Points Definition and 1000 Threads

I've been trying to tackle this question for a while now, but I'm afraid it's not going anywhere without some outside help. So let's say we have some body falling towards a planet without any atmosphere, and let's assume that the initial velocity is not equal to zero. Given these conditions I'm...

If we are asked to place 3 points on the surface of a sphere so that they are equidistant, it's easy to visualize that the result will be such that the three points form an equilateral triangle. If asked to place 4 points it's easy to visualize that the result is such that the points arrange...

Polar Coordinates --- Graphing the points of when theta<0 Hi everyone, I'm working with an online graphing program desmos.com. It's great, and actually tons of fun. I'm currently working with polar coordinates but the only flaw of this grapher is that when working with polar coordinates...

ω = dΘ/dt if any points on a uniform disc have the same angular velocity then the corollary implies that any point on the disc must transverse 2π rad in the same amount of time. Is there a mathematical way to demostrate this or is this only demostratable purely by experiement?

Hi, I have to find examples,application about points which represent a rigid body.In the lecture dynamics of machines we call them substantial points. the points have a mass which is equal to rigid body for example a mechanism. to do this we use kinetic energy equalities...

Homework Statement Just started getting introduced to calculus and a couple applications. After I've found the stationary point i understand that i can put the x value into the second derivative to find if its a maximum or minimum point. i.e 12x-2x2 ƒ'(x)= 12-4x 12-4x=0 x=3 so...

Homework Statement Find and determine the type of singularity points for ##f(z)=\frac{\sin(3z)-3z}{z^5}##. Also calculate the regular and main part of Laurent series around those points.Homework Equations The Attempt at a Solution I am already having troubles with the first part. Singularity...

How do you calculate the intersection of discrete data points and an equation? Actually I have two ways already, one is to just take the equation of the discrete points then solve it using a root-finding technique. The other would be substituting the x values of the discretized points to the...

Homework Statement find the locus in the complex plane that satisfies z -c = p (1+it/1-it) c is complex, p is real t is a real parameter Homework Equations The Attempt at a Solution there is no answer in the textbook so i wanted to check my answer. I got a unit circle...

Hi, I'm asked to find and classify the singular points of a function w(z) in the differential equation: w''+z*w'+kw=0 where k is some unknown constant. The only singular point I notice is $$z=\infty$$. Is that right? I did a transformation x=1/z and examined the singular point at x=0 and...

I have an equation for determining the acceleration of an object being propelled by a constant power source, that is affected by air resistance: a = \frac{P}{mv}-\frac{CDpAv2}{2m} Since F = \frac{P}{v} I am trying to graph this as a velocity-time graph, however, I don't know how to do it...

Is there a simple way to make a function go through a set of points? Something similar to what I'm looking for is this; a function that creates a smooth curve crossing y=0 at a list of x-coordinates This will cross y=0 at x=-10, x=-2, and x=5 f(x)=(x-(-10))(x-(-2))(x-(5)) This is...

The set of all points \(P(x,y)\) in a plane, such that the difference of their distance from two fixed points is a positive constant is called? ellipse hyperbola parabola circle How do I work this out? Are the two fixed points supposed to be the foci? Wouldn't this also depend on the how one...

Here is the question: I have posted a link there to this thread so the OP can view my work.

Homework Statement Find the stationary point(s) and also find out whether the stationary point(s) are minimum/maximum z = 2x + 5y - 5y2 - 5x2 - 4xy - 1000 Homework Equations - The Attempt at a Solution I'm not 100% sure if I was correct and laid the answer out properly, can someone please...

The attachment provided shows a frame in which a large fan is to be rested on. The fan has a weight of 6,060 kg and the location of the centre of gravity is shown in the attachment. I would like to know how to calculate the loads at each point. Could anyone please provide some help on this problem?

Homework Statement See attached image Homework Equations they are provided in the image. I see the domain is used The Attempt at a Solution I can't figure out how they went from step one to step 2. where does the -81 come from and the 9 multiplied to the function in the middle. I...

Homework Statement Let A, B and D be points. If ##D\notin \vec{AB}## in a metric geometry, prove that ##\vec{AD}\cap\vec{AB} = \{A\}.##2. Relevant definitions Ray: If A and B are distinct points then the ray from A toward B is the set ##\vec{AB} = \overline{AB} \cup \{ C \in P \ | \...

(I am not sure if this is the right place to post it but since my solution involves some Calculus, I decided to post it here.) (Also, I am not well versed with the correct words and terms to be used while doing geometrical probability problems, I am sorry if I write something wrong. :o )...

Homework Statement For what values of a do the points (4,3),(-3,1),(1,a), and (1,5) lie on a circle? The Attempt at a Solution So my solution came down to getting the equation a(x^2+y^2)+bx+cy+d=0 Making a matrix with the first three points, doing R1-R4, R2-R4, R3-R4, then reducing the matrix...

Homework Statement The series circuit is connected as follows: A 12V Battery -> 8ohm resistor -> 7V Battery -> 4ohm Resistor -> Earth. The problem states that if a voltmeter was connected from a point between the 12V battery & the 8ohm Resistor and connected to a point above the Earth then...

This might be an unusual thread but is that i really can't figure out how to plot single points in 3D space using MatLab. I need to plot the points (1,0,0) , (0,1,0) and (0,0,1)

Here is the question: I have posted a link there to this thread so the OP can view my work.

Hello everybody. I'm new with Comsol and I'm working with the 4.3b version. I'm trying a simulation of a sphere (in 3D, of course) and I want to figure out in how many points is Comsol evaluating the ecuation. I know I set the maximum and minimum size of the tetrahedrals (I'm using tetrahedrals...

Homework Statement If E = 6000 V/m, find the potential difference between point X and Y! a. 2400 V b. - 2400 V c. 6000 V d. - 6000 V e. 3000 V Homework Equations E = V/d not sure for other equations The Attempt at a Solution The electric field of X and Y will be the same...

Homework Statement Prove that a line in a metric geometry has infinitely many points.2. The attempt at a solution I can't use any real analysis, like completeness. I can only use geometry to prove this, specifically distances and rulers. Intituvely I understand why. Any segment with at least...

Hi, I have an involute gear and measured co-ordinates of two arbitrarily chosen points (on the involute portion) of a tooth. Can I find out the base circle with this information? Thanks.

Differential Equation ---> Behaviour near these singular points Homework Statement Problem & Questions: (a) Determine the two singular points x_1 < x_2 of the differential equation (x^2 – 4) y'' + (2 – x) y' + (x^2 + 4x + 4) y = 0 (b) Which of the following statements correctly describes...

The question was too long to post in the title so I just wrote down the first part. I hope this is alright. Here is the question that I am doing right now: This is the graphical representation (thanks to Desmos Graphing Calculator): So I have substituted the points in the equation to get...

Homework Statement See attached for problem Attempt at solution ∂f/∂x = 3x2+12x ∂f/∂y = 3y2-12y Factorise x(3x+12) x=0 or, 3x+12 = 0 → x= -4 y(3y-12) y=0 or, 3y-12=0 → y=4 I find the next stage difficult, because there are no mixed terms in the polynomial any of the values i...

In set theory a set is defined to be a collection of distinct objects (see http://en.wikipedia.org/wiki/Set_%28mathematics%29), i.e. we must have some way of distinguishing anyone element from a set, from any other element. Now a topological space is defined as a set X together with a...

The line with equation y = x + k, where k is a real number, intersects the parabola with equation y = x^2 + x − 2 in two distinct points if I first made the equations equal each other x + k = x^2 + x − 2 0 = x^2 -2 -k From here i thought you use the discriminate a=1 b=o c=-2-k but this...

To quote Goursat: Would somebody mind developing some intuition for this statement, along with an example or four (if not an intuitive proof), that would help motivate me to pick up classical books on analytical geometry & encourage me to wade through hundreds of pages to get to results like...

In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation. We learned how to solve these equations with power series using the Frobenius method. I was wondering what happens when there is an irregular singular point, like...

Homework Statement Homework Equations The Attempt at a Solution Excuse me for the large images. I figured it would be easier than re-writing it all and wanted to show what I've been doing. I know my work isn't too clear, but in short, I haven't dealt with a problem involving...

Homework Statement . Let ##S==\{\frac{1}{n}+\frac{1}{m}, n,m \in \mathbb N\}##, find all the accumulation points of ##S## and decide whether ##S## is compact or not. The attempt at a solution. I've found that the points of the form ##\frac{1}{n}## and ##0## are accumulation points. For the...

Homework Statement I had a Young's Modulus experiment in lab. Our specimen, which was used, was mild steel. After plotting the graph I realized that there was only one yield point. However, as I read from many sources, there must be two yield points for mild steel(upper and lower). I am pretty...

Homework Statement I am trying to determine at what points the given potential difference will be using v=k(q2)/r2-k(q1)/r1. I know the location of both q1 and q2 using cartesian coordinates, as well as, there magnitudes which I have set each to one. q1=(1,0) q2=(-1,0) Homework Equations...

Homework Statement https://scontent-b-dfw.xx.fbcdn.net/hphotos-prn1/v/1012733_10201076259690370_236735593_n.jpg?oh=4896ca67a34d3b223b764aba8ed308ab&oe=528A1B57 Homework Equations http://upload.wikimedia.org/wikipedia/commons/3/34/Phase-diag2.svg The Attempt at a Solution Not sure entirely...

For the following example:(if possible give example or just state impossible 1) a bounded subset A of R for which sup A is not a limit point of A. An example is (0,1) union {7}. will this work? 2) a finite subset A of R that is not closed I think it is not possible. Please give some hints...

Homework Statement i had some problem with MATLAB of how to create two points of random positions and adding another few random pointsHomework Equations how to create the points, set a point as the centre, make the iteration for one point to rotate the centre and also the other iterations for...

Homework Statement The aqueous solution with the lowest freezing point of the following group is: 1) 0.01m MgSO4 2) 0.01m NaCl 3) 0.01m CH3CH2OH 4) 0.008m MgCl2 5) all equal Homework Equations Solutions have lower freezing points and higher boiling points than their solvents...

In the textbook I am working with, an isolated point of A is defined to be a point X in A such that there exists a neighborhood (open ε-ball) centered on X containing no point in A other than X itself. A boundary point of A (which need not be in A) is defined as a point X in A such that...

Hi Why are displacements calculated on integration points but not directly over the nodes. The whole purpose of discretizing a structure in FEA is to have fewer degrees of freedom, then why add integration points when there are well defined nodes. Also, can somebody please explain having...

In Dummit and Foote Chapter 15, Section 15.3: Radicals and Affine Varieties on page 679 we find the following definition of affine variety: (see attachment) ------------------------------------------------------------------------------------------------------------------------------------...

Homework Statement Suppose that a continuous function f(x) has horizontal tangent lines at x = -1, x = 0, and x = 1. If f"(x) = 60x^3 - 30x, then which of the following statements is/are true? A) f(x) has a local max at x = 1 B) f(x) has a local min at x = -1 C) f(x) has an inflection...

Homework Statement A 100 nC point charge is located at A(-1, 1, 3) in free space. (a) Find the locus of all point P(x,y,z) at which E_x = \frac{V}{m}. Find y_1 if P(-2,y_1,3) lies on that locus. Homework Equations...

Hi there , I have some simple (on 1st look) questions. I just need some help.http://img59.imageshack.us/img59/3018/5hby.png 1st question. I think the expected value should be 150 since the probability of getting a head is 1/2 .. 300x1/2 = 150 so the mean should also be 150. the variance...

Homework Statement The equation of motion of a particle moving in a straight line is ##x'' - x + 2x^3 = 0## and ##x = \frac{1}{\sqrt{2}}, x' = u > 0## at ##t = 0##. Identify the singular points in the phase plane and sketch the phase trajectories. Describe the possible motions of the...

Homework Statement *)Given two points A=(4,3,2) and B=(-2,0,5).Find the unit vector extending from origin toward the midpoint of line AB Homework Equations The Attempt at a Solution Direction vector to AB=(-6,-3,3) and hence direction vector to its midpoint is (-3,-1.5,1.5)...