Graph Definition and 999 Threads

I have been asked to finding the area of the graph of the function F(x)=(3x-\pi)\cos\frac{1}{2}x between x=-\pi and x=\pi using integration by parts to integrate the function I get \int 2(3x-\pi)(\sin\frac{1}{2}\pi)+12\cos\frac{x}{2} when I work out the integral for x=\pi and x =-\pi I get...

Mod note:Combined two posts into one. 1. Homework Statement f(g,h) such that g is a function of x and h is a function of y then how can i plot a graph in exccel Homework EquationsThe Attempt at a Solution

Hey! :o Let $G$ be a graph. A clique in $G$ is a subgraph in which every two nodes are connected by an edge. An anti-clique, also called an independent set, is a subgraph in which every two nodes are not connected by an edge. Show that every graph with $n$ nodes contains either a clique or an...

Hello, I am a student interested in pure mathematics, and am considering giving this book a try. I was wondering what you all think if this book as I have it in my possession. Is it good? If not, is there any very rigorous (I can handle Rudin Analysis rigor) discrete textbook, like one that...

Hi! I'm having troubles drawing a velocity-time graph from a position-time graph. I know parabolic p-t graphs have diagonal lines for their v-t graphs, but I'm not sure why. I also know tangents are important to use, but again, I don't understand why. Any clarification as to why this happens (in...

Homework Statement The Attempt at a Solution Looks like the graph would be a parabola? And since it's a>0 it would be upward and therefore a minimum. Not sure what that would be. Unsure how to solve the rest[/B]

Hey, I'm looking for any books that contain anything on RNA and Graph Theory, was hoping if anyone has any recommendations or can at least point me in the right direction. I've already read through the section on this topic in Goodaire and Parmenter's 'Discrete Mathematics with Graph Theory'...

Homework Statement I have a disk that can rotate about an axis at a radial distance h from the center of the disk. I am given a graph showing the the rotational inertia I of the disk as a function of the distance h from the center of the disk out to the edge of the disk. From the graph (see...

During which segment(s) is the object speeding up? During which segment(s) is the object slowing down?I understand that the velocity is constant at A D E, and that it is moving in the positive right direction at segments A and B, but I'm confused at this part. I originally thought that it is...

Homework Statement Homework Equations The Attempt at a SolutionNot sure what to do here. I was thinking maybe the y – y1 = m(x – x1)? I am having trouble understanding this question. I know what piecewise functions are but filling this in is proving difficult.

Homework Statement http://i.imgur.com/u8vUv5a.jpg Find the phase constant. Homework Equations x(t)=Acos(ωt + Φ) v(t)=-Aωsin(ωt + Φ) Vmax = ωA ω=2π/T The Attempt at a Solution ω = 2π/12 = 0.5236 A = 60/0.5236 = 114.59 cm v(0) = -30 = -114.59(0.5236)sinΦ 0.5 = sinΦ Φ = π/6 and 5π/6. Which...

Homework Statement I am not sure how to graph the function f(x)=(x+p)+q Homework EquationsThe Attempt at a Solution When x=0 y=p+q if y=0 x=-q-p ? what shape would this give??[/B]

Homework Statement http://i.imgur.com/TZcJkjH.jpg Find the phase constant Homework Equations x(t) = Acos(wt + Φ) x(t) = Asin(wt + Φ) w = 2pi/T The Attempt at a Solution I see A = 20cm. T = 4s. f = 1/4 = 0.25Hz. w = 2pi/4 = 1.57Hz. 10 = 20cosΦ 0.5 = cosΦ Φ = π/3, 5.24?

Hello everyone, I have generated a graph in one quadrant and i need to generate the reflexion of it in the other quadrants. I need to generate a graph like the one found in (http://arxiv.org/pdf/astro-ph/0103143v1.pdf) figure 2. The figure below show the graph i have i one quadrant...

1. Homework Statement The switch is closed. Graph the current in R_{1} 2. Homework Equations V = IR CV = Q 3. The Attempt at a Solution 1) R_{0} can be ignored a) The resistor simply reduces the voltage before any current can be split. b) We're justified, as a result, in...

Homework Statement #1 Does there exist a graph that has m times more edges than vertices? #2 How to calculate the number of possible graphs given the number of vertices and edges? Connected graphs, disconnected graphs. Homework EquationsThe Attempt at a Solution #1We know that a complete graph...

I don't get it, why is the graph always linear? Shouldn't its slope be zero when the ball is at the top and stops there for a moment? The way it is "explained" is that it's at the top for instantaneous moment. Okay, but, if let's say, ball was going upward for a 5 sec, then stopped for 1 second...

Assume a spring with a mass attached is oscillating. Can i find spring constant from force/time and position/time graph using mgh=1/2kx^2? The force in force/time graph is collected from force meter attached at the top of the spring. The positin in position/time graph is the distance of the mass...

Hello! (Wave) How could we find an example of a directed graph with edges of negative weight for which the Dijkstra's algorithm gives wrong results? (Thinking)

I'm aware that in order to find the hole in a graph, you need to factor both the numerator and denominator, and look for terms that cancel out. However, is it merely just looking for a term that cancels out, or is it more specifically a term that cancels out and makes the numerator equal to...

a) Find the roots of the equation x^{2}+5x-6 b) Sketch the graph of the function x^{2}+5x-6 labeling the points at which the graph crosses the axes and the co-ordinates of the maximum and minimum of the curve c) Find the equation of the tangent at the point where x=2 on the curve of...

Homework Statement The attached graph shows the relationship between time and voltage for three resistors. A capacitor is discharging current through three "separate" resistors. How resistors might be positioned in a circuit to give rise to the graphs.Homework Equations V = IR CR = $$\uptau$$...

Homework Statement I need to plot a graph showing the deflection of the beam across its length giving a value of x at every 1m. The youngs modulus for the beam is 210 GNm^-2 and the moment of inertia is 54 X 10^-7 m^4 Homework Equations Really unsure where to start on this one. I have found...

3x+4y\le12 3x+y\ge3 y\ge-1 I understand the how to plot these on a graph, just not sure how to solve these inequalities! Do you have to solve for x or y?

Homework Statement Prove that all vertices of a complete graph Kn have deg(v) = (n-1) Homework Equations ∑ deg(v) = 2|E| |E| = ½(n)(n-1) for Kn The Attempt at a Solution I may have over thought this but this was my initial path at a formal proof. Using the degree sum formula above and the...

Hi, I'm stuck on a problem in functional analysis. Let x be a sequence on the Natural nummers such that for any square summable sequence y, the product sequence xy is absolutely summable. Then x is square summable. Hint : Use the Closed graph theorem. If I can prove the map Tx : y -> xy had a...

I noticed that for cyclic graphs the number of edges is equal to the number of verticies. Is there a proof out there for this statement? Just curious... I was able to find the proof of the formula for finding the number of edges for complete graphs, I couldn't find anything related to the above.

Homework Statement Consider a gaussian graph let 5 quares on y -axis represent 1units Homework Equations is it correct for me to say that the average value of the quantity on the y-axis is given by y_av = (y_min + y_max) / 2 where y_min is smallest value of y in the graph = 0 y_max is the...

So as I was beginning to read through my Graph Theory textbook I had a burning question I wanted to get some perspective on. So a Graph is defined as an object containing a Vertex Set and an Edge Set, v = # of elements in the vertex set and e = # of elements in the Edge Set (if any) Would...

Homework Statement We have the circuit in the figure.I have to find the output graphically if the input is Vi=15sinwt. Homework Equations This type of exercise doesn't have any equations The Attempt at a Solution Heres the circuit http://i.imgur.com/ivixWzH.jpg For Vi<= -10 the diode is ON...

Why Graphing Tools doesn't represent hole in a graph of a function. A Hole at a point in a graph is point where function is not defined.Suppose there is a function ##\frac{x}{\root{x-1}-1}## Its should be like this But online tools and even my android graphing tool app shows graph like this...

Homework Statement [/B] The problem is stated in dutch and dutch is my first language. I will try to translate it all as accurately as possible. Imagine the following two functions: f(x)=x^3-4x^2 and g(x)=2x^2. Algebraically calculate the area in between the two graphs. Homework Equations...

I want to ask the graph of gravitational force against r and gravitational potential energy against r. First, about gravitational force against r The shape of the graph is straight line from origin until the surface of the sphere and then curve (decreasing). I understand about the decreasing...

Homework Statement I am given a linear graph that is Absorbance vs. Concentration. How do I find epsilon in the beer's law equation? Homework Equations Beer's law: A = Epsilon x L x c The Attempt at a Solution I just need a general explanation. Thanks.

Hello... how to write the function of depth first search? Thank you.

Regarding the question here, https://www.physicsforums.com/threads/force-vs-time-graph-impulse.665936/ Would it be correct to say that the area under the plotted line equals momentum if the initial momentum were zero? (This is NOT a homework question. I am posting here since this was the...

I need help! Could you please double checking my work: calculating a Power information from data I am collecting. I have been Googling and wiki'ing for weeks now and I think I have it right but I need someone to confirm or correct what i have done.. The graph data comes from and Optical Rotary...

Homework Statement Homework Equations v(x)t= -wAsin(w+o) The Attempt at a Solution -5(10)sin(0)= 0 D is this the right procedure?

Homework Statement Homework Equations v= d/t The Attempt at a Solution v= T/A It is decreasing I think E

Homework Statement An object whose moment of inertia is 3.00kgm2experiences the torque shown in the figure (Figure 1) . What is the object's angular velocity at 2.80s ? Assume it starts from rest. http://session.masteringphysics.com/problemAsset/1073771/4/knight_Figure_13_21.jpg Homework...

Please, can someone give me some help? The question is: Draw a graph of current (y-axis) against time (x-axis) to illustrate exactly what is meant by an alternating current of 50 Hz and peak value 12 V? My attempt:

Homework Statement Ok guys, its been a while since I have done this one so I don't even know where to begin. Here is the problem I have to complete: The power (in watts) from an engine is represented by the equation below, where t is the time in seconds. P = 30t^2.2 + 3t 1) Draw a table...

The diameter of the shaft is 20 mm, and the circumferencial speed is 1,5 m/s, which i calculated doing velocity = angular speed * shaft radius The shaft rotates at 1370 rpm. The graph should give the permissible speeds for the shaft to rotate at that allow the use of the simmerring made of...

I'm not really sure where this thread belongs... Do you know any (free) program that can allow to build bands (instead of just line curves) to take into consideration the errors of a graph? eg if I want to draw: y= bx + (c \pm \delta c) to get something like the yellow band in this (of course...

Check out this graph of remainders of numbers 1-200 when divided by numbers 1-9 and let me know what you think.

Homework Statement The moment of inertia (I) of the bicycle wheel about the axle, can be obtained graphically using the equation: rm(g-a) = I(a/r)+Frictional Torque. Explain how to form two variables so that, I and Frictional Torque can be obtained from a linear graph. Identify the constants...

Homework Statement Let A be a set of critical points of the function f(x). Let B be a set of roots of the equation f''(x)=0. Let C be a set of points where f''(x) does not exist. It follows that B∪C=D is a set of potential inflection points of f(x). Q 1: Can there exist any inflection points...

Homework Statement Suppose the function is y = a cot k(x−b) Then (give exact answers; you can type pi for π): a = b = k = Suppose the function is y = a tan k(x−b), where b > 0. Then: a = b = k = The Attempt at a Solution Then (give exact answers; you can type pi for π): a = 4...

Homework Statement I have been asked to show a graphical, more accurate method to calculate power used when running up a flight of stairs. The method I have used previously is measuring the height of the stairs, recording my weight in Newtons, timing how long it takes to run from the bottom to...

Homework Statement f(x)=20+25*sin(0.85x) x = number of hours from start. f(x) = temperature. For how long is the temperature negative (under 0) during the first 10 hours? We haven't learned how to derive/integrate trig equations so that is out of the question. Homework EquationsThe Attempt at...