Graph Definition and 999 Threads

  1. P

    Graph theory, rank and other characteristics

    Homework Statement hello, I have this graph and i have to figure out these so to speak characteristics. 1) find incidence matrix 2) arrange peak according to rank and layers 3)draw new arranged graph 4) find new connection matricies of peaks and arcs Homework EquationsThe Attempt at a...
  2. M

    Find velocity from Force graph using Work Theorem and Energy

    Homework Statement :[/B] Homework Equations W= \integral(Fxdx) W = \delta KEThe Attempt at a Solution I used the definition of work to find the final velocity at 2m, and then work theorem together with integration for the changing force. I ended up having different solutions at first but...
  3. M

    MHB Do we get the extrema from that graph?

    Hey! :o I am looking at the following exercise: Detremine the extrema of the function $f(x,y)=x^2y$ subject to $3x+2y=9$. Prove also the second order condition. What kind is the extremum? Is this an extremum of the whole function $f(x,y)$? Draw the contour lines of $f(x,y)$ and the...
  4. F

    Induced EMF graph of a very small wire moving through a coil

    Homework Statement Homework Equations induced emf = - d(magnetic flux)/dt The Attempt at a Solution [/B] I believe the graph will start initially curving upwards, because it begins to cut more and more flux lines which lead to an increased induced emf. Once it is "fully" within the...
  5. T

    I Graph Theory: I understanding the corollaries

    please check the attached photo
  6. T

    How to construct a graph with girth = twice the diameter + 1

    Homework Statement I am trying to verify this theorem for myself. Theorem: Every graph G containing a cycle satisfies g(G)≤2diam(G)+1 Homework Equations N/A The Attempt at a Solution i have drawn graphs and i failed to verify the theorem. is it even possible, since increasing the girth...
  7. T

    A Every graph GG containing a cycle satisfies g(G)≤2d+1

    Proof: Let C be a shortest cycle in G. If g(G)>= 2diam(G) + 2, then C has two vertices whose distance in C is at least diam(G)+1. Question: why is it at least diam(G)+1? cont. of proof: In G, these vertices have a lesser distance; any shortest path P between them is therefore not a subgraph of...
  8. Harsh Patel

    How to find the Coefficient of friction from Fn and Ff Graph

    Homework Statement I have a Force Normal vs Force Friction Graph and I wan to find the coefficient of friction from the graph. Homework Equations The Attempt at a Solution I have tried the formula ff= uFN but my teacher is looking for me to do it using the graph
  9. H

    MHB Optimal Seating Arrangement Algorithm for Friendship Graphs

    Hi all, I am struggling the question, please see attachments. Thanks a lot Devise an algorithm which, given a (directed) friendship graph (in the xkcd format), finds the optimal seating arrangement. Your algorithm should include the following:  a description of the required input format...
  10. R

    How stretching a rubber band, affects the range of a shot?

    Homework Statement I did an experiment on how stretching a rubber band, affects the range or distance of a projectile shot. Variable list: Independent Variable Amount of stretching Dependent Variable Range or distance I created my catapults on my own and used two different rubbers bands...
  11. R

    How the launch angle affects the horizontal distance/range?

    Homework Statement I'm doing a lab report about how the launch angle affects the range of a projectile. Independent Variable Angle of Launch Dependent Variable Range or distance I did an experiment with three trials and here are my results: And then plotted the data. However, it's a...
  12. Arman777

    MATLAB Matlab Displaying the Fit Equation On graph.

    I have a lineer data and I want to write the equation of it on the graph. The x-axis is inverse distance (1/m) and I showed as "d" The y-axis is capacitance (C) and I showed it like "C" My data name is d_C Here my codes that I used for now >> d=d_C(:,1); >> C=d_C(:,2); >> plot(d,C,'go'); >>...
  13. DoctorCasa

    I (Fluid Mechanics) stream function graph

    Hello, I got this stream function ψ(r,θ)=sqrt(r)*sin(θ/2) I have to draw the streamlines of this fuction, however, I'm not sure how to afford this, should I consider this just like a normal function that depends on tetha and rho, or it's more like a polar plot? When i drew the streamlines...
  14. NoahCygnus

    Kinematics: Find average speed from displacement-time graph.

    Homework Statement The problem is as follows; A boy begins to walk eastward along a street infront of his house and the graph of his displacement from the house is shown in the figure. His average speed for the whole time interval is equal to...
  15. T

    SHM Amplitude vs. Frequency graph

    Homework Statement A metal hangs vertically from one end of a spring. The other end of the spring is tied to a thread that passes over a pulley and is attached to a vibrator, as shown in the figure. The vibrator is now switched on. The frequency of vibration is varied from 0.7f to 1.3f where...
  16. V

    How should I represent a financial market as a graph?

    Hi guys. I am reading several papers about financial market and authors show the possibility to represent this market as a graph in which nodes correspond to traders and edges represent trading relationships. Which programming software could be a powerful tool to write a such code? I am...
  17. A

    Trigonometric graph transformation

    Homework Statement Transform the following equation: X2sin(3x) 1. Stretch vertically by a factor 9 2. Stretch horizontally by a factor 3 3. Shift to the left by a value of 1.2. The attempt at a solution 1. Stretching vertically by a factor 9 gives: 9x2sin(3x) 2. Stretching vertically by...
  18. M

    How to find drag polar equation of Cl vs Cd graph

    Homework Statement I plotted the drag polar graph (Drag coefficient vs. lift coefficient) for an aircraft and are required to find the equation of the drag polar to determine values for [C][/D0] and k, using the graph or any other method. I've plotted the graph which I've included. Homework...
  19. S

    I Working out the equation for coordinates on a graph

    I have a series of data points for X and Y points on a graph. The data is quite random and I am trying to work out a trend line so I can then form an equation for the line. How would I go about working out the equation for the data below. (0, 580) (6.7, 495) (13.4, 445) (18.7, 365) (22.8, 350)...
  20. A

    B Negative deviation in PV vs P graph

    I just wonder that why the negative deviation comes in graph except for hydrogen and helium gas.I am still thinking for the reason and searching for it.So please help me ...
  21. J

    A Find the determinant of the metric on some graph

    Hello there, Suppose $f$ smoothly maps a domain ##U## of ##\mathbb{R}^2## into ##\mathbb{R}^3## by the formula ##f(x,y) = (x,y,F(x,y))##. We know that ##M = f(U)## is a smooth manifold if ##U## is open in ##\mathbb{R}^2##. Now I want to find the determinant of the metric in order to compute the...
  22. aatari

    Velocity from Acceleration-Time Graph

    Hey Guys, I have attempted the solution and have attached the image. Would you guys please have a look and let me know if it is correct. Thank you so much. Homework Statement Using the acceleration-time graph below, sketch the corresponding velocity- time graph. Show your work. Homework...
  23. A

    Finding Second and Third Derivative from Graph

    Homework Statement The problem asks to find g'(2), g''(2), and g'''(4). Homework Equations and attempt at solution[/B] The derivative of g(x) is just the function f(x). So g'(2) = f(2) = -2. I'm not sure how to find g''(2) and g'''(4). I understand that g''(2) is f'(2), but how do I find...
  24. B

    Position vs. time graph and the derivative

    So let's assume an object moves along a straight line relative to some fixed origin. Clearly we can study this motion with the help of a position vs. time graph which shows how the position varies as time goes on. Now, as far as I understand, the slope of this graph at any time t gives the...
  25. aatari

    Velocity-Time Graph: Dog's Position

    Hi Guys, I have attempted the question below and would greatly appreciate if I can get some feedback. A dog's position is recorded in the graph below. Determine the velocity of the dog in all three segments. Sketch the corresponding Velocity-Time Graph. Please See the attached image. Here are...
  26. M

    Show plane curve can be described with graph @ tangent point

    Homework Statement Provide a complete proof that a regular plane curve γ : I → R2 can near each point γ(t0) be written as a graph over the tangent line: more precisely, there exists a smooth real valued map x → f(x) for small x with f(0) = 0 so that x → xT(t0) + f(x)JT(t0) parametrizes γ near...
  27. I

    MHB Parallelogram on graph problem

    Is there a way to do this other than guess and check?
  28. Drakkith

    MATLAB Line Styles in a Graph in MATLAB

    I'm trying to plot 5 periodic functions on the same graph in MATLAB and I can't seem to figure out how to do it correctly. The following code will work, except that I still need to change the line style for each line so that they are easy to tell apart. k = 1; %spring constant w0 =...
  29. Vitani11

    Is it possible to graph a function using its taylor series?

    Homework Statement For example cosh(x) = 1+x2/2!+x4/4!+x6/6!+... Homework EquationsThe Attempt at a Solution So plugging in x=0 you get that coshx = 1 at the origin. The approximate graph for the coshx function up to the second order looks like a 1+x2/2! graph, but what about graphing coshx...
  30. A

    X and Y components of a vector using a graph of speed/time

    Homework Statement A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in the figure, where t = 0 at the instant the ball is struck. The scaling on the vertical axis is set by va= 16 m/s and vb= 29.3 m/s. (a) How far does the golf ball travel...
  31. FritoTaco

    What is the smallest value of δ that satisfies the given graph and equation?

    Homework Statement Use the given graph (see attachment) of f(x) = x^2 to find a number δ (delta) such that if: |x-1|<δ then: |x^2-1|<\dfrac{1}{2}. (Round your answer down to three decimal places.) Homework Equations No equations used. The Attempt at a Solution I need to find the...
  32. M

    -- E/M conceptual question regarding electric potential

    So in a graph where V is a function of x, when the slope is negative what does that mean about the direction of the field along the x axis? What about when the slope is positive?
  33. R

    Calculus III (help sketching graph)

    Homework Statement Sketch the curve with the given vector equation. Indicate with an arrow the direction in with 't' increases r(t)=<t, 2-t, 2t>Homework Equations parametric equation (can't type the equation, too confusing to use the template) The Attempt at a Solution So far, I have <1, -1...
  34. Apurv Zoad

    I Understanding the Amplitude of sin2x

    If we look at the graph of sin2x, well its Time Period is pi, and amplitude is same as that of sinx. But if we expand sin2x as 2sinxcosx, rewriting it as 2cosxsinx. According to the Physics in SHM, Wave Motion, whatever is infront of sinx is called as Amplitude. Now, y = 2cosxsinx = Asinx, then...
  35. P

    Solubility-Pressure graph of Ammonia

    I have searched to find out how the solubility of Ammonia changes with pressure, but haven't been able to find out. Though data about solubility change with temperature is available. One have told me that solubility of Ammonia varies little with pressure. But, I want to be assured about that...
  36. K

    MHB This calculates the equation for a graph based on given points.

    Can i get help with creating an equation for these two graphs above, the exact coordinates of the points are to the left
  37. R

    Speed from a distance vs. time graph

    Homework Statement Homework EquationsThe Attempt at a Solution I know velocity = distance/time and the steepest gradient means the maximum speed, and the gradient is steepest between 1 and 1.5 seconds with the change in distance being around 40cm so velocity = 40cm/0.5 = 80 cm per second...
  38. T

    Algorithm for dB vs time graph for one frequency from FFT?

    I'm doing a physics experiment for school, for which I am measuring the reverb time for specific frequencies in a room. What I did was record a 1000 Hz sound, and some time after it, and looked at its FFT on Audacity to see the intensity of just 1000 Hz at a given time. Manually, I can do this...
  39. L

    Position vs time graph simple harmonic motion phase constant

    Homework Statement http://imgur.com/a/FDfAp What is the phase constant? Homework Equations x(t) = A*cos(ωt+Φ) The Attempt at a Solution If I'm not mistaken at t = 0 the graph starts at half the amplitude or 5. Also the amplitude of this graph is 10, and at t = 0 angular velocity is also 0. 5...
  40. A

    How to find maximum force on a velocity vs time graph

    The velocity versus time graph is the following: http://imgur.com/kyebx8H As the title asks, how would you find the maximum force on a velocity vs time graph given nothing but the graph and the mass of the object in question. My reasoning was that since f = ma and m is never changing, that...
  41. Dtriction

    I Can this method be used to prove the Collatz Conjecture?

    There is a graph showing n on its x-axis and its total stopping time on its y axis. From here we can see that the points on the graph are not random at all; they have some kind of geometric pattern that is due to the 3x+1 in the odd case and x/2 in the even case. I have seen many attempts to...
  42. O

    Finding emf1, R1 & R2 from a graph

    Homework Statement Both batteries in Figure (a) are ideal. Emf 1 of battery 1 has a fixed value, but emf 2 of battery 2 can be varied between 10.0 V and 100.0 V. The plots in Figure (b) give the currents through the two batteries as a function of 2. The vertical scale is set by is = 0.48 A. You...
  43. D

    Finding height dropped from Force vs. Time graph

    Homework Statement A pumpkin was dropped from a balcony of a skyscraper. The pumpkin happened to land on a sidewalk force sensor and the below data was collected. The pumpkin weighs 2.7kg. a) From what height was the pumpkin dropped? b) From what floor of the skyscraper was the...
  44. pac0master

    B Need help setting up a custom Graph

    Hey folks, I recently made a little equation and I would like to know if there's any way to plot it on a 2D graph. Problem is, there's multiple variables. so if anyone here can help me out that would be appreciated. Here's my formulas: S2 = (S1-(S1/10))/2x x= T2/(S1/20) T2= T1-(S1/10) S1 is...
  45. B

    A Drawing Graphs with f(x): A Beginner's Guide

    How do I make a function that can draw this same graph ? Also, if i want to increase the frequency of the function, how do i do that ? so I am thinking f(x) = sin(x) for -1<= f(x) =0.5; f(x) = e^(x)/10 for f(x)= <=1 ; f(x) = cos(x) for f(x) >=0.5 f(x) = -cos(x) um... i do not think this...
  46. J

    Rocket Efficiency: Why Use Multistage Rockets?

    Homework Statement Show why it is advantageous to use multistage rockets Homework Equations - 3. The Attempt at a Solution [/B] Hello there I have to show why using multi stage rockets are an advantage, i have done som calculations for a 2. stage rocket and a singel stage, with the same...
  47. R

    Constructing a graph of WiFi strength

    I have way too much time to spare, so I came up with this fun little project. What i want to do is use my phone or laptop to incrementally collect data on WiFi strength at my location at that time, using GPS (longitude and latitude), and once I have enough data, (I'm fine if it takes like...
  48. E

    Understanding GDP Graphs: Key Considerations and Calculating Average Growth

    Is reading a GDP graph the same as any other graphs? For example, given a certain GDP growth over a certain period of time, the average growth can be calculated as taking the sum of all values and then dividing the sum by the number of data points. Are there also crucial points to consider...
  49. Clara Chung

    Question about power with reference of a graph

    1. Homework Statement As shown Homework Equations The answer is A. The Attempt at a Solution Resistance of X = 200^2 / 100 = 400ohm Resistance of Y= 200^2 / 60 = 667 ohm Voltage supply to X= 200 (400)/(400+667) =75V Voltage supply to Y= 200(667)/(400+667)= 125V From the graph ,put 75 V, I get...
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