Lines Definition and 1000 Threads

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...

Hello learned Engineers, Physicists, and people more useful than myself: Thank you in advance for reading. I would like to submit a more educated proposal to a utility company for a method that would allow it to install 500 kilovolt renewable power transmission lines through many residential...

Homework Statement Find two lines in R3 in parametric form which satisfy the following conditions. Also, find the points on the lines which achieve the closest distance. Conditions: 1. They are not parallel to any of the coordinate planes 2. They do not intersect and are not parallel 3. They...

In one of the early chapters of Gravity by Hartle, he is developing the line element on a sphere in preparation for developing the concept of a spacetime interval. Whilst finishing up the proof Hartle sort of implicitly says that if two lines are orthogonal the line element connecting two points...

Homework Statement The three lines intersect in the point (1; 1; 1): (1 - t; 1 + 2*t; 1 + t), (u; 2*u - 1; 3*u - 2), and (v - 1; 2*v - 3; 3 - v). How can I find three planes which also intersect in the point (1; 1; 1) such that each plane contains one and only one of the three lines?Homework...

So over the course of yesterday and the day before that I've spent a few hours thinking about these problems; 1. Given a circle, place n points arbitrarily* on the edge and connect every point to every other point with a straight line. How many intersections do you get? 2. Given the same...

Homework Statement Find the area under (x/3x) and above (x/3x^.5) between x=1 and x=4. Homework Equations -Area of a representative rectangle= ((x/3x)-(x/3x^.5))dx -To integrate, raise the power of part of an expression and then divide the number in front by the raised exponent. The...

Homework Statement How many solutions are there to the equation where xn is non negative. x1+x2+x3+x4+x5=30 where x1,x2,x3,x4,x5<8? Homework Equations The Attempt at a Solution well I thought the only way to ensure this is when the first 7 'dots' are placed, since if...

Can electric field lines intersect in free space? I found the answer on the internet, but I will like to understand why not? Graphics will be appreciate it a lot! Thanks

It might seem trivial for most of you but i am confused by the definition of direction of magnetic lines. It's well known the magnetic field is directed from S to N but if one looks from outside and follows the magnetic line then one come from N to S. I am aware of that magnetic lines are closed...

It's given in my book that from the width of spectral lines you can determine whether or not it is a main sequence star... Not sure if astro-como or quantum.. Anyway, i need a detailed easy explanation of what is the width of spectral lines.. Secondly, if we know that how will we determine...

I wanted to ask that do each point of the current-carrying circular loop would create a magnetic field and hence the magnetic field lines? And if yes wouldn't the field lines produced by each point of the loop would intersect each other? I read somewhere that magnetic field lines never...

Homework Statement Find the shortest distance between the lines r = (0,7,6) + t (-3,2,2) and the line r = (-3,6,-4) + s (2,-5,6) The Attempt at a Solution What I did was I cross product s(2,-5,6) & t(-3,2,2) then I took (0,7,6) - (-3,6,-4) After getting both answer from the 2 steps I took...

Win 7 MinGW compilers. I have a txt file that has empty lines that I'd like to pass by when reading them. Each line is assumed to be 85 characters. Here's a snippet of code: Open(unit=astro_in, file="METEOR_LegacyInputToNML.txt", status = "OLD") do while(.True.)...

NEED CORRECTION, also this . means dot multiplication. My teacher comments: #6) you've made some errors (-2 marks) #8) correct, they intersect at a point, but you need to find the point like you did in #7 for full marks (-3 marks) 6.Determine the intersection, if any, of the planes...

That is, adding up the differential changes in angle between two arbitrarily chosen points on a function, to find the total change in angle between the tangent lines of those two points. How can this be done?

Does anyone know a way to get half-vertical lines? I mean, I'd like something identical to /vline , but which starts from the top of the row and only goes halfway down. Similarly, I'd like a line which starts from the bottom and only goes halfway up. Even better would be something like a...

Ok so I have read that power lines carry very high voltage to minimize loss through resistance, but when I take a look at the formula E=IxR E=Voltage I=Current R=Resistance Divide both sides to get E/I=R To minimize R we should make the numerator of the quotient smaller, and the...

Hi, This is my first post, but I'm not sure this is the right place for it. I am studying (independently, not in school) the lines in the plane problem that was originally solved by Jakob Steiner in 1826, which is a recurrence. The problem is to find the maximum number L[n] of regions defined...

Homework Statement Kindly view my 1st attachment. I need help to get the intersection of the highest line and the line extended by a slope from the horizontal line. Homework Equations y=mx+b y-y1=m(x-x1) The Attempt at a Solution Kindly view my 2nd attachment. By substitution, I...

Homework Statement Determine whether the following two lines intersect: (x-2)/2 = (y+3)/1 = (z-4)/-3 ,and (x+3)/4 = (y+4)/1 = (-z+8)/4 Find an intersection point, then find the distance between the lines. Homework Equations Symmetric equations of a...

Hi, I am having difficulty understanding the following: \int^{2π}_{0}(x+y)\,dθ = \int^{2π}_{0} 2a\,dθ = \textbf{4}πa where x and y are the generator lines of an elipse, a is the semimajor axis and θ is the angle formed by x and the major axis. I understand that x+y = 2a. However I...

This has GOT to be a stupid question, but I have to ask because something I was reading got me a bit messed up about dimensions. The argument is that all lines are one-dimensional because to a one-dimensional creature (yeah, this is a thought experiment), only one number is needed to specify...

(a) Find the equation of the plane p which passes through the three points (A 1,0,1), B(2,−1,1) .and C(0,3,2) . (b) Find a scalar parametric form of the equation for the line which passes through the point D(−1,1,1) and which is perpendicular to the plane p. (c) Let E be the point where...

Can someone help with this multi-part question. i did the first three but it doesn't seem right! --------------------------------------… (a) Find the equation of the line l through P(1, 1, 2) and Q(1, 0, 4) in vector, parametric and Cartesian forms. (b) Find the vector form of the line k...

Hello everyone I have a question that I've been pondering.. And it probably has a simple answer. I'm studying physics of Telecommunications at college, and we were talking about how you can't send digital square pulses over phone lines. This would require an unlimited need for bandwidth, and...

Homework Statement The Question Says: Given tow lines and a plane: The First Line is:L_1:(x y z):= (-4 3 4)*t +(7 2 -1) The Second Line:L_2:(x y z):=( -3 5 5)*s +(-1 62 -11) The Plane is :P:(x y z)dotted with(9 -2 3)=-4 (A)At which point do L_1 and P intersect? Check if this point lies in...

Homework Statement Find the eigen values of the following mapping and determine if there are invariant lines. (2 -4) (-3 3) is the mapping. Homework Equations det (L-λI)=0 The Attempt at a Solution L-λI= (2-λ -4) (-3 3-λ) det(L-λI)=0=ac-bd=(3-λ)(2-λ)-12 ...

I came across the question The following equation represents two straight lines. Determine the equation of each of the two lines. x^2+8 xy−x+16 y^2−4 y−72=0 I know we need to take common factors and the answer is (x+4 y-9) (x+4 y+8) = 0 leading to equations y = 1/4 (-x-8) and y = (9-x)/4...

I am having trouble understanding how a circuit is completed from the AC power plants over the high voltage power lines. In order for current to flow there must be a "neutral" conductor. I can only conclude that the ground is used somehow to make this current flow. In contrast, the wires...

I was reading through an example question calculating the electric field in a solenoid and it made an assumption that the radial electric field must be equal to zero because there is no excess charge in the system. I don't understand when this is true or even why it is true, any suggestions...

Two very long uniform lines of charge are parallel and separated by 0.3m. Each line of charge has charge per unit length: +5.20*10^-6. What is the magnitude of the force that one charge exerts on a 0.0500m section of the other line of charge? My Attempt Standard formula for the E field of...

Homework Statement "The transformation T from the z-plane to the w-plane is given by w=\frac{1}{Z-2} where Z=x+iy and w=u+iv Show that under T the straight line with equation 2x+y=5 is transformed to a circle in the w-plane with centre \left ( 1,-\frac{1}{2} \right ) and radius...

Homework Statement Well,the problem is such : There are two hydrogen atoms.In each atom electrons were excited to the same energy level.Lifetime of one of the excited electrons is t1,when lifetime of other is t2. The question is : Which on of them had more wider spectral line,when during...

Find the equation of the plane containing each set of lines with symmetric equations below, if no equation exists, prove it. 1. (x-3)/2 = (y+1)/4 = (z-2)/-1 (x-3)/2 = (y+1)/-2 = (z-3)/2 2. (x-1) = (y+3)/2 = (z+3)/3 (x-3)/3 = (y-1)/6 = (z-3)/9 3. (x-2)/2 = y/5 = (z+3)/6...

Just a quick question here. Have I done this correctly? Do I need to factor in the 3 from L? Many thanks. Homework Statement Q. Verify that the lines L: x -2y + 3 = 0 & K: 2x + y = 0 are perpendicular. Homework Equations The Attempt at a Solution x(x) + y(y) = 0 => 1(2) +...

hello, i'm a beginner in programming. i wrote a program to calculate velocity correlation function. i do not get any compilation errors but the lines after line number 42 are not being read. could someone tell me what is it that I'm doing wrong? thanks a lot! svartak !program to...

Homework Statement Determine vector, parametric and, if possible, symmetric equations for the line through Q(2, -1, 3) and the mid-point of the line segment from L(3, -2, 5) to M(1, 4, -7). Homework Equations Midpoint equation=( (x1+x2)/2, (y1+y2)/2, (z1+z2)/2) The Attempt at a...

Are there sky surveys that perform gamma-ray absorption spectroscopy? I was wondering if dark matter might absorb gamma radiation. I have done a simple Bohr-atom type calculation assuming a dark matter model of a bound state of a North and South magnetic monopole and found a Rydberg energy...

I think the title says it all. Scientists use their knowledge to; solve problems, make life easier... and to impress chicks. What are your favourite pick-up lines?

Homework Statement Explain why the electric field is perpendicular to any conducting surfaces in static situations. Is this true in general (i.e. even for changing electric or magnetic fields)? Are there similar conditions on the direction of a magnetic field at the surface of a...

Homework Statement r=2-3cosθ Find the tangent line at any point, and at the point (2,∏) Find the tangent line(s) at the pole Homework Equations Do I have to use x=rcosθ and y=rsinθ to convert it to rectangular to find slopes? The Attempt at a Solution Is the point 2∏ even a...

Homework Statement A line passes through the point (1, -4) and is perpendicular to the line 3x + 2y – 6 = 0. Determine a scalar equation for the line. Was also given this: Find a vector which is normal to the line and then use the dot product of this vector and P0P. Homework Equations...

Homework Statement Determine the field lines of the vector field f: R^3 --> R^3 defined by f(x,y,z) = (x/(1+z2) , y/(x2+y2) , 0) Homework Equations The Attempt at a Solution I know that my vector field is: F(x,y,z) = (x/((1+z^2)*(x^2+y^2))*i + (y/((1+z^2)*(x^2+y^2))*j + 0k I choose...

I am writing my senior thesis on communication networks and this question sort of popped into my head: What determines what frequencies you can use in a landline connection? (e.g. say I have a wire connecting point A to B to send a bunch of signals, what prevents me from using the entire...

I have a property with a 3 phase underground power line. The power line doesn't go near the house but happens to pass directly underneath the shed, which is in the form of a sea container. Whenever I'm working inside the container, I feel sick. The symptoms are similar to those described by...

Hi there, The two given lines: 1) x / 2 = (y-1) / 2 = z 2) x + 1 = y – 2 = (z + 4) / 2 I need to find the common perpendicular between them. Though when I tried to calculate the distance between them, I get 0. Can someone please help? Thanks in advance

Hi there, The two given lines: 1) x / 2 = (y-1) / 2 = z 2) x + 1 = y – 2 = (z + 4) / 2 I need to find the common perpendicular between them. Though when I tried to calculate the distance between them, I get 0. Can someone please help? Thanks in advance

Does anyone know if there is a non-Euclidean geometry(or something like that) where the circle becomes a line or a pair of parallel lines? ...or even where the circle becomes a set of parallel lines? ...i'm doing some work in Guitar Theory and this situation appears... Thanks The...

Homework Statement Draw flow lines of f(x+iy)=x^2-y^2+2ixy Homework Equations n/a The Attempt at a Solution I know the flow is irrotational and sourceless by Cauchy Theorem but I don't know how to draw the flow lines... I'm thinking I might have to parameterize the equation and...