Line Definition and 1000 Threads

Given a cube, choose a vertice and draw 2 of the three possible diagonals. What is the measure of the angel between those two diagonals? Proposed answer: We can say that both diagonals touch vertice A, to give it a name. We can also call the endpoints of both diagonals B and C. If we imagine...

Disclaimer: I'm not exactly sure that this topic would belong in this thread but I don't think it would fit better anywhere else. I'm working on writing a paper for my grad research project and my PI wants me to model the plots after another paper that our lab published in the past, but I'm...

Homework Statement Need to visualize what it means by Line Integral along curve C with respect to x or y axis. For example suppose the curve is C (I did not find a way to write the C under the integration sign here) ∫ f(x,y) ds is like a fence along C whose height varies as per f(x,y). The...

Homework Statement A long, straight wire has a line charge, λ, that varies in time according to: λ = λ0 exp(-βt). A square wire loop of dimension a is located adjacent to the wire at a distance of a from the wire. Calculate expressions for the displacement current at the center of the wire loop...

I am give the following curve r(t) = (t+1,0.5(1-t),0) where t ranges from -1 to 1. I am now trying to derive a new parametric representation of this line segment using the arc length as the parametric variable. I have integrated r'(t) from -1 to 1 and found that the length of the segment ranges...

With social science courses, there's lots of opinions and perspectives. I think it's inevitable that the professor will lean one way or another, and I don't think having an opinion is bad insofar as you're overall fair about the class. One professor I knew taught in Introduction to Global...

Hey! I'm currently making a program which is a three body problem. I managed to get working results which I can plot to gnuplot. The question is, how can I write this within the program itself, so it can automatically plot the information to gnuplot if the user wants it to? (I'm being lazy :P)...

Homework Statement i was told that the major loss causes EL and HGl to decrease gradually , while minor loss causes EL and HGL to decreses rapidly ... Why ? Homework EquationsThe Attempt at a Solution is it because the minor loss(energy loss-( which is caused by the friction loss in the bent...

Homework Statement I am doing a distance HND and need to find the ideal straight line of a sensor output. The sensor is a temperature sensor with an OHM output. From a temperature range of 0-250 it has an output of 120-364ohm. temp output 0 = 120 50 =...

Homework Statement I'm being asked to compare the standard deviation of a data set with the root mean square error of the regression line used to model the data, in order to determine the reliability of the regression line. Homework Equations Mean squared error = variance + bias squared The...

Homework Statement T: R^2 --> R^2 given as a projection on the line L = 5x+2y=0 decide matris T? Homework EquationsThe Attempt at a Solution L= 5,2 X=x1, x2 projL on X = (5x1+2x2)/29 *(5,2) = 1/29 [25 10 10 4] is this correct?

Homework Statement How much work (in J) is required to bring a charge of 2 microC from the point {2*6.8,-7,2*1.1}cm via the point {10,20,1}cm to the point {-3*6.8,3.4,-3*1.1}cm, in a medium with relative permittivity of 3.7, near a line charge along x=6.8 cm, z=1.1 cm, with charge density +329...

Homework Statement Does the line through the point P(1, 2, 3) with direction vector d = (1, 2, -3) lie in the plane 2x+y-z=3? Homework EquationsThe Attempt at a Solution From the 2x+y-z i can get the vector (2, 1, -3) and the direction vector, their dot product does not equal zero. So, no it...

Homework Statement z = 2x^2 + 5y^2 +2 C is cut by the plane x = 2 Find parametric eqns of the line tangent to C @ P(2, 1, 15) Homework Equations z = 5y^2 + 10 dz/dx = 10y dz/dx (1) = 10 The Attempt at a Solution z = 10y + 15 y = t + 1 if the slope is 10/1 then delta z = 10 and delta y = 1...

Homework Statement I have to find the equation of the line by using any vector a and b in a way that the line fits the triangle generated by vector addition. If you don't understand my statement, look at my attached file. You will understand what I mean by triangle. Is my solution right...

Let $P = (1,2,-1)$ and $Q = (3,1,0)$. A point $B$ lies on the line segment between $P$ and $Q$. Given that its distance from $P$ is twice its distance from $Q$. Find the position vector of $B$.

If the line passing through the points $p = (1,2,-1)$ and $q = (3,1,0)$ contains the point $(a, 4,-3)$ then what's the value of $a$? I think $a = -3$. but I'm not sure. $(1,2,-1)x+(3,1,0)y = (a,4,-3)$ $(x,2x,-x)+(3y,y,0) = (a,4,-3)$ $(x+3y, 2x+y, -x) = (a, 4,-3)$ so $x = -3$, $y = -2$ and...

I found this before out on the interwebs, but alas can't find it today. How can you print the location of the .ini file that MySQL is using from the MySQL command line?? Thanks, -Dave

This question is about transmission line that I use between my Ham radio and the antenna. We a transmission line that is made of two parallel conductors close together. The current in one conductor is exactly the same as the current in the other conductor, but flowing in opposite direction...

Hello, I am taking some microwave engineering courses and was trying to explain the concept of reflection coefficients to my friend, but he asked me a question I am unable to answer... So we know that given a transmission line with characteristic impedance Z_0 terminated with a load impedance...

I am looking at building a zip line in my back yard and using steel tubing as my end anchors with the following specifications 75' span / support 500lbs at the center / 1/4" steel cable / anchoring the tubing into a 8"x6' masonry wall and encasing it is concrete with an additional 4' of tubing...

Homework Statement Evaluate line integral(x+sqrt(y)) over y=x^2 from (0,0) to (1,1) and y=x from (1,1) to (0,0) Homework Equations n/a The Attempt at a Solution I set up integral from 0 to 1 of 2t(sqrt(1+4t^2))dt for the parabola part and then added integral from 0 to 1 of...

I'm used to parameterizing however I'm not sure how to solve these types of problems, any help would be much appreciated. 1) Calculate the line integral ∫v⋅dr along the curve y=x3 in the xy-plane when -1≤x≤2 and v=xyi+x2j 2) a) Find the work that the force F = (y2+5)i+(2xy-8)j carries...

hello :) I am desperately seeking help for my problem: during reper of electrical mast, service crew attached main power line to my chimney. ( Chimney was add to house structure some time after house was build. More than 25 years ago). Repair was a day long project. It required main power line...

Am I forgetting some critical basic knowledge? It says: In the plane (identified by R^2) a linear equation ax+by=c is a straight line. If b=0 then this straight line is parallel with the y-axis; in the other case it is a straight line with slope -a/b. A (2 by 2)-system linear equation. Why is...

Homework Statement https://www.dropbox.com/s/w8xmgdwwqalymm4/000407.png?dl=0 Homework Equations I am not sure. The Attempt at a Solution I really don't understand how to go about this. I really need someone to help walk me through this where I can ask questions along the way. It is not so...

At the bottom of the picture, I couldn't understand why differentiating with respect to x gives the first integral at the right-hand side 0. Thanks for reading.

Homework Statement Charges 2q and -q are located on the x-axis at x=0 and x=a respectively. (a) Find the point on the x-axis where the electric field is zero, and make a rough sketch of some field lines. (b) You should find that some of the field lines that start on the 2q charge end up on...

1. Homework Statement Calculate the curvilinear integral ∫C (x2 + y2)ds where C is the line segment [0,0] → [3,4]. Then calculate the maximum M of x2 + y2 along the segment and verify that the inequality ∫C (x2 + y2)ds ≤ M*length(C) holds. Homework Equations ds = (x'(t)2 + y'(t)2)½dt ∇f(x,y)...

Homework Statement A line charge with a uniform linear charge density Lambda lies along the x-axis and extends from -∞ to 0. Determine the X-component, and Y-component of the E-field at a point P, a distance 'a' from the origin on the positive y-axis. Homework Equations dE= (k*dq/r^2)* r(hat)...

Homework Statement A finite line of uniform charge is on the line joining (4,0,0) (0,8,0) and has λ= 2μC/m find E at (0,0,0) Homework Equations E = Q / (4 π ε0 r^2) dQ = λ dl = λ dx The Attempt at a Solution I first notice that r will depend on 2 changing values x and y. I write an...

How can I find the line of intersection between the planes 2x-y+2x+1=0 and -4x+2y-4x-2=0 I realize these are parallel as they are multiples of each other, but I'm not sure how to solve for the point. I also have to convert this line into parametric, cartesian and vector form. Sorry for the...

In my physics textbook, I see Gauss' Law as https://upload.wikimedia.org/math/0/3/5/035b153014908c0431f00b5ddb60c999.png\ointE dA but in other places I see it as...

Homework Statement Find the parametric and canonical equation of the line L passing through the points A = [1, 0, 2] and B = [3, 1, −2]; check whether the point M = [7, 3, 1] lies on L. Homework Equations Canonical equation of a line in space x-x0 / l = y-y0 / m = z-z0 / n Parametric...

Homework Statement Find the projection, P', of the point P on the line p, the distance of P from p and the coordinates of the point R symmetric to P with respect to p, where P = [1, 2, 0], and p : X = [3, 0, 0] + t(0, 1, 0), t ∈ IR. *Sorry about all the P's, but this is how the question is...

Is it good if an aircraft has lot of streamlines ?

Homework Statement Find parametric equations for the line through P1 and P2 and also for the line segment joining those points. Also find the conditions for the parametric equations. a) P1(0, 2) and P2(-4,-4) b) P1(7,-3,9) and P2(7, -3, 1)Homework Equations Equation of a line (Vector...

I want to install a hydroboost (VH44) to make the clutch easier to use (because of an injury/disability). From what I've read, it'll reduce the pedal travel distance *and* tension. What would happen if I installed two hydroboosters, in series? Reduce travel? Tension? Both? Nothing at all...

Given a parametrized curve ##X(t):I\to\mathbb{R}^2## I am trying to show given a fixed point ##p##, and the closest point on ##X## to ##p##, ##X(t_0)##, the line between the point and the curve is perpendicular to the curve. My only idea so far is to show that...

We want to know the shortest distance from the point P to the line (see figure 1). As far as I know it is given by the length of the segment perpendicular to the line that joins the line to the point. Can you check this argument I give is correct? Part A. First let us draw in the segment from...

With coordinates q en basis e ,textbooks use as line element : ds=∑ ei*dqi But ei is a function of place, as one can see in deriving formulas for covariant derivative. Why don't they use as line element the correct: ds=∑ (ei*dqi+dei*qi) Same question in deriving covariant derivative,

When I pick a random number on a number line made out of integers, starting from zero and expanding infinite to the right, what can I say about the position of this random number ? To the right the amount of numbers is infinite. To the left is an amount, a number, so that is finite, but it has...

Greetings all, In Hartle's Gravitation, it seems like a given the way he manipulates the "differentials" when he gives a line element. The thing is that it works, and I know it's not mathematically rigorous, but first of all, I'm wondering when treating the differentials in the line elements in...

so if $a\left(t\right)=p+qt$ then $v\left(t\right)=\int a\left(t\right) dt = pt+\frac{q {t}^{2}}{2}+C$ if $v=3.5$ when $t=2$ then $1.75=p+q$ if so, now what? the answers are $4, -3; 4m$

A particle, moving in a straight line, passes through a fixed point O with a velocity of $8 m s^{-1}$ Its acceleration, $a\ m^{-2}$, t seconds after passing O is given by $a=12-6t$. Find (i) the velocity of the particle when $t=2$, (ii) the displacement of the partial from O when $t=2$. I...

I get the conservation of momentum law that states that objects always have conserved momentum. I can easily accept this with the view that while an object appears to be at rest it is actually speeding through the universe at a massive speed. I just have the same speed so relative to myself the...

I can't figure out why my demonstration of snell's law fails, that's the demonstration: (I used a photo) I think it fails because the function t (HO) represents a line and so the concept of minimum is not defined, when I take the derivative and equal it to 0 I'm considering the case when the...

Hello, I am working on a automotive fuel system for a school project and one of the problems is not enough fuel at higher rpm's. Would a larger fuel line help this problem? The pump has been determined that it should be powerful enough for the necessary supply and wondering if there can be...

The 3.5 Kev x ray emission line first reported by Bulbul and Boyarsky in early 2014 continues to surface in the literature. This paper;http://arxiv.org/abs/1512.07217, Searching for decaying dark matter in deep XMM-Newton observation of the Draco dwarf spheroidal, conflicts with the findings of...