [B (x-c)] + D howver , the tan function has a period of ∏/b. how is this derived? I know it has to do with tan = y/x right? but I just don't understand how to derive the period when you're graphing a tan...
  5. G

    Reviewing manuscript for labmate, and they use truncated bar graphs

    So I'm currently trying to review a manuscript for my labmate, who I have good working dynamics with, and I've been slowly combing through the rough draft and find that many of the bar graphs he has in the manuscript have truncated Y axes. He claims to have statistical significance between...
  6. sbstratos79

    Preference of Angular frequency over frequency for sinusoidal graphs

    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 =...
  7. T

    Difference between graphs of -f(x) and f(-x)

    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...
  8. G

    Control Systems Engineering - Signal Flow Graphs

    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...
  9. G

    Irreducible graphs and srednicki's book

    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...
  10. A

    MHB Why Do Class 1 Graphs Contain More Graphs Than Class 2?

    Vizing's theorem states that a graph can be edge-colored in either Δ or Δ+1 colors, where Δ is the maximum degree of the graph. A graph with edge chromatic number equal to Δ is known as a class 1 graph. A graph with edge chromatic number equal to Δ+1 is known as a class 2 graph. which one of...
  11. C

    Graphs - Increasing/Decreasing Intervals

    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...
  12. E

    Perpendicular Graphs: Finding A1/B1 Using Negative Reciprocal | Homework Help

    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...
  13. S

    MATLAB How to plot 3d graphs from multiple .dat files in matlab?

    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...
  14. C

    MHB Graphs of Negative Fractional Powers x^(-p/q)

    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...
  15. C

    MHB Graphs of Functions with fractional powers x^(p/q)

    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...
  16. M

    MHB Exercise about connected graphs

    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 $j \geq i+2$...
  17. S

    [Discrete math] Finding simple, nonisomorphic graphs with 4 nodes

    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...
  18. T

    Intersections of Sine Graphs and Biorhythms

    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...
  19. LarryS

    Molecules Structure as Planar Graphs?

    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...
  20. jk22

    Spatial graphs and their chromatic number

    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...
  21. 1

    How to draw graphs and level curves?

    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
  22. 1

    What Are the Level Surfaces of Multivariable Functions?

    Homework Statement Describe the level surfaces and a section of the graph of each function/ or sketch f R3-R (x,y,z) -> 4x^2+y^2+9z^2 describe the graph of each function by computing some level sets and sections (x,y,z) -> xy+z^2 Homework Equations The Attempt at a Solution...
  23. P

    How Do Velocity and Acceleration Vectors Behave in Projectile Motion?

    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...
  24. F

    MHB Strong induction hypothesis for statement about connected graphs

    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...
  25. N

    Interpreting Velocity vs Time Graphs

    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...
  26. O

    Graphs of acceleration, velocity, position

    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...
  27. N

    Why are these graphs so different? y^2=x y=sqrt(x)

    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 :).
  28. J

    How to Set Up Integrals for Volumes by Rotation Involving Arctan and Arcsin?

    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...
  29. A

    Vertical lines on postion vs. time graphs.

    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...
  30. X

    Graphs of Fractional Functions

    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...
  31. D

    Engineering How to plot output graphs of circuits involving diodes and capacitors?

    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...
  32. mathmaniac1

    MHB Position time graphs for different acceleration

    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
  33. Fernando Revilla

    MHB Symmetric Graphs: f(x)=3^x and g(x)=(1/3)^x Explained

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

    Polar graphs really important and tangents

    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...
  35. S

    I'm trying to create a function that graphs a capital B

    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...
  36. P

    Why Plot T² Against 1/K for a Straight Line Graph in Oscillation Studies?

    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...
  37. O

    Sketching Graphs using Eigenvalues

    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...
  38. P

    Sketching Graphs using limit information

    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...
  39. I

    Area Under Graphs: Finding Work Done

    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...
  40. M

    MHB Polar Graphs and a question about their poles

    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...
  41. K

    Graphs of Frequency for Car Moving in a Circle

    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...
  42. M

    Sketch the graphs of the functions - Calculus question

    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...
  43. M

    Sketch the graphs of the functions - Calculus question

    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...
  44. P

    Refractive index experiment/finding error on graphs

    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...
  45. L

    LaTeX How to Fit Graphs and Text on the Same Page in LaTeX?

    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...
  46. R

    Force and Potential Energy Graphs: Mastering Physics HW 11.39

    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...
  47. B

    Carnot Cycle Graphs: Understand Work and Temperature

    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...
  48. B

    MHB Nonisomorphic graphs with 10 vertices all of degree 3

    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...
  49. R

    The slopes of these graphs represent what? (Magnetic Fields)

    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...
  50. B

    Graphs of Continuous Functions and the Subspace Topology

    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...
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