Range Definition and 979 Threads

Homework Statement A cannon fires projectiles on a flat range at fixed speed but with variable angle. The maximum range of the cannon is L. What is the range of the cannon when it fires at an angle \frac{\pi}{6} above the horizontal? Ignore air resistance. Homework Equations Four...

Homework Statement Hi The FSR of a laser with length L is given by Δv = c/2L. If I want to find what Δv is in wavelength, then how do I do this? Obviously I need c=vλ, from which we know that Δv/v = Δλ/λ. But the last equation I can't apply to this case, since it refers to errors around...

Homework Statement f(x) = ex2 find the range of f(x) How do I do this - I don't know how to draw this graph?g(x) = x2 + 3ex2 Again, how is this done without drawing the graph?Homework Equations The Attempt at a Solution so for the first graph, for example, I differentiated it dy/dx for f(x) =...

I'm trying to come up with some ballpark ranges for RC electric powered aircraft. The literature I find so far on range, like the Breguet range equation, seems focused on mass change from fuel consumption which is not the case in battery powered electric aircraft. So I thought I would start...

Homework Statement The function f has domain (-∞, ∞) and is defined by f(x) = 3e2x. The function g has domain (0, ∞) and is defined by g(x) = ln 4x. (a) Write down the domain and range of f∘g. (b) Solve the equation (f∘g)(x) = 12 2. The attempt at a solution (a) Is it correct...

Homework Statement Represent the linear span of the four vectors x_1 = (-1,1,1,2), x_2 = (2,1,7,1), x_3 = (3,-2,0,5), and x_4 = (1,0,2,1) as the range space of some matrix. The Attempt at a Solution It's been along while since I've done any linear algebra and so I'm not sure what to do...

Homework Statement A young student, dissatisfied with simply dropping fruit, decides to throw an apricot off a cliff. The apricot leaves the top of the cliff at a speed of 25 m/s and at an angle of 50° above the horizon. If the cliff is 310m tall, how far down range is the fruit when it hits...

1. How do angle of launch, range, and flight time relate to one each other? 2.ΔX=vcosθ*t [b]3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?

1. Plot the graph of thefunction f(x) = x^2 -2x -3 and determine the range of x for which the function is positive x^2 -2x - 3 (x+1) (x-3) = 0 x = -1 and x = 3 Range -1, 3 <--- I am not sure am I right? Cheers!

Why do the gluon and W and Z boson particles have a limited range of movement, 10-15m for the gluon and 10-18m for the W and Z bosons, when the photon particles, gravitational force, and other particles have no limit to the distance they can travel?

What are the domain and range of the following: (Note: It is a relation that is not a function.) y^2(x^2 - 1) = x^4

in interval notation? y^2(x^2 - 1) = x^4 (This is my own problem.)

Homework Statement The isomerization of 1-butene and trans-2-butene occurs as shown in the table at selected temperatures. Estimate the average values of ΔH and ΔS in this temperature range. T/Kelvins....K 883.... 1.10 826.... 1.20 779.... 1.36 733.... 1.49 702.....1.63 686.....1.72 The...

Homework Statement Hi guys. Recently, my physics' teacher told my class to make an experiment from any of the themes which are covered in the period. I need some ideas in which I can make something, somewhat good and not easy looking, but at the same time not very budget consuming...

Homework Statement Here's what the question says. "Consider a cube of gold 1 mm on an edge. calculate the approximate number of conduction electrons in this cube whose energies lie in the range from 4.000 to 4.025 at 300k. Assume Ef(300K) = Ef(0)." Homework Equations Well, I know...

Hi, I'm trying to find the range of α-particles in silicon; I can work out the stopping power, \frac{dE}{dx}, but the reference I'm using then states that I need to integrate it as follows: R=\int_T^0 (-\frac{dE}{dx} ) ^{-1} dE The thing is, I'm not sure as to how to even start this...

I need help. I'm totally puzzled. How would the arcsin function look like without a restricted range? Can anyone post an image? http://img94.imageshack.us/img94/9886/arcsin.png

Im trying to expand the range of my wifi network, and I am not sure exactly what to expect from a +27 dbi antenna. As I understand it, this will cause the power density to increase by a factor of 2^9. Does that mean the range will increase by a factor of 2^9? or would it be more like...

What is an example of a continuous function f:\mathbb{R}\to\mathbb{R} such that f(\mathbb{R}) is open?

How to calculate number of quantumstaes or unit cells within energy range E and E+dE in the phase space to prove the eqn: g(E)dE=[(8π√2V)/h^3]*m^(3/2)√EdE

Hello everyone, I am having difficulty understanding the difference between the basis of a subspace A and and the basis of the range of A. My textbook seems to follow the same approach in determining both. So are they essentially the same?

I obtained the following from a book. Question is: Periodic Sawtooth described by the following; f(x) = x/2∏ for 0<x<2∏ f(x+2∏) = f(x) for -∞<x<+∞ The solution is: If x = 0 y = 0 If x = 2∏ y = 2∏/2∏ = 1 If x = 4∏ y = f(2∏+2∏) = 2∏ = 1 Can anyone...

Hello, I'm looking for a distance sensor for range of 100 meters (neutral surface). The sensor should be small (15cm^3). Do you have any recommendations? thanks Nir

Homework Statement Let T: P2-P3 be the linear transformation defined by T(p(x)) = xp(x). Which of the following are in R(T)? (a) x2 (b) 0 (c) 1 + x Homework Equations R(T) is the the set of all vectors in P3 which are images under T of vectors in P2. The Attempt at a Solution...

i want to know about wave length of infarade wave and working range

I am taking an online intro to physics course and was required to watch lecture videos. My prof tells me to maximize my range by differentiating the function. My calculus is a bit rusty could someone refreshen my memory of how to do this? I believe i am solving for α. (dΔx/ dα) = 0 ...

Hello, I have a couple of questions regarding a projectile motion lab I'm working on. The lab involved launching a ball from a mechanical launcher at a certain height and recording/calculating some values. So I found that the angle of maximum range decreases as the launch height increases...

http://farm7.static.flickr.com/6125/6203213456_7daabe9662.jpg" This is my first post and I've never been here so I'm not sure this is where i should post my question, but if I'm wrong, pls correct me. This force sensor is to load my truck ontop of that shaft to determine it's drag force...

I am using smooth-particle hydrodymamics(SPH) method to model a deformable object. It is based on the procedure found in Markus Gross's point based animation book, the algorithm is attached in the image below. This algorithm uses Euler for numerical integration as seen in step 21 and 22, and...

Let F: [-2,5] --> R be function with rule F(x) = x^2 - 1. Show range of F = [-1,24]. I get that 5^2 = 25 - 1 = 24, but how does one get the lower bound of the range to be -1?

Homework Statement The question is as following: a) A dog in a stunt takes a jump off a rook which is 40 m high above the ground and lands on the next building which is of the same height , the gap between the two buildings is 6m @ the velocity of 8 m/s .Find the range of angles at which he...

Homework Statement I don't remember the exact question right now, but it was something like this: f(x) = sqrt(4 - x^2) I needed to give the domain / range of it, and also symmetry I believe. Homework Equations The Attempt at a Solution I know this is a half circle after...

Hello, I have built an AM transmitter and now I can only receive signal within just 1m radius of the transmitter. I use a colpitt oscillator to get a carrier of 740khz. For the modulating signal I'm using a 1khz tone from a signal generator although I've also used an electret microphone. I am...

Homework Statement Hello, I ran into this problem in the middle of my physics homework: Using calculus, you can find a function’s maximum or minimum by differentiating and setting the result to zero. Do this for equation y = (u^2 / g)*sin(2x), differentiating with respect to x, and thus find...

Homework Statement 1. Rewrite as piecewise: g(x) = 2x - |3x-2| 2. Give domain and equation represented by f(g(x)) when g(x) = √(x+1) and f(x) = 3/x 3. Give range of P(x) = {2x-1, x >/= 1 {x^2 + 1, -1 </= x < 1 {√|x|, x<-1 thanks in advance Homework Equations The Attempt at...

Homework Statement What is the maximum vertical height to which a baseball player can throw a ball if his maximum throwing range is 54 m? vertical: a=9.8 m/s/s, Vyo=0 m/s, d=?, t=? horizontal: d=54 m, a=0 m/s/s, Vxo=?, t=? Homework Equations d=Vo*t+.5*a*t^2 The Attempt at a...

Homework Statement A projectile is launched with an velocity of 40 m/s and crosses a tower of height 20.4 m after 2 seconds. Find the angle of projection with the horizontal and the horizontal range. Homework Equations S = ut - 1/2 gt2 where S is the distance, u = 40 Sin\Theta and g...

Homework Statement After i get the formula x = Vo2sin(2θ)/g, I was told that I can take the derivative of x and let that equal to zero to get the max range of the projectile. Why? What does taking the derivative do in order to help us find the max angle? I know that the value of the derivative...

Hello everyone, Is there such a thing as range graph as a function of the energy for the neutrons in matter? I have been looking for it all over the web, but I just found the cross sections plotted when the neutron comes from different reactions. Is there a more general graph that discribes the...

Homework Statement A projectile is thrown from the top of the ramp. Find the angle \theta of the throw that gives a max range R down the ramp. \phi is the angle made from the base of the ramp to the x-axis. 2. The attempt at a solution Tried a number of times but failed to get anything that...

Homework Statement In this example, the range is stated to be z=[0,3]. It shows 9-x^2-y^2<=9 which implies sqrt(9-x^2-y^2)<=3 But why don't we consider -3 as well? Thanks

how can I find the range of the function ?? I don't know a method to get the range of any function without the graph. But all I can say that for some functions I can get its range by first computing the inverse of the function , and this is the problem itself because in sometimes when computing...

Homework Statement How to prove that: the range of a square matrix A (linear transformation) to the power of n+1 is a subspace of the Range of A to the power n, for all n >= 1? i.e. Range (A^(n+1)) is a subspace of Range (A^n) Homework Equations The Attempt at a Solution I...

Homework Statement Let x \in RN, y \in RM & A \in RMxN be a matrix. Denote the columns of A by Ak, k = 1,...,N. Let R(A) & N(A) be the range & null space of A respectively. a) How do the colmuns of A relate to the range of A? b) Your task is to find the solution to the problem y = Ax, where...

Hi. At what temperature range can brittle fracture be expected in low carbon steels? Are there other parameters which govern its occurance? Thanks.

I understand that the Schrodinger equation describes the behaviour of matter and the electromagnetic wave down to the microscopic scale. But I'm not sure about the everyday sound waves, water waves, wave on a spring, etc. What do you think?

i am working on my project but i do not have much practical experience on connecting the circuit, hence asking for help here. ok here's my problem. i have a temperature sensor LM35 which its Vout = 10mV/˚C. the output of the temperature sensor has to be connected to PLC input. when the...

There are rumors circulating recently on various forums on the internet that a net made of coiled up silver wires increases the efficiency of a gas range when placed on top of the gas burner while fuel is being burned. According to what manufacturers claim, this is done by using the reaction of...

Hello guys, I am totally new to EE and in need of info on a project I am working on. I am trying to broadcast a short range signal and the distance the signal can travel needs to be limited. So let's say I want the signal to reach up to 600ft. I need it not to be easily received by other...

Let's say, a missile fired from ground level is limited in range by aerodynamic and drag factors upto 3 kms. So how would that range be altered if the missile is fired from an altitude of 5 kms above mean sea level? What are the factors we need to take into consideration to calculate its range...