In order to try and sovle this problem, my idea here was to use an extremal argument, with two equal length maximum paths on a tree. I said that no matter where the two graphs started, they'd end up having to cross paths since if there were two distinct paths with equal lengths the graph would...
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.
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...
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...
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
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
Homework Equations
The 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...
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
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...
Hi,
I'm developing a data structure to represent 3-D meshes for numeric simulation. I want those meshes to be able to handle any type of polyhedron (not only the classic tetra and hexahedron). The best data structure that I could find was one based on half-edges (or darts), such as this one...
Is there a good way to relate the symmetries of the graphs of polynomials to the roots of equations?
There's lots of material on the web about teaching students how to determine if the graph of a function has a symmetry of some sort, but, aside from the task of drawing the graph, I don't find...
Homework Statement
When accelerating upward off a trampoline, how would you depict this on an acceleration-time graph? I know kinematics is the study of motion without a strict regard to the forces that are capable of changing motion, but according to Newton's 2nd law, an object accelerates in...
Homework Statement
So the question is:
Show that a directed multigraph having no isolated vertices has an Euler circuit if and only if the graph is weakly connected and the in degree and out degree of each vertex are equal.
Homework Equations
Euler circuit: A circuit that has all edges of the...
Hello!
I'm completing my IB Physics IA and after collecting my data and plotting the raw graph my graph seems to be a negative parabola.
In order to linearize it I though one had to square the x-axis data; however I simply get the same graph shape.
What am I supposed to do?
Only when I plot the...
Homework Statement
Consider the following parametric curve:
x=5cos^7(t)
y=5sin^7(t)
Write it in cartesian form, giving your answer as an equation of the form F(x,y)=c for some function F and some constant c.
The Attempt at a Solution
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I know that sin^2(t)+cos^2(t) = 1 but I don't...
Homework Statement
Homework Equations
None.
The Attempt at a Solution
Hi everyone. Apparently 5 is the right answer, although I chose D.
Could anyone please weigh in with their thoughts about why 5 is right and my answer is apparently wrong?
Thanks!
Hi, How could I rearrange x=x0e^-lambda t into the form y=mx+c, where y is equal to ln x and x is equal to t?
Thank you in advance
I tried to solve the problem myself, by taking the natural log of both sides, this left me with:
ln x = -lambda t * lnx0
However, I am not sure if this answer is...
Hi guys,
I'm finding it hard to conceptualise the difference between a displacement-distance and displacement-time graphs for transverse waves. Could somebody explain the difference please?
Homework Statement
Three objects can only move along a straight, level path. The graphs below show the po- sition d of each of the objects plotted as a function of time t.
The magnitude of the velocity ∥⃗v∥ of the object increases in which of the cases? (view image/attached file)
Homework...
Consider two functions ##f\left(x, y\right)## and ##g\left(px, qy\right)##, where ##p## and ##q## are known. How can I plot the two functions on the same graph (i.e. the same axes)? The function ##f\left(x, y\right)## will have axes with values ##x## and ##y##, while the other will have axes...
Homework Statement
If f(x)=|x-1/2|-5 determine g(x)=2f(-x+(3/2))
Homework Equations
The Attempt at a Solution
Well, I tried to factor out the k-value in the g(x) formula.
So I was left with:
g(x)=2f(-1)(x-3/2)
Then I multiply f(x) by 2 and am left with:
g(x)=2|x-(1/2)|-10
Then I subtract...
Homework Statement
Homework Equations
E= kq/(r^2), E*dA = Q/e0
The Attempt at a Solution
Typically I understand how to interpret basic graphs such as going for V (potential) vs x graph to Electric field vs x graph by finding the slope of V since E= -grad V...and from their it's basic...
http://postimg.org/image/pb0eu3ap3/
So I've got this graph, and magnitude, M, depends on the number of points, N,.... but it shouldn't.
http://postimg.org/image/pb0eu3ap3/
The line of best fit is..... M = a*N ^b
It's been a while since I studied, but knowing their relationship would it be...
Homework Statement
Given the eqn x=2, y=sin(t), z=cos(t), draw this function in 3-space.
Homework Equations
ABOVE^
The Attempt at a Solution
I did this:
x^2+y^2+z^2=2^2+(sin(t))^2+(cos(t))^2=5
Therefore we get x^2+y^2+z^2=5
Which is the eqn of a sphere with radius root5.
My friend said it's...
The question is `For the same time interval , how did the area beneath the velocity-time graph compare with the displacement of the cart? How should it compare?` I don't understand what they`re asking me to do, please help.
Homework Statement
G(t)=1/2(t^2-4t)
The Attempt at a Solution
Since this is a polynomial it's all real numbers for domain
y-int:
G(0)=1/2(0^2-4(0)
y-int=(0,0)
x-int:
0=1/2(t^2-4t)
0=(1/2)t(t-4)
Not sure...
And not sure about the vertex. I know the formula -b/2a but how do i find those two...
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...
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...