What is Range: Definition and 1000 Discussions

The Land Rover Range Rover (generally known simply as the Range Rover) is a 4x4 motor car produced by Land Rover, a marque and sub-brand of Jaguar Land Rover. The Range Rover line was launched in 1970 by British Leyland and is now in its fourth generation.
Additional models have been launched under the Range Rover name, including the Range Rover Sport, Range Rover Evoque, and Range Rover Velar.

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  1. D

    What is the final term in the distance formula for maximum range?

    Hey guys, I was hoping somebody might help me; I'm really confused. I obtained the formula for distance, which is this: d=[(2[v_0]^2(cos[alpha])sin([alpha-beta])]/gcos^2(beta) And the derivative for distance, which is this: derivative of d with respect to...
  2. PrincePhoenix

    What is the range of a rational function?

    Homework Statement The following equation defines a rational function.Find its Range f(x) = x2/(x-1) The attempt at a solution Let y = x2/(x-1) =>y(x-1) = x2 =>xy-y = x2 =>x2-xy+y = 0 comparing with the general form of quadratic equation ax2+bx+c = 0, a=1, b=-y, c=y...
  3. N

    The proton flux in Solar System in keV range

    Dear Forum Users, I am looking for a database of proton fluxes. I have found already the SOHO database: http://umtof.umd.edu/pm/ but I need also the database for energy range of 1keV to 100 keV range. Does someone could send me some hints where to search? nykon
  4. M

    Standard deviation and interquartile range

    Homework Statement There are 10 observations. (a) Suppose the IQR is 8. Is it possible that the standard deviation is 1? (b) Suppose the standard deviation is 8. Is it possible that the IQR is 1? Homework Equations IQR = R3 - R1 The Attempt at a Solution My argument is that (a)...
  5. G

    Finding Basis of Null Space and Range

    Homework Statement Prove T is a linear transformation and find bases for both N(T) and R(T). Homework Equations The Attempt at a Solution T:M2x3(F) \rightarrow M2x2(F) defined by: T(a11 a12 a13) (a21 a22 a23) (this is one matrix) = (2a11-a12 a13+2a12)...
  6. S

    How do you find the range of 1/{(x-1)(x+2)} for [0, 6]?

    Homework Statement Need to find the range of 1/{(x-1)(x+2)} for [0, 6] Homework Equations The Attempt at a Solution The domain is [0, 1) AND (1, 6] because 1/0 is an invalid operation. So I tried and this is what I got: [-0.5, ∞) and [0.025, ∞). Wrong, of course :) How do I go...
  7. R

    Proof regarding Range of linear maps

    Homework Statement Prove that if T, S : V -> W are linear and W is finite dimensional then dim (range(S + T)) <= dim range S + dim range T Homework Equations The Attempt at a Solution I know that the dim range S + dim range T can be at most 2 * dim W. However, I'm a little...
  8. E

    Domain and range of the function (arctan(ln(sqrtx)-1)))^3

    Homework Statement f(x) = (arctan(ln(sqrtx - 1)))^3 Homework Equations domain of arctan: all real numbers range of arctan: -∏/2, ∏/2 The Attempt at a Solution I know that domain is x>0 when x ≠ 1, because I need a positive number to go under the radical and the natural log of 0 is...
  9. I

    Finding the x range using curvilinear motion

    Homework Statement The car passes point A with a speed of 25 m/s after which its speed is defined by V = (25-0.15s)m/s. Determine the magnitude of the car's acceleration when it reaches point B, where S = 51.5 m. (the max height of the hill is 16 m, and the function of the hill the car is...
  10. J

    Calculating Range of a Cannon at an Angle

    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...
  11. N

    Free Spectral Range in wavelength

    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...
  12. J

    Finding the Range of Graphs: f(x) = ex2 and g(x) = x2 + 3ex2

    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) =...
  13. mheslep

    Max aircraft range - electric powered

    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...
  14. G

    Domain and range of composite function

    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...
  15. S

    Finding the range space of a matrix

    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...
  16. C

    Throwing Apricots: Calculating Range of Impact

    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...
  17. T

    Relations between Angle of Launch, Range & Flight Time

    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?
  18. L

    What is the range of x for positive values in f(x) = x^2 -2x -3?

    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!
  19. B

    Why do gluons and W and Z bosons have a limited range?

    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?
  20. J

    Integrating the Bethe-Bloch Equation to Find the Range

    My question is taking the Bethe-Bloch equation and integrating to find the range of an energetic Deuteron. I first have the Bethe-Bloch equation, \frac{dE}{dx} = -\rho 0.1535 \frac{Z_{p}^{2}}{\beta^{2}} \left(\frac{Z_{A}}{A}\right) \left[ln\left(\frac{2 M_{e} c^{2} \beta^{2}}{IE\left(1 -...
  21. C

    Challenge problem to the community - - - domain and range

    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
  22. C

    What are the domain and range of this relation

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

    Estimate the average values of ΔH and ΔS in this temperature range

    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...
  24. S

    Help me decide with a mid range physic project

    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...
  25. L

    Question: # of particles within an energy range below Fermi Energy.

    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...
  26. R

    Find theta given range, height, and projectile velocity

    Homework Statement If a trajectory is shot at angle theta at a fixed projectile velocity of 50 m/s, what angle(s) could it be shot so that it just makes it over a wall 30 meters high, 220 meters down the path. Homework Equations d=1/2at^2+vt sinx*v=vertical component...
  27. N

    Range of alpha particles in a silicon detector

    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...
  28. G

    Determine Range of a and b for Controllability and Observability

    Homework Statement The following two gain equations are given (G is the forward-path gain; H is presumably the feedback gain): G(s) = \frac{s + 3}{s^{3} + 2s^{2} + as + 1} ; H(s) = \frac{s + b}{s + 5} The question asks that the range of values for a and b be determined such that the...
  29. T

    How would the arcsin function look like without a restricted range?

    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
  30. C

    Relationship between antenna gain and range

    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...
  31. T

    Continuous Function with Open Range

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

    Calculating Quantum States in Energy Range: Proving g(E)dE Equation

    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
  33. S

    Confusion regarding the basis of A and the basis of Range of A

    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?
  34. Z

    Wave Function in specific range

    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...
  35. N

    Distance Sensor for 100m Range: Small Size (15cm^3)

    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
  36. D

    Is xp(x) in the Range of T for Given Polynomials?

    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...
  37. K

    Infrared Wave Length & Working Range

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

    Maximizing Range for projectile motion

    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 ...
  39. S

    Projectile Motion Lab: Angle of Maximum Range

    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...
  40. B

    Aerodynamic : Dual Range Force Sensor Needed

    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...
  41. M

    Higher order terms of Range Kutta for SPH?

    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...
  42. C

    What is the Range of a Function with Rule F(x) = x^2 - 1 on the Interval [-2,5]?

    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?
  43. I

    Solving for Range of Angles & Max Height of Dog Jump

    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...
  44. Z

    Domain / range of this function

    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...
  45. M

    How can I improve the range of my AM transmitter?

    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...
  46. C

    Maximum and Range of the Equation (Calc.)

    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...
  47. W

    Rewrite as piecewise + domain + range?

    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...
  48. G

    Physics projectile problem - finding vertical range using the horizontal range

    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...
  49. Q

    Finding the horizontal range of a projectile when maximum height is not known

    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...
  50. L

    Why Does Setting the Derivative to Zero Find the Max Range in Projectile Motion?

    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...
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