Graph Definition and 998 Threads

Calculate the area of the region bounded by the graph of the function y = 8 – 2x - x^2 and the x-axis Y = 8 - 2- x^2 0 = 8 – 2 – x^2 (-x – 4)(x – 2) - x – 4 = 0 and x – 2 = 0 -x = 4 x = 2 X = - 4 Do I do this? Y = 8 -2x -x^2 = 8x - (2x^2)/2 - x^3/3 = 8 -...

Hi to everyone, I'm trying to plot a 3D graph on MATLAB but I do not know how. The function that I want to plot is: y=fminbnd(@(x) wei(x,shape,scale,tw,tf),x0,x1). I would like to plot the minimization of the function wei (y) in function of the shape and the scale. Wei is a function that I...

Homework Statement The two oscillators each have the same mass. Use Fig. 4.1 to determine (i) the phase difference between the two oscillators (picture attached) Homework Equations Subtracting to find the horizontal shift The Attempt at a Solution I found the two points where both graphs...

Calculate the velocity of the brick at the bottom of the inclined plane. State the assumption you made for your calculation in part above. & Sketch the displacement-time graph relevant to the movement of the brick along the smooth gutter. (Assume that the brick started to move from the state...

Homework Statement An 8kg object is moving in the positive direction of an x axis. When it passes through x=0, a constant force directed along the axis begins to act on it. The figure gives it's kinetic energy K versus position z as it moves from x=00 to x=5.0 ; K(initial)= 30 . The forces...

Dear PF Forum, I'd like to study integral. But I just realize that I'm lack of basic integral. Can I ask here? Let y=x2 Here is the graph. So, 1. dx is the distance between the red vertical lines? But it's very, very, very small distance. 2. f(x) * dx is the yellow area? 3. ##\int_0^2...

I'm confused about how the predictions of this graph were formed. I have this formula: But the change in frequency per second is about : 2x 10^-12 which has a problem because when you multiply this by 10 years you don't even get a change of frequency of 1/1000 of a second and in the graph it...

Is there any method to extract data from a graph in JPEG/TIFF format, using simple software such as MATLAB? I have a graph as shown below: I only have this picture but no raw data and I want to plot the black curve in this graph. How to get approximate numerical data of the x and y axis...

Hi, I was asked by my senior to find out what this graph is and how to use it. No details were given as to where they found it. I know already that this is used to compare CSTRs and PFRs performance for first order reactions, but I can't deduce what the expressions Dd/(vxL) and kL/vx are for...

Homework Statement An object of 5 kg is acted on by a force and moved from 0.5 to 2.0m. How much work does the force do? As the object moved, friction with a coefficient of 0.2 also acted upon it. What is its final speed if it started at rest? Homework EquationsThe Attempt at a Solution So...

Homework Statement Show that the tangent to ##x^2-y^2=1## at points ##x_1=\cosh (u)## and ##y_1=\sinh(u)## cuts the x-axis at ##{\rm sech(u)}## and the y-axis at ##{\rm -csch(u)}##. Homework Equations Hyperbolic sine: ##\sinh (u)=\frac{1}{2}(e^u-e^{-u})## Hyperbolic...

Show that the tangent to ##x^2-y^2=1## at points ##x_1=\cosh (u)## and ##y_1=\sinh(u)## cuts the x-axis at ##{\rm sech(u)}## and the y-axis at ##{\rm -csch(u)}##. $$2x-2yy'=0~\rightarrow~\frac{x}{y}=y'=\frac{\cosh (u)}{\sinh (u)}=\frac{e^u+e^{-u}}{e^u-e^{-u}}$$ The equation...

Homework Statement I gt VA and VB = 85 N and 65 N respectively ... but , my bending moment diagram doesn't return to 0 ... Is there something wrong with the question ? Homework EquationsThe Attempt at a Solution I found that if i didnt include both the moment of 75(0.05) = 3.75Nm , the...

Homework Statement A conservative force F(x) acts on a 2.0 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is graphed in the figure. When the particle is at x = 2.0 m, its velocity is –1.2 m/s. (a) What isF(x) at this position, including sign? Between what...

Homework Statement I am currently part way through a laboratory experiment that utilises basic crystallography to ultimately calculate lattice constants and structure factors for NaCl (we receive formal training in the next academic year via full treatment of von Laue, Bragg diffraction etc). I...

Homework Statement Hi, I don't even know where to begin with this type of graph. It does say that the graph should be a straight line. This is for one of my questions for my lab that I am completing. This is the link of mytable with info...

Homework Statement A square coil of side a and consisting of N turns is free to rotate about a vertical axis through the mid-points of two opposite sides. It is situated in a uniform horizontal magnetic field of flux density B so that the plane of the coil makes an angle θ with the field. Draw...

Hello every one. Today's question is: if I'm writte a graph using logarithm scale, must i use the dimensions of the graph "logarithmized" too ? i.e : A Distance x Force graph must have its dimensions as log (m) x log (N) ? or it is just valid for the module ? Thanks for the tips

In the paper Advanced LIGO they published some figures with chances. I would like to know how they know that there's a 90% chance for something to be in a specific value. https://dcc.ligo.org/public/0122/P1500218/014/PhysRevLett.116.241102.pdf paper here also have some other questions: What...

[FONT=Arial Black]Problem Plot the above given information in a Distance time graph. [FONT=Arial Black]Where do I need help Hoping my graph is correct Show that the speed in the final 6 seconds is twice the speed in first 6 seconds But I'm having trouble here , I know $...

I have a question to anyone experienced with graphs and topology. The question is relevant for this topic: https://www.physicsforums.com/threads/a-graph-based-model-of-physics-without-dimensions.887694/ Is it possible to construct an arbitrarily large graph (a set of vertices, a set of edges)...

If I were to draw a displacement time graph of an arm rotating around it's origin at a constant radius meaning it is a constant displacement from the origin. Meaning the graph looks the same as one of an item that is not moving,how would you draw the displacement time graph of something moving...

If the system of inequalities y ≥ 2x + 1 and y> x/2-1 is graphed in the xy-plane above, which quadrant contains no solutions to the system? A) Quadrant II B) Quadrant III C) Quadrant IV D) There are solutions in all four quadrants. I thing the answer is D . But book says that it is C. I...

Homework Statement Using experimental data, I am trying to solve the following equation for ##T_2## $$M(t)=M_0 e^{-t/T_2}. \tag{1}$$ Here ##M_0## denotes the initial value. There were 8 data points collected for ##t## and ##M(t).## Here is the resulting graph: The data and equation (1)...

Homework Statement This HW is a continuation of the previous lab work we did involving, rings,spring scales and weights. The three hypothesis the groups came to were: 1.The ring will move in the direction of the interaction and will slow down. 2.The ring will move in the direction of the...

Homework Statement Consider the system shown to the right. Particles 1 and 2 are fixed in place while particle three is placed at the location shown and released. Let’s look at the mechanics of q3, which has a mass of 3.00 X 10-5 kg. What will be the net force on q3?What will be q3’s...

Homework Statement Equation of ellipsoid is: ##\frac{x^2}{4} + \frac{y^2}{9} + z^2 = 1## First part of the question, they asked to graph the equation. I have a question about this, I know that ##-1\leq z \leq 1##. So what happens when the constant 1 gets smaller after minusing some value of...

Homework Statement This problem concerns the surface determined by the graph of the equation ##x^2 + xy -xz = 2## a) Find a function ##F(x,y,z)## of three variables so that this surface may be considered to be a level set of F. b) Find a function ##f(x,y)## of two variables so that this...

Explain why the graph of the function g (x) = x^3 - 2x + 1 intersects the line y = x in each of the intervals (-2, -1), (0, 1) and (1, 2). i hope someone can help me with this. To be honest i do not even know where to start. i sketched g(x) and y=x and i don't see them intersect in the...

I'm familiar with galactic rotational curves and there are plenty of graphs depicting such curves, but I'm interested in the rotation curves of entire galactic clusters at the moment and I'm not too good with sifting through what shows up in the search engines. (not a physicist, just a...

I need to create a non linear function from a list of points. I tried creating a 3rd order polynomial trendline on excel but it was a very poor fit. Can anyone give me tips/advice on how to create a function that best fits the following data? Here's what the graph looks like: Here are the...

Homework Statement For my lab class my professor wants us to graph the theoretical amplitude of the output from a low-pass filter vs. frequency. I have the resistance and capacitance that I chose for the RC circuit and a V(in). Is there an equation that I should be able to use to relate these...

Homework Statement A rocket-powered hockey puck move along a horizontal friction-less table. The figure (link posted below) shows the graphs of vx and vy, the x- and y- components of the puck's velocity. The puck starts at the origin. How far from the origin is the puck at 4 seconds? Here is...

Homework Statement Describe how to use the position vs. time graph to determine the numerical value of the particle's acceleration. Homework Equations None, these are Lab questions after we released a cart on a track on an incline. The Attempt at a Solution I know that you can derive the...

Data A graph in the form of $y=(x-1)^2-6$ Problem Write down the equation of the function corresponding to the graph obtained when the above graph is translated 1 unit in the negative direction of the $x$ axis Workings: - Where do I need help In writing the equation of the funtion.

Does a limit exist on a graph at (-1,0) if the point is solid, and has a right sided limit, but there is nothing left of the point? I understand that if the left sided limit and the right sided limit are different then it doesn't exist, but on my graph it shows a line coming from the right...

The equation is x-|x|=y-|y| and I need to make a graph for it. So I thought I should solve it by breaking it down to 4 different equations, which would be - x - x = y - y => 0=0 x - x = y + y => 0=2y => y = 0 x + x = y - y => 2x=0 => x = 0 x + x = y + y => 2x=2y => x = y But this isn't...

Homework Statement Homework Equations I know that potential from a point charge equals kq/r and that potential difference equals - (integral of)(E dot dl) The Attempt at a SolutionI tried to approach this problem using the point charge approach by comparing the relative values of kq/r for...

1.) Two volumes of an encyclopedia stand side by side, in order, on a shelf. A bookworm starts at page i of Volume I and bores its way in a straight line to the last page of Volume II. Each cover is 1 mm thick, and the first volume is 2/5 as thick as the second volume. The first volume is 40 mm...

This is not a homework question but a general doubt. Suppose we have a function y = pcosx, where 'p' is an arbitrary constant. So my question is how will the graph of this function change with different values of 'p'? This doubt can also be extended for other functions like y = pex, y = p...

Hi Could anybody guide me to a software that can be used to design a non linear spring from load deflection characteristics. need it for both extension and compression spring. thanks noor

Using a graph of function $y=3-(x-1)^2$ which has got its negative & positive root s-0.8 and 2.7 respectively, Find an approximate value for $\sqrt{3}$. Any suggestions on how to begin? Should I be using the quadratic formula here? Many Thanks :)

Homework Statement For the relationship ##|y| = cos(x-y), -\frac {π} {2} ≤ x ≤ \frac {π} {2}##, use calculus and algebra to determine the total area enclosed between the graph and and the x-axis. Homework Equations Area between points ##a## and ##b## = ##∫_a^b f(x)dx## given that ##f(x)>0##...

I have been given a problem with 4 equations, that need to be matched up to the corresponding image. I have worked the equations already and determined their center, but for the life of me I cannot seem to figure out which graph goes with which equation. The images are not that easy to read...

Homework Statement Homework Equations none The Attempt at a Solution -amplitude is 3 -period is 180° -right 60° -down 1 Rough sketch of graph: I would like to know if the graph looks right, is there any improvements to be made? Thanks :)

Hey! :o We have the following graph: I want to find a minimal vertex cover. I thought that the set $C^\star=\{4,5,6\}$ is a minimal vertx cover. Is this correct? How could we prove it? (Wondering) Then I want to find a vertex cover using the following approximation algorithm C <- 0 while...

OK, so a LONG time ago I believe I saw a small drawing by Newton which represented the first true drawing of a Cartesian graph with an x and y-axis and "O" at the origin. Now (that I'm old and can't remember what I had for breakfast) I'd like to find it but can't remember where it was. Any help...

As a mere beer drinker, I am handicapped in watching sophisticated dramas when the conversation involves other alcoholic beverages. There's sherry, gin, whiskey, scotch etc. Sometimes I look up the definitions of these things, but since I don't drink them the definitions don't stick in my...

Homework Statement Given connected, directed and weighted (positive weights) graph. Find the shortest cyclic path for each vertex. Cycles have back edges and can also be self loops. 2. The attempt at a solution I need some clarifications for this problem related to implementation in C. After...

Hello all, I recently starting studying graph theory in my free time and have become very interested in the Reconstruction Conjecture. Since I am new on the subject I am not sure where to start my search for additional information/insights/papers on the topic, I thought I would ask here for...