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. T

    Estimate for the change in range for a proton

    Homework Statement I've uploaded the question in the attached file. Homework Equations R ∝ 1/p R ∝ M/z2 The Attempt at a Solution I don't understand what is in my lecture notes. What equations do I need to attempt this question? Thank you.
  2. Spin One

    I Eigenkets belonging to a range of eigenvalues

    When one wants to represent a general ket in a basis consisting of eigenkets each attributed to an eigenvalue in a range, say from a to b, why does one take the integral of said kets from a to b w.r.t. the eigenvalues? I understand that the integral here plays a role analogous to a sum in the...
  3. F

    Infrared Cameras Spectral Range and Derived Temperature

    Hello Forum, I am wondering why infrared cameras can only detect radiation between 1micron to 15micron. This clearly depends on the sensor's material. Based on Wien's law, this corresponds to temperatures from -79C to 89C. Are infrared cameras only detecting within this spectral range because...
  4. M

    Calculate the Max Detection Radar Range

    Homework Statement I am asked to find the Max detection range of the following radar system: Transmitter Power, Pt = 10Kw RCS = 1 m sq. Frequency = 3Ghz Losses, Ls = 5dB radar dish radius, r = .5m Noise level, N = -140dbW SNR= 13 dB Homework Equations Radar Max range =...
  5. C

    Order of multi-variable integration of infinite range

    Homework Statement If the Green's function of the electric field in a system is G(x,x')=e^{-i(x-x')^2} I want to calculate the phase of the electric field at x if the source is uniformly distributed at x'=-\infty to x'=\infty Homework EquationsThe Attempt at a Solution Then, the phase of...
  6. P

    Cooling Tower Range and Approach Relationship

    Hello folks, got a question regarding cooling tower I will like to understand. I got some performance data from some cooling tower makers on the condition of how the cooling tower will operate at different wet bulb temperature. Assumeing flow and fan power is constant, what i observe was the...
  7. Lukeblackhill

    Can you see a pattern in the range and time of flight of mortar shells?

    Morning Mates, This problem of Berkeley Physics Course, Vol.1 - Chap. 3, says, "Range of mortar shells. The following are experimental data on the range and muzzle velocity of mortar shells, all fired at 4.5 0 to the horizontal. The time of flight is also included. Compare these ranges and...
  8. S

    Relationship between Launch height and range of a projectile

    Homework Statement In a practical that we conducted, we were investigating the relationship between Launch height and the range (horizontal distance it travels) of a projectile. We launched a projectile from various heights and measured the horizontal range it traveled before reaching the...
  9. S

    B Relationship between launch height and range

    In a projectile motion practical, we had to investigate the relationship between launch of projectile and the range it travels. Increasing the height will obviously increase the range. However, we are trying to understand why it does in a more scientific way. We already know that increasing...
  10. vcm1992

    Find Initial Velocity Given Height, Range, and Initial Angle

    Homework Statement So! The problem states that a grasshopper jumps from the edge of a table. We know that x-initial is zero and x-final is 1.06m. This is how far he jumped from the origin. The height of the table is unknown, but we know that the height of the grasshoppers jump with respect...
  11. parazit

    I Stopping Power and Range units for charged particles

    Dear members, The unit of stopping power is given as Mev/cm in many sources. It is easy to comprehend this unit.The mass stopping power, which is the total energy lost per path length by a charged particle, is defined as the division of MeV/cm to the density of investigated material, g/cm3, and...
  12. opus

    Domain and Range of a Function and Its Inverse- Polynomials

    Homework Statement Consider the function ##f\left(x\right)=\sqrt {x+2}##. Determine if the function is a one-to-one function, If so, find ##f^{-1}\left(x\right)## and state the domain and range of ##f\left(x\right)## and ##f^{-1}\left(x\right)## Homework Equations N/A The Attempt at a...
  13. Alex Schmitt

    How to make a short range, remote-controlled electromagnet?

    I am currently working on my high school's upcoming production of Beauty and the Beast. In the musical, there is a rose which loses petals at specific moments in the script that represent the castle's inhabitants slowly becoming less human. I figured that one of the best ways to do this remotely...
  14. Richie Smash

    Suitable range of values for x

    Homework Statement There is a function y= 3+x-2x2 X values are as follows: -3, -2, -1, 0, 1, 2, 3. Y values are as follows:-18, -7, 0, 3, 2, -3,-12. Each x value corresponds to the y value below it after going through the function. I have plotted a graph using a scale of 1 cm on the Y axis...
  15. D

    B Domain and the codomain of a composite function

    So, I'm a bit confused. The thing is, basically, all elementary functions are of the form ƒ:ℝ→ℝ. So the domain is ℝ and so is the codomain. However, if we have a function ƒ:ℝ→ℝ, given with f(x) = √x, it's domain is now x≥0. So, is the domain of this function ℝ or [0,+∞>? Also, let's say we have...
  16. A

    Measuring Range Extension "homework"

    a) dimension the moving-coil movement so that it indicates full deflection at 25 V given Values: Voltage Source: U2Max = 25V; moving-coil movement: IM = 100µA; UM = 270mV Rv = ( U2Max - UM ) / IM = (25V - 270mV) / 100 µA = 247,3kΩ b) the internal resistance is increased by 20 %...
  17. J

    Prove f(x) is zero in range [-1,1]

    Homework Statement A function f(x) is continuous in the range [-1,1] f(x) = 2xf(x2 - 1) Prove that f(x) = 0 everywhere in range [-1,1] Homework Equations I don't know how to proceed. By putting values as x = 0, I got f(0) = 2*0 = 0. f(1) = 2*1*f(0) = 0. And I also get f(negative values) =...
  18. D

    Flight Mechanics - Range and Payload calculations

    Homework Statement Assume that m(fuel, climb) = 1300kg is the mass of fuel required for the climb to the cruising altitude of 10,000m, independently of the take-off weight. Assume that the distance covered during the climb is always 100km. Consider the typical payload-range diagram shown and...
  19. E

    How to increase 5GHz wireless range for RT-AC68U

    Hi, I'm new to the forum and i am encountering a problem with my wifi router I am using RT-AC68U in a house that farthest place to the router is about 15 meter away but with 3 walls between it and my cellphone. I am getting weak signal and sometimes it disconnects from 5GHz band but 2.4GHz is...
  20. M

    MHB Range of Rational Function

    Find the range of f(x) = 2/(x - 3). 1. What exactly are we looking for when we say RANGE of a rational function? 2. Is the domain of the inverse the range of the given function? 3. What is the easiest way to find the range? Graphing?
  21. A

    Derive a general expression for range when launch angle=0

    1. The problem statement, all variables, and given/known data Homework Equations The Attempt at a Solution So basically I took vertical direction formula and I solved for "t". I then took the horizontal direction formula and solved for "x" or we can also call x the "Range" since that's...
  22. A

    I Angle of projection for maximum range

    Hi, I can't seem to work out how angle of projection for maximum range comes out to be (pi/4 - Beta/2) This happens when the projectile is protected up the inclined plane. Similarly, I couldn't understand how the angle comes out to be (pi/4 + Beta/2) when the projectile is protected down the...
  23. Cosmophile

    How Many Sig Figs Given Error Range?

    Homework Statement "A calculator displays a result as 1.3250780 x10^7 kg. The estimated uncertainty in the result is +/- 2%. How many digits should be included when the result is written?" Homework Equations I'm not sure that there are any relevant equations here, aside from (maybe) Actual...
  24. E

    Optimal Angle and Horizontal Range of a Bottle Rocket Projectile

    Homework Statement [/B] A bottle rocket can shoot its projectile vertically to a height of 26.0m. At what angle should the bottle rocket be fired to reach its maximum horizontal range, and what is that range? (You can ignore air resistance). Homework Equations The Attempt at a Solution [/B]...
  25. G

    Projectile Motion Max Height and Range

    Homework Statement A projectile is launched with initial speed v0 and angle θ over level ground. The projectile's maximum height H and horizontal range R are related by the equation R = 4H. Write an expression for the launch angle of the projectile. Homework Equations R=4H Vxo=Vocos(θ)...
  26. H

    What is the expected coverage range for my FM radio station in Lahore, Pakistan?

    Hello, I am from Lahore, Pakistan, I have obtained a FM transmission License in Lahore. and i am about to set my radio station here in few days. i have ordered the equipment which will reach here in 5-7 days more... here i am going to give you my broadcasting equipment details: now i am curious...
  27. H Psi equal E Psi

    In which temperature range does WF_6 melt?

    Hi Everyone I'm studying material Engineering and I'm currently preparing chemistry for the summer exams. Now, there is an old exam question which I don't know how to solve: "In which temperature range does ##[W^{+VI}F_{6}^{-I}]## melt?" My solution: Well, the 18-Electron rule is not...
  28. M

    MHB How can I find the range of a hyperbolic curve using its graph?

    Find the range using the graph of y. y = 1/x This function is weird. It has a curve in quadrants 1 and 3 that does not cross the lines y = 0 and x = 0. How can I determine the range of such a graph?
  29. M

    MHB Exploring the Range of Functions: Solving for Inverse and Restrictions

    Find the range algebraically. y = 1/x Find inverse of y. x = 1/y Solve for y. yx = (1/y)(y) yx = 1 y = 1/x f^(-1) x = 1/x The domain of f^(-1) x is ALL REAL NUMBERS except that x cannot be 0. So, the range of y = 1/x is ALL REAL NUMBERS except that y cannot be 0. Correct?
  30. M

    MHB Finding the Range of a Function Using Graphs

    Set 3.1 Question 16. Find the range using the graph of y. y = 125 - 12x^3 Obviously, I must graph the function as step one. How is the graph used to find the range?
  31. M

    MHB How can inverse functions help us find the range algebraically?

    Find the range algebraically. y = 125 - 12x There is a way to do this by finding the inverse function. Can someone show me how to apply the idea of inverse functions to find the range?
  32. SetepenSeth

    Linear Algebra - Kernel and range of T

    Homework Statement Let ##T:M_2 \to M_2## a linear transformation defined by ##T \begin{bmatrix} a&b\\ c&d \end{bmatrix} = \begin{bmatrix} a&0\\ 0&d \end{bmatrix}## Describe ##ker(T)## and ##range(T)##, and find their basis. Homework Equations For a linear transformation ##T:V\to W##...
  33. W

    Mathematica Add a rectangle to a plot to indicate range

    I have some data points that I want to plot and suppose I have the function ##f(x) = x##, with the domain having the range ##0\leq x \leq 10##. Assume that the experimental values lies in the range ##4\leq x \leq 7##, how can I put a rectangular region to cover this range behind my plot so as to...
  34. M

    How to convert Audio output jack signal to 5V range?

    Hi Guys, Can Some one Help me to Figure Out how can i Convert Voice Signal from 3.5mm Jack to Voltage. Though the voice signal has low signal strength can i boost it using amplifer and to get output in Voltage what is the Process i am not figuring out the perfect way. Sugest me your Option...
  35. M

    MHB Range of Rational Functions....3

    Find the range of y = sqrt{2x - 4}. I need the steps. According to the textbook, graphing the function leads to finding the range. This may be true for others but not for me. I am not clear on the range idea.
  36. M

    MHB Range of Rational Functions....2

    Find the range of y = (x + 2)/(x - 2). I need the steps. According to the textbook, graphing the function leads to finding the range. This may be true for others but not for me. I am not clear on the range idea.
  37. M

    MHB Range of Rational Functions....1

    Finding the range of functions can be complicated. Rational functions can be complicated. I have a terribly hard time finding the range of functions. Find the range of y = 1/(x + 4). How is this done? I want the steps.
  38. SSequence

    Busy Beaver Function: Range of BB Sets

    I searched a bit before posting this question just in case to see if I was missing something obvious. I didn't see a direct or clear answer which I could easily understand/decipher. I feel that it is a fairly entertaining problem at any rate. The question is really simple. Let bb:N→N denote the...
  39. P

    Formula for bending a rod in the elastic range

    Is there a formula to calculate the radius that a rod of a given radius can be bent around while staying in the elastic range? For example, if I had a rod that was 1/4" in diameter and made of HDPE (which I think has a modulus of elasticity of 0.8 GPa), how would I calculate the minimum radius...
  40. P

    Formula for bending a rod in the elastic range

    Is there a formula to calculate the radius that a rod of a given radius can be bent around while staying in the elastic range? For example, if I had a rod that was 1/4" in diameter and made of HDPE (which I think has a modulus of elasticity of 0.8 GPa), how would I calculate the minimum radius...
  41. Martin Beer

    Dittus Boelter coefficient M range

    Hello, I am doing Dittus Boelter correlation for Nusselt number accroding to my measured data. Coefficient (or constant) M that is related to Re has (in my case) value of 1.12. Is it physically possible to get value greater than 1? In my previous research, I've only met with a value of less than...
  42. Pushoam

    Range of frequency of electromagnetic waves

    Theoretically speaking, does the frequency of em wave range from 0 to infinity?
  43. O

    What is the relationship between frequency range and GBW in amplifiers?

    I have an op-amp with frequency range 20Hz - 20kHz. Is frequency range the same as bandwidth?
  44. M

    "Immortal" jellyfish habitat range, Turritopsis dohrnii?

    What is the current habitat range of Turritopsis dohrnii or the "immortal" jellyfish? I know that there are multiple species of the Turritopsis genus and that the species dohrnii have recently increased its range by ballast water spread. What is the current range of the exact species dohrnii?
  45. quantumdude

    A Estimation of Hurst Exponent Using Rescaled Range

    Hey folks, long time no see! :woot: I am trying to estimate the Hurst Exponent for financial data using the R/σ (Rescaled Range) method. I have no authoritative source for this method. All I have are web pages (and we know how accurate those are). Specifically, I've been using the following...
  46. M

    Determining the range of a controller for a stable system

    Homework Statement The controller K(s) = Kp, determine the range of Kp over which the closed loop system is stable. Homework Equations I found the transfer function of system = Y(s)/V(s)=Kp/(1.5s^2 + 2.5s - 1 + Kp) The Attempt at a Solution So i know (1.5s^2 + 2.5s - 1 + Kp) is the...
  47. W

    Finding the Range of an Integrated Function with Given Constraints

    Homework Statement Let ##g(x) = \int_0^xf(t) dt## where ##f## is such that ##\frac{1}{2} \leq f(t) \leq 1## for ##t \in [0,1]## and ##\frac{1}{2} \geq f(t) \geq 0## for ##t \in (1,2]##. Then ##g(2)## belongs to interval A. ##[\frac{-3}{2}, \frac{1}{2}]## B. ##[0, 2)## C. ##(\frac{3}{2}...
  48. JulienB

    Calculating Planck's integral for finite range of wavelength

    Homework Statement Hi everybody! I am asked to calculate how much of the total radiated power of a light bulb at temperature ##T=2300##K is contained within ##400##nm and ##750##nm. I am also given the average emissivity of tungsten ##\epsilon_\text{ave}=0.288## and the emissivity within the...
  49. M

    Probability observed value not in range for prediction

    Homework Statement Hello all, I created a predictive model from a data set of observed values and am looking for probabilities for accuracy. Data set A (observed) and data set B (predictive model) have a correlation of 84 % using linear regression. Data set A and B are both normally...
  50. Bunny-chan

    Projectiles launched at complementary angles

    Homework Statement a) Show that for a given velocity V_0 a projectile can reach the same range R from two different angles \theta = 45 + \delta and \theta = 45 - \delta, as long as R doesn't go over the maximum range R_{max} = \frac{V_0^2}{g}. Calculate \delta in function of V_0 and R. b)...
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