Curve Definition and 1000 Threads

Hi, I have conducted an experiment to calculate the rate of change of water as it passes through 1cm levels (10 down to 0) across a uniform cross section of a juice bottle (rectangular prism shaped). I was wondering how I could verify/prove that the area under the curve is equal to the initial...

It’s clear that bending moment for a curve beam is less than straight one And you can attribute this to moment of inertia, but there is something i don’t understand Which is if i have straight beam with small moment of inertia or huge moment of inertia simple supported beam), the moment will...

I understand that the engineering stress-strain curve of different material under tension test is different, but for the sake of simplicity the scope of this discussion will be for a general ductile material. If you have to pick a specify example, I think perhaps you can use steel or iron...

For a unit mass sliding down the stationary curve y = f(x) at the point (x, y), we can consider our mass to be sliding down a stationary inclined plane which is tangential to the curve at the point (x, y). The slope of this inclined plane is thus \frac{dy}{dx}(x). For the remainder of this...

1. Sketch the curve 2. \frac{x}{(x-1)^{2}} 3. Here's what I have; the domain is all x except x ≠ 1, y-intercept of 0, x-intercept of 0, symmetric about the origin since it is an odd function, horizontal asymptote of 0, vertical asymptote of 1, and for the increasing and decreasing...

Homework Statement A capsule suspended on flat rails enters a curve in a pipeline. It has guide wheels on vertical axles to keep the main wheels on-track. As it enters the bend the front guide wheel impacts the side of a rail to steer the bogie. What is the force of this impact? Essentially...

Homework Statement I was wondering if I did this problem correctly as I don't have the solution, also wanted to make sure that my limits of integration were correct as they tend to be tricky in finding arc length in polar coordinates. x(t)=arcsint y(t)=ln(sqrt(1-t^2)) Homework...

I am trying to find out a method of determining the area below a curve. The end points of the curve are known in cartesian space, and the curvature of the curve is known. A diagram of the curve is here, shown in the images belowthis webpage [SIZE="1"]ß must be in radians...

Can somebody provide a solution for creating a nonregular icosahedron whose facets are sized in such a way that, when used as a die, the probability distribution of the 20 sides would approximate a (stepped) bell-curve??

1. How many tangent lines to the curve \left(y=\frac{x}{x + 1}\right) pass through the point (1,2)? At which points do these tangent lines touch the curve? 2. \frac{x}{x + 1} 3. I tried to use the quotient rule and came up with the equation \frac{1}{(x + 1)^{2}}. I tried plugging in 1 to get the...

How to Find the points on curve which are nearest to origin

never mind i figured it out.

So there are four square roots for an elliptic curve represented by an equation something like this: y^2 = x^3 + x + 6 (mod 5) How would one go about calculating these?

Lorenz Curve question. HELP HELP! Urgent? If a country has a coefficient of inequality (CI) of 0.99, describe the graph of the Lorenz function in relation to the line y=x. Hence comment on the income distribution.

ƩHomework Statement A car of mass 2,000 kg is moving round a curve on a banked track (see diagram-We were actually only given the top picture "a" and not the bottom one, but both are relevant) at a constant speed. The coefficient of static friction between the car's tires and the track is...

Homework Statement Find parametric equations for the tangent line to the curve of intersection of the cone z=√(x2 + 4y2) and the plane 3z = x + 2y + 8 at the point (3,2,5) 2. The attempt at a solution I was trying to make the two Zs equal to each other, and solve for x or y, but I couldn't...

Homework Statement I have to find the slope of the tangent line at (-1,1,5) to the curve of intersection of the surface z = x2 + 4y2 and the plane x = -1 2. The attempt at a solution I really am having trouble figuring out where to start. The question is even numbered, and the only one...

So I have to determine whether the set S = {(x,y): F(x,y) = 0} is a smooth curve, draw a sketch, examine the nautrue of ∇F = 0. Near which points of S is S the graph of a function y = f(x) and x = f(y) F(x,y) = (x2+y2)(y-x2-1) Attempt: So it is the union of a point and the parabola y = 1+x2...

Hello, I'm not sure if this is the right section because this is somewhat of a hybrid of math and physics. Say I have a ball in 3D space, its initial position and its' initial acceleration. Furthermore I have another point in 3D space which I want the ball to pass through, if possible. The...

Consider that the curve C (IR3) is the intersection between x2+2z2=2 and y=1. Calculate the line integral: Note: The curve C is traversed one time in the counter-clockwise direction (seen from the origin of IR3). My attempt: http://i.imgur.com/5EsJO.png Can someone check? Thanks! :)

Sketch the graph of the equation x - e^(1-x) - y^3 = 0, Show that for each x there is a unique y satisfying the equation. Attempt: So the first thing I did was isolate y in order to put the equation in a form to graph (somewhat). did that and got y = (x-e^(1-x))^1/3. Got the y-int: (0...

Hi all, I don't know much about physics other than what I've read about it and learned from an introductory astronomy course. I've been told to imagine spacetime like a rubber sheet that bends in when you drop something with mass on it, and I've seen diagrams of how this works. What I have...

Homework Statement Sketch the curve r = 1 + 2cosθ in polar coordinates. Homework Equations None that I can think of, it's graphing. The Attempt at a Solution What I was trying to was use the method of finding cartesian coordinates and plugging different values of θ into the equation to...

Hey Guys! Homework Statement Find the area of the "loop" (I'm guessing it's called) formed by the set of parametrics: --> x(t)=t3-3t and y(t)=t2+t+1Homework Equations I've already drawn the graph and as said before the curve creates a "loop", I have to find the area insed that "loop" and I...

I was plotting some data and got a curve that was instantly recognizable as a blackbody radiation curve. The data has nothing to do with blackbody radiation though, and I was wondering if there was a more general name for this type of curve? To be clear, I mean a curve like these...

Hey everyone, I had a recent post similar to this one, and everyone may have not understood it because I didn't use LaTeX, so here it is. Homework Statement Integrate the area under \frac{x}{3x} and above \frac{x}{3x^.5} between x=1 and x=4. Same as: \int \frac{x}{3x} - \frac{x}{3x^.5}...

The main problem is that I have no idea what I am doing. But second to that I am attempting to fit a curve to some data using the equation y = ((1/A(x-B)^(C+1))+D)^-1 if that makes sense I need to get the values for A,B,C and D and so have been looking into lsqnonlin but I am having...

Find the length of the curve r = cos^2(theta/2) I'm hopelessly lost.

Homework Statement Y=\frac{\sqrt{1-x^2}}{(2x+1)} Homework Equations I took the first derivative which I believe to be: \frac{(-x-2)}{(2x+1)^2\sqrt{1-x^2}} I also took the third which I believe to be: \frac{4x^3+12^2-7}{(2x+1)^3(1-x^2)^(3/2)} I am trying to find zeros of the...

Hi everyone, I'm trying to draw a stress-strain curve with data collected from the test itself. I have no problem plotting the points obtained, but I can't figure out how to graphically or at least with some kind of software aid, to get results (σ0.2, σmax, σ0.5, and so on). I tryed with...

Homework Statement Find an equation of the tangent line to the curve y = x√x that is parallel to the line y = 1+3x. Homework Equations m = 3 The Attempt at a Solution Here is my attempt: dy/dx(x) * dy/dx(x^(1/2)) = (1) * (1/2x^(-1/2)) = (1/2x^(-1/2)) (1/2x^(-1/2)) = 3 →...

Homework Statement f(x)=x^3+bx^2+d given a critical point of (2,-4), solve for b and d Homework Equations f'(x)=3x^2+2bx ? The Attempt at a Solution I wasn't really sure where to go with this. So I know that a critical point happens when f'(x)=0, and this point can be either...

I couldn't find any resources in my book or online dedicated to this subject. I honestly don't even know where to begin for this problem. Homework Statement Let f(x,y) = 4 / (1+ x^2 + y^2) and let S be the surface given by the graph of f(x,y) b) Let C2 denote the curve in the xy-plane...

I have always seen the integral as the area under a curve. So for instance, if you integrated over the upper arc of a circle you would get ½\piR2. But then, I learned to do integrals in spherical coordinates and something confuses me. If you do the integral from 0 to 2\pi, you don't get the...

If I have a set of n numbers, (n=0,1,2, ... n-1), what is the maximum number coefficients in a series I would need in order to find y=f(n) true on the integers up to n-1? Or is that something I just have to check after fitting it? ( does it need an nth degree polynomial?) Another question...

Hello all I work in transport engineering. i have come across what seems to be a simple maths problem but i do not understand it. The problem relates to geometry i.e. calculating the radius of a curve using a chord and a versine. The problem is this:- " a general rule of thumb is as...

Hi, I have a dataset of a random variable whose probability density function can be fitted/modelled as a sum of N probability density functions of normal distributions: F_X(x) = p(\mu_1,\sigma_1^2)+p(\mu_2,\sigma_2^2)+\ldots+p({\mu}_x,\sigma_x^2) I am interested in a fitting method can...

is energy(with photonic mass)of a light beam capable of gravitationally attracting other light beam in absence of other gravity sources..

Homework Statement A 1200 kg car rounds a banked curve of radius 70 m. If the banked angle is 12° and the car is traveling at 90 km/h, show that friction is necessary in order for the car to safely make the turn. Homework Equations Force of gravity: Fg=m*g to calculate the normal...

If I had a fan sitting in a small duct, and used several different sized orifice plates to create different restrictions, how would I find the fan curve? I run the fan at the same RPM each test. The problem I run into is using the equation for orifice flow that relates pressure drop, area...

So, as you can see in the attached pictures, I needed to find the common area bound by the 2 curves. Is the method I have outlined correct because according to the marking scheme it just says \int g(x) - \int f(x) (The limits are the same, -3/2 to 1) The way I see it, this does not account...

I thought of a problem a few days ago and I have no idea as to its solution. I posted this on Reddit and xkcd forums earlier but not much has been solved apart from the area of one circle. Suppose you have a boundary formed by the curve y=e^(-x), and the lines x=0 and y=0. In this boundary you...

I'm making an applet for distance runners that predicts their finish time for any distance, using recent race times for any distance. For example, a user might enter 3 recent race times which are 16:37 for a 5k (5:21 min/mile pace), 27:42 for an 8k (5:34 min/mile pace), and 35:18 for a 10k (5:41...

Find area of surface obtained by rotating the curve, URGENT? Using Simpson's rule n=10, find the area of the surface obtained by rotating the curve y=x+sqrt(x), 1 less than or equal to x less than or equal to 2, about the x-axis. Include at least five decimal places in your answer. Area = ...

Well, I just made my first light curve of a transiting exoplanet, TRES-3B, the graph is here. It's my first time ever doing any photometry, but seeing as how the light curve matches the expected transit pretty much spot on it looks like I was successful. It's got me wanting to get more or...

I have a process that requires an operational profile that follows one of the curves in the diagram which follows. I wish to program into the device a general equation that will give me a family of curves of this general shape. The goal is to adjust the parameters of the equation so that I can...

When i was at school i used to think that any line that touches a curve at only one point is called as the tangent at that point to the curve! But after reading derivative i think this definition of tangent is not correct at all conditions! For example, x-axis cannot be called as tangent at...

Considering f(x) = tan(x) * 5 / 8 ... how can I find the length of the curve, specifically, between (0, 0) and (1, 1) ? if anyone can help I would be happy. Thanks Keeaga

I have 100 data points that I want to fit in Excel I can do this with NORMDIST no problem but I'm also trying to do it without it to no avail! I'v tried plotting the data using the Gauss function: y(x) = \frac{1}{\sqrt{\pi \sigma^{2}}}e^{\frac{-(x - x_{0})^2}{2\sigma^{2}}} where x is a data...

Homework Statement Evaluate the line integral over the curve C \int_{C}^{}e^xdx where C is the arc of the curve x=y^3 from (-1,-1) to (1,1) Homework Equations \int_{C}^{}f(x,y)ds=\int_{a}^{b}f(x(t),y(t))\sqrt((\frac{dx}{dt})^2+(\frac{dy}{dt})^2)dt The Attempt at a Solution I tried...