Curve Definition and 1000 Threads

I have a formula y=log(x)/log(0.9) which has this graph: I want to find the intersection of this curve and a tangent line illustrated in this rough approximation: The axes have very different scales, so the line isn't actually a slope of -1, it's just looks that way. How can I figure out: 1)...

8.1.1 find the length of the curve to four decimal places $y=xe^{-x},\quad 0 \le x \le 2$ eq from book $L=\int_c^d\sqrt{1+[g'(y)]^2}\, dy$ ok I haven't done this in about 2 years and only did a few then so trying to review rare stuff kinda desmos graph

I am asked to find Ro, a, and b. Th problem states the values are determined by the measurements at the normal ice, steam and sulfur points. So I approached the problem by plugging the the temperature problems. For 0°C, Ro reduces to 7 ohms. Then for the other two non zero temperatures, it looks...

I'm looking at the following web page which looks at rendering bezier curves. GPU Gems 3 - Chapter 25 Paper on same topic The mathematics is quite interesting, I was interested to know what the F matrix would look like for for a linear bezier equation. The maths for the quadratic case is in...

I should probably get one or two of these under my belt. My current need is to plot a ... I guess it's a heat map. I've got a map of my local area and I want to determine the geographical centre of a number of points (say, seven). So, for every xy "cell" on the map, I'll use pythagoras to...

The following solves an IVP, giving the output as the function f3[x]: s3 = NDSolve[{(-z1[t]^(3/2) + (1 + z1[t]^2)^(3/4))/( 3 (-z1[t] + Sqrt[1 + z1[t]^2])) == z1[t] z1'[t], z1[0] == 0.0001}, z1, {t, 0, 30} f3[x_] := z1[x] /. First[s3]; My question is, how do I curve fit f3[x] to the...

Hi everyone, I'm stuck on how to show the peak of the amplitude resonance curve is at wd = w0√(1-1/2Q^2), where Q = w0/γ. My first instinct is to take a derivative of something and set = 0, but what eqn?Help?

We can read: "The velocity dependence of the stopping power, increasing with decreasing velocity, is obvious from Fig.4". I know why the stopping power depends on velocity as Bethe equation states, but I do not know how I can observe that dependence on a Bragg curve.

The Nyquist curve for a fifth order system with transfer function G(s) is given in the attached photo. Here we have plotted G(iω) for both positive and negative frequencies ω. The transfer function G(s) has no poles or zeros strictly on the right side of the imaginary axis Point −1 is marked...

Here's a FBD I made for this question. From the diagram, I obtained that ##-W + N \cos\theta - f_s \sin\theta = 0##. And ##N\sin\theta + f_s \cos\theta = ma = \frac{mv^2}{R} \leq N\sin\theta + f_s^{\max} \cos\theta = \frac{mv_{\max}^2}{ R}##. Solving these equations, and using the angle...

How to find image of $f(x)= x + sinx$ about the given line $y = - x$ . Similarly can we take image of a function about a function? OR is it necessary about which we take image should be a point, line only?

Helping someone with some fictional physics. He's looking for a function that will produce a curve similar to this (poor geometry is my doing, assume smooth curvature): Starts at 0,0. Maximum at n. Reaches zero at infinity. The cusp is not sharp, it's a curve (which, I think suggests at least...

Hi. My question is described in the summary. I'm seeking some advice. The Reissner-Nordstrom solution for charged spherical bodies seems to indicate that electrostatic fields will be a source of gravitation. I've not seen anything similar for magnetic fields but I can't imagine how it could be...

When a ball is thrown such that it moves in a curved trajectory in the horizontal plane, it amuses me to think of its dynamics. In motion of a ball thrown upwards the force of gravity gives it a parabolic trajectory However when the ball is thrown to curve and hit a target, (in the horizontal...

ok I was able to get the graph of P(z>1.28) \begin{tikzpicture} %preamble \usepackage{pgfplots} \newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma \begin{axis}[every axis plot post/.append style={ mark=none,samples=50,smooth}, % All...

Determine the following standard normal (z) curve areas: Determine the following standard normal (z) curve areas: a. The area under the z curve to the left of $1.75$ from table $5\ \textit{$z^{*}$} =1.7 \textit{ col } .05 = .9599$ $\textit{ \textbf{$W\vert A$} input }...

Molecular potential energy of hydrogen in dependence with atomic distance for bonding orbital is given by picture below. We can see that at large distances force between atoms is attractive and potential energy drops to minimum which corresponds to bond energy and length. This part of the...

The curve ##\sqrt{x^2+y^2}=(\frac{y}{x})## is not defined for points ##(x,y)## in the second and fourth quadrants. Consider the transformed curve ##x^2+y^2=(\frac{y}{x})^2##. If ##y = 0##, then ##x^2+0^2=\frac{0^2}{x^2}=0##, which means that ##x=0##. Along the line ##y=mx##, where ##m\neq0##...

Does this curve look quadratic or exponential

I was looking at the problem below in detail, attached find the problem and the mark scheme solution. Now this was my approach which is just similar to the Mark Scheme method ##2## above where they expressed ##x=f(y)##... I did it this way; ...There was some work involved particularly...

My interest on this question is solely on ##10.iii## only... i shared the whole question so as to give some background information. the solution to ##10.iii## here, now my question is, what if one would approach the question like this, ##\frac {dy}{dx}=\frac{t^2+2}{t^2-2}## we know that...

Ref https://arxiv.org/abs/quant-ph/9903047. They say the form of their no-which-path-info interference curves (figs 3,4) is "standard". But a standard interference curve has a zero base line. Their base line is a humped curve of the form of their Fig.5, but with about 1/3 of its height. They...

Hello. I have a curve, I want to write mathematical statements that describes all the features of the curve. For example: how do I write math statement that describes its curvature... Is it possible to write equation for curves that goes backwards? Thanks.

Flat rotation curve in galaxies is determined by observing neutral hydrogen which is co-distributed with dark matter. What is the rotation curve profile of neutral hydrogen in galaxies where there is less dark matter?

Let $F = (P(x,y),Q(x,y))$ a field of vector class 1 in the ring $A={(x,y): 4<x²+y²<9}$ and $x,y$ reals. I am having trouble to understand why this alternative is wrong: If $ \partial P /\partial y = \partial Q /\partial x$ for every x,y inside A, so $\int_{C} Pdx + Qdy = 0$ for every...

I want to find a formula for an action potential (illustrated with the curve in the attachment). I would like to use the formula to graph this in Desmos graphics calculator. I don't have much of a math background, but a sine function comes to mind...I would like to get the precise shape though...

Can anyone help me to find the equation of the tangent to the curve x = 2 cos t, y= 2 sin t where t= pi/3??

Hello: Let's say you have a string and get data by changing the frequency a transverse wave in the string to get different standing modes. You measure the wavelength of each mode for each frequency. That is, the data you get are frequency and wavelength. Now, you are trying to find the...

Problem statement : We have the graph of the function ##f(x)## shown to the right. The function ##f(x) = \frac{1}{x}## and the domain of ##x \in [1,\infty)##. We have to find the volume and surface area of the 3-D "cone" formed by rotating the function about the ##x## axis. ##\\[10pt]##Attempt ...

I am looking at a solar panel and would like to be able to plot the IV curve for it. I have Isc, Voc, Imp, and Vmp from the datasheet so I can get the fill factor. I know each cells dimension and the number of cells too so I can find the current density if required. Is there a way to use the...

Hello everyone! I am analysing an 18 m per 1.2 m truss, simply supported, with 140x5 chords and 90x8 braces. I then loaded the superior nodes with 500 KN. The top nodes were also laterally constrained to prevent out-of-plane displacements. After imputing the structure in Abaqus (FEA software), I...

Hi, I did the first degree curve fitting in MATLAB. Please see below which also shows the output for each code line. But I wasn't able to get the same answer using Cramer's rule method presented below. I'm sure MATLAB answer is correct so where am I going wrong with the Cramer's rule method...

If I draw some arbitrary curve then that curve can be represented convolutedly in mathematical elements and it can also be represented in simple mathematical elements? Thanks!

First I figured out the normal force being exerted on the car using the equation above. Cos(40°)*(1050*9.8) = 7883N Next, I tried to find out the horizontal component of the normal force by doing: Cos(50) * 7883 = 5067N I figured out the angle by using certain geometrical properties. Next, I...

Referencing this resume template, do you know how to delete the \entry field (dates) within the rubric (so that the text will align left without indentation)? I only want this for one rubric, but am unsure how to do this. Thanks so much!

I tried 1. using the Lagrangian method: From ##y=-kx^2## I got ##\dot y = -2kx \dot x## and ##\ddot y = -2k \dot x^2 - 2 kx \dot x##. (Can I use ##\dot y = g## here due to gravity?) This gives for kinetic energy: $$T = \frac{1}{2} mv^2 = \frac{1}{2} m (\dot x^2 + \dot y^2) = \frac{1}{2} m (\dot...

What are the possible ways of solving the operating point of air gapped transformer with nonlinear B-H curve? For example let's consider 3C90 E34 sized core with 0.5 mm airgap. I know that the magnetomotive force over the ferrite part can be formulated as function of the reluctances...

Really confused bout a question and finding the equation. A normal is drawn at the point (1,5) on the curve defined by the rule y=x2+4. Find the equation of the normal. I substituted the values x=1 and y=5 into the derived equation and got my answer to be x+2y=10? Is that correct?

Hello, What I understood from multiple answers on different threads is that the effect of the time dilation is too small to explain the galaxy rotation curve. I was advised to do some calculations in order to see it myself. And this is what I would like to do but I need some help. - What is...

dy/dx = 3px^2 - m Where do I go from here please?

Hi PF! I have the given data points here data = {{1.92, 0.74}, {2.32, 1.36}, {2.44, 1.88}, {2.52, 2.08}, {2.68, 1.92}, {2.64, 1.4}, {2.46, 0.78}}; and the following plots the correct interpolation Show[{ListLinePlot[{data}, InterpolationOrder -> 3], ListPlot[\[Lambda]cplx1]}] but...

I can calculate the value of the integration, it will be ##\frac{\sqrt{3}}{2}## But if I draw the function and consider the area bounded by the curve and x-axis from x = 0.5 to x = 1, it seems that the area will be infinite because x = 1 is vertical asymptote. Why can't I consider from "area...

This is a discussion on MathOverflow where a conjecture is discussed that the curve of ##\zeta(0.5+it)## is "dense" on the complex plane. https://mathoverflow.net/questions/73098/negative-values-of-riemann-zeta-function-on-the-critical-line From a couple of sources, e.g...

Hello, I need the natural parametrization or a geodesic curve contained in the surface z=x^2+y^2, that goes through the origin, with x(s=0)=0, y(s=0)=0, dx/ds (s=0)=cos(a) and dy/ds(s=0)=sin(a), with "a" constant, expressed as a function of the arc length, i.e., I need r(s)=r(x(s),y(s)). Thank...

Hello. I am trying to write the equation of this heart curve as 'y = '. So the following is my attempt to form that equation: 1 = 1/y (x6y + 3x4y3 - 3x4y + 3x2y5 - x2y4 - 6x2y3 + 3x2y + y7 - 3y5 + 3y3) Here, the graph of the above equation looks like this: Now, next I should write it as 'y =...

Hello there.The question is as stated:does light curve spacetime?We know that bodies with mass do curve spacetime but does a massless particle or wave like light curve spacetime?Thank you.

If the area of R is equal to 2 m^2 and the volume of R is equal to 4pi m^3 when it's revolving on Y by using shell method. Find the volume of R when it's revolving on x=3 ? Can you please help me ? I have tried to do it many times but still got the wrong answer. Thank you in advance.

Can you please check it for me that I have done it wrong or not ? Thank you in advance.

a. y=x^2 undergoes transformation 1 to become y=(x+2)^2 y=x^2+2 undergoes transformation 2 to become y=3(x+2)^2 y=3(x+2)^2 undergoes transformation 3 to become y=3(x+2)^2+4 So would the equation of the resulting curve be y=3(x+2)^2+4? I am very uncertain when it comes to performing...

I've been given a curve α parametrized by t : α (t) = (cos(t), t^2, 0) How would I go about finding the euclidean coordinate functions for this curve? I know how to find euclidean coord. fns. for a vector field, but I am a bit confused here. (Sorry about the formatting)