Graphs Definition and 655 Threads

Homework Statement The figure below shows the speed of a person's body as he does a chin-up. Assume the motion is vertical and the mass of the person's body is 72.7 kg. Determine the force exerted by the chin-up bar on his body at the following times. My answers: Homework Equations F = ma...

Homework Statement The screenshots of the graphs are attached. The first graph is a velocity graph of a basketball with respect to time, and it is assumed that it has been launched at an angle of 45 degrees and an initial velocity of 10 m/s. Due to air resistance, which I was able to include...

Homework Statement (1) Name the waveform(s) that represent a periodical current flow. (2) Name the waveform(s) that represent a direct current. (3) Name the waveform(s) that represent a non-periodical alternating current. (4) Name the waveform(s) that represent a current with a non-positive...

One of my homework questions said "Explain how to obtain f(x)=-(3+x)^2+1 from the graph of y=x^2." I know somehow you need to move the graph right 3, reflect about the x-axis, and move up one, but I don't know how to factor and manipulate the equation to show this.

Please see the attached image. To my understanding, there are two ways to graph a trigonometric function. One is in the Cartesian Coordinate Plane where we have the values (x,y). The other is in the Polar Coordinate system where we have the values (r,θ). In regards to the image that I've...

Homework Statement Consider ##u\left(x\right)=2\left[\frac{-x}{4}\right]## (a) Find the length of the individual line segments of the function, (b) Find the positive vertical separation between line segments. Homework Equations The output of Greatest Integer Functions are always integers. The...

Ok so I don't know what is wrong with me, but when it comes to graphs I often get x and y mixed up and the whole thing becomes very confusing. I had this question plot a graph using y = 2/3x The answer is: if x = 3 y = (2/3 * 3) = 2 x = 3, y = 2 and these are integers which can be plotted...

I am trying to graph some functions but I am not sure about if it is possible using C/C++ I use some numerical metods trying to interpolate data of much complex functions and get the graph (for example the Riemman Dseta function). But I am not even sure If there does exist one specific...

I can see intuitively that each complete graph ##K_n## is a subgraph of complete graph ##K_m## when ##m \ge n##. What would a rigorous proof consist of? This is just out of curiosity.

http://oeis.org/A000088 This is a list that gives the number of simple graphs on n unlabeled vertices. Could someone conversant in graph theory explain why the number of simple graphs on 4 unlabeled vertices, which is 11, is the only one that seems to be odd (nontrivially), while the rest seem...

[SOLVED] Okay so I have an assignment to do with only 1 question left incomplete because we have not covered this section yet, non the less it is due soon and I can't find any helpful resources on how to do this question. I know it has something to do with graphs but I'm still lost. So if...

Homework Statement Alright, this is a Lab Exercise, so it's light on an actual introduction and data, but I'll do my best to put into words the whole thing. The gist of it is that we have a Vat with water, a millimetre paper at the bottom, and we put two Equipotential surfaces inside. We charge...

Hi all! Wanted to know if this is along the right lines, or if I'm missing anything... Any help is greatly appreciated :) 1. Homework Statement Explain the connection between a graph of potential difference versus current, and Ohm’s law. Homework Equations slope = rise/run V=IR R=V/I The...

Hi everyone. I just have a very quick question regarding position time graphs and velocity time graphs for a pendulum. As we know, at the maximum displacement, the acceleration is at its maximum and the velocity is zero, and vice versa when the displacement is zero. When we put this...

So the slope is of course a ratio of the change in y-coordinates to the change in x-coordinates. This is easy to see with a linear equation. I just came across a cool math simulator ( https://phet.colorado.edu/sims/equation-grapher/equation-grapher_en.html), and I left the first value (ax^2)...

Homework Statement Determining which graphs technically use gradients and which do not. This is not a homework question but will help me with it so I put it here. My instructor said you have to be careful whether or not to call what you are calculating from the graph as the "gradient" or not...

Homework Statement Solve the system of equations: { (1/2)x-y=3 and x=6+2y Homework Equations NA The Attempt at a Solution The solution is 3=3, which is an identity, which means that there is an infinite amount of solutions to the system. Here's where my question lies (asked my teacher but...

I have created a make-shift transformer using a circular core and some wire: It is quite basic, but I have some questions about the currents induced when one side of this transformer has a 220 V AC current passed through it. I have an oscilloscope from which I have the graph: The perfect...

I have done an experiment where I vary the levels of water in a wineglass and record the frequencies it produces which differ depending on the height of the water. Below you see 1 equation, apparently I can use this equation to mathematically prove my results from my experiment, (this equation...

Homework Statement An experiment that involved swinging a mass in a circle was conducted. After graphing both sets of data, I obtained linear graphs of which I calculated the slopes for. I got a slope of 3.5 for the force vs frequency^2 graph and a slope of 0.73 for the radius vs period^2...

Homework Statement I have attached the homework question as it is on a graph so easier to see as attachment. I am stuck with last last part about sketching onto the graph the actual correct motion of the parachute Homework Equations None The Attempt at a Solution I have attached my attempt...

Please could someone explain, pretty simply, what a parameter and also its relation to graphs? And if possible give a couple of examples. I have trawled through the internet and can't find anything which I understand. Thank you very much.

Homework Statement Only 15 Homework Equations First derivative=maxima/minima/vertical tangent/rising/falling Second derivative=points of inflection/concave upward-downward The Attempt at a Solution $$x=y^3+3y^2+3y+2~\rightarrow~1=3(y^2+2y+1)y'$$ $$y'=\frac{1}{3(y+1)^2}>0,~y\neq...

Hello sir, I'm a school going student, and this is my first post here. I'm having problems drawing v vs x graphs. I'm unable to understand what should be my general approach while trying to draw v-x graphs. (I've no problem drawing x-t, v-t, or a-t graphs). Let's say, for example, a ball is...

Homework Statement An experiment was conducted to determine the relationship between metre-stick projection from a table (L) on the vertical depression of the free end (y). Using the collected data, graphs had to be plotted until a linear relation was found, and the equation of the line had to...

Homework Statement [/B] Given a a log-log graph with 8 lines, you must determine the equation of each line in its original relationship. The slope of the graph (m) gives the power of the original relationship. Examples: if m = 2, 3; then y ∝ x^2, x^3, etc. if m = -1, -2; then y ∝ 1/x...

Hello, I'm studying for a test this Friday and I have two problems that have completely stumped me. I'm not sure how to solve either. Any help would be greatly appreciated.

Homework Statement Homework EquationsThe Attempt at a Solution I have been trying to rearrange the equation to look something like ln(y) = Aln(x) but to no avail. Something tells me that that's not necessarily the right way to approach the problem, could anyone point out what I should be...

Hallo I will start my question by describing a particular graph , 1. There are a finite , fixed, number of nodes. labeled {A,B...Z} (so for this example there are 24 nodes.) 2. Each node consists of another graph (tree) with exactly 3 nodes in 3 depths. That means we have a graph where...

<Moderator's note: Moved from a technical forum and thus no template.> A horizontal force of 80 N acts on a mass of 6 kg resting on a horizontal surface. The mass is initially at rest and covers a distance of 5 m in 0.92 s under the action of the force. Assuming there are no energy losses due...

Homework Statement In photoelectric effect I-V graphs, for the same intensity but with different light frequencies (f2>f1), the I-V graph has the same max photocurrent but |Vs2| > |Vs1|. If we concentrate between the cutoff and the saturation regions of the I-V graph, we can see that at any...

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.

Homework Statement The first graph shows y vs t for a point at x=0 m. The second shows y vs x for the string at a time of 2 s. I have calculated the amplitude of the oscillation to be 1.0m I have calculated the angular frequency of the oscillation to be 2.90 rad/s I have calculated the...

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...

Homework Statement The digitial signal is transmitted and then converted to an analogue form by the DAC. Using data from Fig. 12.2, draw on the axes of Fig.12.3, the output level of the transmitted analogue signal for time zero to time 1.2 ms. Homework Equations Four bit digital numbers...

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...

Homework Statement Homework Equations $$1^2+2^2+3^2+...+n^2=\frac{n(n+1)(2n+1)}{6}$$ The Attempt at a Solution $$S_n=2\{[f_1(x_1)-f_2(x_1)]\Delta x+[f_1(x_2)-f_2(x_2)]\Delta x+...+[f_1(x_{n-1})-f_2(x_{n-1})]\Delta x\}$$ $$S_n=2\{[18-\Delta x^2-\Delta x^2]+[18-(2\Delta x)^2-(2\Delta...

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...

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...

Is drawing of graphs of solids of revolutions important topic of mathematics? This makes me remerber conic sections topic. Conic sections topic belongs to algebra and drawing their graphs is important. So where does solids of revolutions belong to? I know calculation of their volumes belongs to...

Hello, If I have an x^2 graph that goes from 0 to a point a. Is there a general solution to where the area of the left side is equal to the area of the right?

1. G is chordal iff G has a Perfect Elimination Scheme/Ordering (PES) 2. G is chordal iff every induced subgraph H of G has a simplicial vertex in H. I want to show directly (ie, don't use the above) to show that G has a PES iff every induced subgraph H of G has a simplicial vertex. (->)...

Homework Statement A small coil of wire is situated in a non-uniform magnetic field. The coil consists of 40 turns of wire and moves with a constant speed in a straight line. The coil has displacement x from a fixed point P. The variation with x of the magnetic flux in the coil is shown in the...

"How it can be explained mathematically by dP/dV = -gammaP/V

Homework Statement A particle has the potential energy shown in the figure. (Figure 1) What is the x-component of the force on the particle at x =5, 15, 25, and 35 cm? I'm stuck on finding the Fx at 25 & 35 cm.Homework Equations F = -du/dx 100 N = 1J/cm The Attempt at a Solution Slope...

Homework Statement How do the values of the following functions move in the complex plane when t (a positive real number) goes to positive infinity? y=t^2 y=1+i*t^2[/B] y=(2+3*i)/t The Attempt at a Solution I thought: y=t^2 - along a part of a line that does not pass through the...

The graphs of intensity versus wavelength of blackbody radiation and of number of molecules versus speed in a gas look very similar to me. Is this just a coincidence? They seem like quite different phenomena.

Homework Statement We did a lab experiment for isentropic efficiency of a compressor and was asked to plot the following graphs, change in stagnation pressure across the compressor (∆p0) vs air mass flow rate, and isentropic efficiency vs air mass flow rate. I have plotted the graphs but not...

Homework Statement Number 6: For this problem I'm changing the wave speed to 3.0 m/s instead of 1 m/s because that's what our teacher instructed us to do. Homework Equations None that I know of The Attempt at a Solution I'm having the hardest time making connections between the graphs and...

I would really appreciate some clarification about how to draw graphs showing changing flux and induced EMF. I understand that there needs to be a 90 degree phase difference as the EMF is a maximum when the flux has the greatest rate of change. However, our exam board says that the EMF can be...