Graph Definition and 998 Threads

Homework Statement Plot a suitable graph, using your x and y data, to find the variables a and b. Homework Equations y = ax + bx^2 The Attempt at a Solution This is clearly a quadratic, the best I can do is to play about with lns and I came out with lny = lnax + lnbx^2 lny = ln(ab.x^3) lny =...

Homework Statement Is the resistance equal to V/I at any point, or is it the gradient at that point? And Why? Homework EquationsThe Attempt at a Solution shouldn't it be the gradient? because it is change in V over change in I? Thanks~

$\tiny{7.t.27}$ $\textsf{Write an equation for a sinusoidal graph with the following properties:}\\$ $$A=-3, \textsf{Period}=\frac{2\pi}{3}, \textsf{Phase Shift}=-\frac{\pi}{4}$$ \begin{align*}\displaystyle A&=-3\\ T&=\frac{2\pi}{3}=\frac{2\pi}{\omega}\\ \omega&=3\\...

Homework Statement A region of space has a non-uniform electric field that points in the +x-direction and has magnitude as shown in the figure (Figure 1) As a reference point, take the potential at the origin to be -140 V . Calculate the electric potential at x=3.0m. Express your answer to two...

Homework Statement ##x^3 - 4x^2 + ax + b## tangent to x-axis at x = 3 Homework EquationsThe Attempt at a Solution if the graph tangent at x = 3, means at x =3, y = 0 my questions is, is at x = 3 the graph's gradient (slope) = 0 ? if yes why? if yes then means dy/dx = 0 ##3x^2 - 8x + a = 0##...

Homework Statement Homework Equations vav = total distance traveled/ total time taken The Attempt at a Solution I have a problem in part c . How am I supposed to solve it? Is there any standard way to solve it?

Hey! I was creating a force vs acceleration graph. acceleration is on the x-axis and force is on the y-axis. I got the slope and it was equal to the mass of the object. However, I got a y-intercept equal to +7.74(positive). What does this represent. Is this the friction or...?

Homework Statement Homework Equations I know that I probably need to use s=vit+1/2at2, however, I'm having trouble properly applying it The Attempt at a Solution I know that part A is 20m/s and then 5m/s. I know this is an easy problem and I'm actually 2 chapters ahead. For some reason, I...

How is this done? My textbook only specifies integrating polar graphs with respect to theta.

How do we use the graph to solve a given inequality. For example, say the graph of y = x^4 - 4x^3 + 6x^2 - 4x + 2 is given. The graph of y crosses the y-axis at one point. It does not touch or cross the x-axis. In what way can the picture, the graph help us solve either of the following...

The complete graph K_n can be expressed as the union of k bipartite graphs iff n≤2^k I would simply like to know how to get 2^k.

the graph of sin inverse (sin x) between the domain of ( -pi/2,pi/2) is y = x. but after it crosses that domain of course the expression won't be the same anymore because sin inverse has its principle value as ( - pi/2, pi/2) due to sin x many to one natured function. now the way these...

Homework Statement How does the gradient of the graph compare to the weight force? The graph is a Mass vs 1/Acceleration graph (y axis = mass, x-axis = Acceleration, It was mentioned to do this.) Homework Equations Explain by referring to the formula for Newton's Second Law. The Attempt at a...

I need recommendations on literature to read. Basically i do not understand these section of Frank Harary's book on graph theory since the definition of what a boundary and a cycle vector is not clearly defined. I have googled literature on it but I am having a tough time finding the right...

Homework Statement I have attached the graph which displays Acceleration vs Mass. It shows the acceleration of objects of different mass that experience the same force. I need to get the magnitude of the force from this. Homework Equations F= ma The Attempt at a Solution I used F=ma for...

Determine if the given point lies on the graph of the equation. (a - 1, a + 1); y = x + 2 Let x = a - 1 Let y = a + 1 y = x + 2 a + 1 = a - 1 + 2 a + 1 = a + 1 Yes, the given point lies on the graph of y = x + 2. Correct?

Determine if the given point lies on the graph of the equation. (a, 4a); y = 4x Solution: Let y = 4a Let x = a y = 4x 4a = 4a Yes, the point (a, 4a) lies on the graph of y = 4x. Correct?

is the velocity at t=0 in acceleration vs time graph must be 0 .please answer my question

Hey guys, so I stumbled across this, and I'm kinda confused on how do they get the sign convention of the value. I've attached the figure and also the soil pressure for better reference. Take for example at C, how do they get the minus and positive sign convention? Thanks a bunch. P/S : Please...

Homework Statement Homework Equations Manson method The Attempt at a Solution I used Manson method. I am not sure this is the best result. can someone use MATLAB or some software to solve this quickly ??

Homework Statement Plot the electric potential ##V(r)## due to a positively charged particle located at the origin of an XY plane. Homework Equations ##V=\frac 1 {4πε_0} \frac q r## The Attempt at a Solution I'm unfamiliar with 3D coordinates at this time, but I like to know how can I plot it...

Homework Statement The question reads: The following graph shows the relationship between voltage V and current I, through a particular electrical component. (The line in graph is straight, not showing properly in the photo) What is the electrical resistance of this component when the...

Homework Statement [/B] Figure 5-55 gives, as a function of time t, the force component Fx that acts on a 3.00 kg ice block that can move only along the x axis. At t = 0, the block is moving in the positive direction of the axis, with a speed of 3.0 m/s.What are its (a) speed and (b) direction...

Homework Statement Hello! Last week I have came here for the help related to this problem. I am creating a new thread to describe the issue more precisely. I will be grateful for your help and explanation. I post the explanation for the book first accompanied by attached pictures, and below I...

1. Homework Statement Determine the total magnitude of angular momentum Ho of the particle about point O. The velocity of the particle is 5.5 m/s.Homework Equations Ho= r x mv The Attempt at a Solution The answer is 43.04. My question is, isn't the graph wrong? If you take the magnitude of the...

Hi! I'm struggling with these two problems: 1. If for whichever two vertices a and b in the graph G there is only one simple path from a to b, then the graph is a tree. Eh... isn't this part of the definition for a tree? I really don't even know where to start with proving this statements...

Hello, I want to prove that a graph represent a manifold, for this i take the opposites edges of a vertex (edge connected between vertex connected to the current vertex) and this subgraph need to be homeomorphic for example to the 1-sphere if i want a 2 manifold. This criterion ensure that my...

Homework Statement Hello! I will be grateful for your help in deciphering the meaning of a paragraph from the book. I honestly don't understand how they got the semi-circle on the xy graph by transferring it from rθ graph. Homework Equations I attach the screen shot from the book. The Attempt...

Hi guys, I need some help on sketching graph complex functions such as ( 2x-⅜+¾e^-2x). Can someone please help me on sketching a graph like the one that I mentioned above. Is there any useful videos or website I can use. And please let me know if there are any good tips to get accurate...

Hi all, I am trying to draw a velocity time graph for a tennis ball during a rally. I am aware that the horizontal component of the velocity/speed will be constant, assuming negligable air resistance, and that the vertical component of the velocity will be a sawtooth shape. However I am unsure...

Here is an explanation about drawing the graphs of linear lines which, I think, incorrect. So would you check it? "If graph, such as y=7x, goes through the origin, it has only one intercept, and other points will be needed for graphing." I think other points will not be needed because lines...

Hello all! I'm just wanting a quick clarification on how finding the area under a polar graph works. Say we have the polar graph of ##r\left(\theta \right)=\frac{\arctan \left(2\theta \right)}{\theta }## as shown below: I know that the area under the graph between ##0## and ##\frac{\pi...

Homework Statement I have given two graphs which i try to show in the picture here. The question into find u'(1) and v'(5) Homework Equations So the relevant equations here are the Product Rule and the Quotient Rule, which I know and is not the big problem here. I think (but imnot sure) the...

I use accelerometer for find an acceleration vs time graph from drop test. how can i find energy loss from acceleration vs time graph thank you

Homework Statement I need to write an Erdos-Renyi random graph, by using the adjacency matrix (or alternatively list) and calculate the fitness of the graph. Definition: G(n, p) is a random graph with n vertices where each possible edge has probability p of existing.Homework Equations The...

Homework Statement Hello! I am at the topic on graphing trigonometric functions. Exercises are rather easy at this point, but I have a problem deciphering how authors of the book choose points for x values. Please, take a look at few examples (including screen shots I attach), and, please...

I learned in the earlier chapters that peaks and valleys of a fxn have points where f'=0 (i marked them with red x). A few chapters later it said if a fxn has 2 roots, then f'=0 (still the 1st graph). So does that mean if the graph of a fxn is like the 2nd graph, the peaks and valleys are not...

Homework Statement I'm having some issues with the following exercise: The graph below represents the marking of a vehicle speedometer in funtion of time. Elaborate the corresponding graphs of acceleration and space traveled in function of time. What is the average acceleration of the vehicle...

First of all, I didn't know where to put this in general math or differential equations. Let's start with the basic, x/0 = α. Where α is every number and decimal number from -∞ to +∞, by rearranging, we get x = 0α, x= 0, therefore only 0/0 = α. Now, we can integrate this with graphs. Take the...

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...

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...

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...

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...

please check the attached photo

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...

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...

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

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...

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...

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...