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

    Range Equation: Launching a 78g Basketball at 8.4 m/s

    Homework Statement a 78g basketball is launched at 40.4 degrees at at 14.2m, ball is released at same height as basket. what speed must the player give the ball. Homework Equations deltax = 2(Vo^2)sin(2theta) The Attempt at a Solution 14.2 = 2Vo^2 * (.9871360) / 9.8 69.58 =...
  2. S

    Tangental acceleration from given centripetal acceleration and a range of radii

    Hi, how can I determine the tangental acceleration of a circle needed to produce a given centripetal acceleration from a range of radii? For example, I would like to produce 9.81 m/s/s centripetal acceleration with a range of radii from 5km to 100km? All I really need is to figure out the...
  3. D

    Calculating variance from range

    Hello, I have taken 5 samples and found that my average concentration is 5 mg, with a range of .003 mg in either direction. I would like to calculate the variance with only this information. Is this possible? I am used to calculating the variance from the standard deviation, but I don't...
  4. R

    Method of Image Charges - Range of validity of solutions

    When using the method of image charges to solve a problem in electrostatics, how do we determine the volume of space in which our solution is valid? And how do we find the solution outside this volume? To be more specific, let's consider two examples. The first is the classic point charge above...
  5. D

    Horizontal Range and Maximum Height of a Projectile

    Homework Statement A ball is thrown vertically up from y=0 at time t=0 with vinitial=v0j. Show that the time it takes for the ball to reach the ground is twice the time it takes to reach its maximum height. Homework Equations h=(vi2sinthetai)/2g R=(vi2sin2thetai)/g The Attempt at...
  6. G

    Absorbing extremely narrow range of freq

    A hydrogen atom exposed to a continuum of frequencies will only absorb those frequencies that correspond to allowed transitions of the electron. As I understand it, these absorption lines are very thin. Frequencies only slightly off are not absorbed at all. How difficult would it be to make...
  7. T

    Maximizing range of projectile from some curve

    Homework Statement A projectile is launched from the top of some function (pick one other than a line) For a given speed, find the launch angle to maximize the rangeHomework Equations projectile parabola equation (I haven't figured out latex yet t_t ) y = x*tan(theta) - (g/2)*(x/(...
  8. S

    Confidence intervals and range of possible values

    When i did a business statistics course some time ago, I was able to calculate confidence intervals, but i didn't understand ‘why’ they were calculated in the way they were. I considered that the size of a confidence interval is based on the number of observations and ‘the range of possible...
  9. H

    Projectile Motion - Only given time and range

    Homework Statement If the range of the projectile is 4.14 m, the time-of-flight is T = 0.854 s, and air resistance is negligible, determine the following. (Assume that the acceleration due to gravity has a magnitude of g = 9.80 m/s2.) (a) What is the launch angle of the projectile? (b) What...
  10. S

    What is the relationship between the domain and range of a function?

    Could someone please explain to me what the range and domain of a function is and how to find them? I just don't understand what they mean Thank You
  11. Y

    What is the range of the function f(x)=1-x/(√5+7x-x²)?

    f(x) = \frac{1 - x}{\sqrt{5 + 7x - x^{2}}} I know that the range of that function is (-\infty, 0) U (0, +\infty) But how do I get it? I'm having difficulties in isolating x. Can you explain it to me? Thank you. :)
  12. M

    How To Calculate Range of Values Of A Random Variable (Binomially Distributed)

    1 Calculate the expected value of variable x (or E(x)) (number of trials * probability of success) 2 Calculate the variance (expected value * probability of a failure) Take everything to the right of the decimal in the variance off. Then the range of future values is E(x) plus/minus the variance.
  13. T

    Find the range of the function

    Homework Statement The function f is defined by f(x) = sqrt(7-3x) , x<=1 = 3x^2-4x+3 , x>1 (1) Find the range of f (2) if g(x)=sqrt(7-3x) , h(x)=3x^2-4x+3 in the case where f is continuous , find the composite function hg and state its domain and range. (3) Determine the...
  14. S

    Medical Range and resolution of synaptic connections

    I've been around and around on the net, and had two neuro-physiologists repeatedly dodge the question, so I open it to the wider population... When one speaks of learning one uses the phrase "adjusting synaptic weights", meaning (I presume) changing the strength of a connection between two...
  15. G

    Range of cos(x)=-2: Exploring Critical Points

    Homework Statement Ok so I was trying to find the range of the equation below, commen sense and simply looking at it yields that the range is set of all reals... I however used calculus to find the critical points, I've always been told that there are none when the range is the set of all...
  16. L

    Changing the y axis range in a TH1F in root

    hi, I am plotting a 1D graph in root (TH1F pointer). currently the y-axis gives the number of entries in each bin along my x-axis. how do i change it so that it is actually the number of entries in each bin divided by the total number of entries. thanks
  17. A

    Finding Range of the Projectile

    Hi All, I have a question regarding finding the range of the projectile given the projectile crosses points P1(a,b) and P2(b,a). I know any point on the projectile curve satisfies following equation: y = x.tan \{theta} (1- (range/x)) therefore, the only thing remains to be found out is...
  18. E

    Domain and range can't be negative

    Homework Statement Given f:A→B and g:B→C, let h=g(f(a)) If h is injective, then g is injective. Give a counter example. Homework Equations Injection: Let f:A→B For all f(x1)=f(x2) implies x1=x2 The Attempt at a Solution f(a)=\sqrt{a} from [0, infinity]→[0,infinity]...
  19. A

    Finding the Bases for kernel and range of linear transformation.

    Homework Statement How do I find the bases for both the kernel and range of this linear transformation? Let T: R4 ----> R4 be the linear transformation that takes [1101] and [1011] to [2304] and takes [1110] and [0111] to [3120] a. Find the bases for both the kernel and the range of...
  20. marcus

    SM Higgs ruled out over wide range (26 July announcement)

    "The bottom line is that CDF and D0 can now exclude (at 95% confidence level) the existence of a Standard Model Higgs particle over a fairly wide mass range in the higher mass part of the expected region: from 158 to 175 GeV. If the SM Higgs exists, it appears highly likely that it is in the...
  21. G

    Exploring Range of y=(3x-1)/(2x^2+x-6)

    Homework Statement Find the range of y = (3x-1)/(2x^2 + x - 6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary number during the proess and...
  22. G

    Help me find the range of an equation please

    Homework Statement FIXED :) y = (x^2 -4)/(x^2 - x -12) dy/dx of numerator I got 2x dy/dx of denomenator I got 2x - 1 dy/dx of y I got -(x^2 - 16x -4)/((x-4)^2(x+3)^2) setting numerator to zero and solving got 8 +/- sqrt(65) with the critical value being the + setting denomenator...
  23. R

    Domain and range of a function help

    So I'm skipping pre-cal with full intentions of picking up on AP Calc. Our summer course work is taken from a book called preparing for calculus. After giving me some who-dad that I knew already everything changed in an instant. There's a little gap that isn't quiet filled. A function is...
  24. D

    Angle, range and extension in projectile motion?

    We have a trebuchet which we can adjust the launch angle, and how far the rubber band is pulled back (extension). The rubber band spring constant is constant throughout. I need to find the relationship between the angle of launch and range, and the relationship between the extension and range...
  25. S

    Range of a Matrix Transformation linear algebra

    Homework Statement Given, A = [ 1 -3 4; -3 2 6; 5 -1 -8] b = [b_1; b_2; b_3] Show that there does not exist a solution to Ax = b for every b in R3 and describe the set of all {b1,b2,b3} for which Ax = b does have a solution. Homework Equations row reduction The Attempt...
  26. A

    Bash range with negative and float numbers

    Edit: Why did my thread title change? #!/bin/bash A=0 B=0 while [ $B -lt 90 ] do for (( COUNTER=-4.5; COUNTER<=6; COUNTER+=0.1 )); do ./new3body $A $COUNTER 2 > outangle$A-$COUNTER 2>&1 done B=`echo "$B+1." |bc -l`...
  27. L

    Which concepts in algebra/trig. have a domain and range

    In algebra/trig. what kinds of problems have a domain and a range ? Is this true for anything that can be graphed? Because a lot of the time after you finish a problem in precalc. it then asks for the domain or range, so the question becomes, in mathematics, is it possible to find the domain...
  28. Spinnor

    Range of strong force as strength gets weaker.

    Say we can set the strength of the strong force weaker, can the glouns then range further and further from a quark? Can we eventually get the strong force to look like the electromagnetic force as far as the range of the force is concerned? Thanks for any help!
  29. B

    Solving the Friction Force Puzzle: Range of Acceleration for Slab

    I just realized I don't even have to do this problem, but I've thought too much about it, and at times like this I tend to be a bit OCD. If someone could just get me started on the right track of thought that would be great! Q: In figure...
  30. D

    MATLAB Matlab colormap/colorbar range

    I'm doing some plotting in Matlab where I'm using a third variable of data as a color. For example I have vectors x and y with some sort of values plotted as a scatter plot. I can color the points according to a third vector z by turning on colormap and colorbar (scatter(X,Y,S,C) and use z in...
  31. P

    Finding muzzle velocity using range and height of barrel

    Homework Statement Ok, so pretty much, I built an air cannon for my physics assignment. I need to determine the muzzle velocity. I know the angle of the barrel, the height of the muzzle about the ground and the distance the projectile covered. I fired projectile at multiple pressures in order...
  32. G

    Derivative with a range constraint - mystified

    Homework Statement x=sin(a) / cos(b) a+b < pi/2 a>0, b>0 0<x<1 show that da/dx = cos^3(b)cos(a) / cos(a+b)cos(a-b) The Attempt at a Solution dx/da = cos(a) / cos(b) therefore da/dx = cos(b) / cos(a) =cos^3(b)cos(a) / cos^2(b)cos^2(a) However the denominator of the...
  33. A

    Finding a Linear Transformation with specific domail and range

    Hey, i have an assignment in MATLAB class which is Let L be a linear transformation such that L(1)=(2 -1)' L(1-x)=(1 0)' L(1+x^2)=(1 1)' L(1+x^3)=(1 2)' Determine a matrix in domain such that with the canonical in range, the matrix that represents L has two null columns. I don't know...
  34. L

    Range of electromagnetism

    In a particle physics formalism, electromagnetism can be described in terms of interchange of virtual photons. The range is then c.t = hbar / E with t the lifetime, and E the energy of the virtual particle. What is the argument then, for long range EM interactions, in terms of E? Is it...
  35. T

    Find Range of k for Two Positive Roots of Equation

    Homework Statement Find the range of the number k so that the equation 100^x-10^(x+1)+k=0 has two distinct positive roots Homework Equations The Attempt at a Solution I know if it says for two distinct roots only , k<25 but now its two distinct POSITIVE roots , so how ?
  36. J

    Finding the range of (1-(1/x))^x from x=1 to infinite

    Homework Statement Calculate the range fo the function f:[1,infinite) ->R x maps to (1-(1/x))^x Homework Equations lny=xln(1-(1/x)) lhopitals rule. Basic differentiation of logs The Attempt at a Solution I have worked on this for many many hours now and I am going nuts...
  37. M

    Latitude-longitude coordinate range given radius

    Hello, Is there a formula for calculating a range of latitude-longitude coordinates within a certain radius of a given point? Using ellipsoidal geometry, preferably.
  38. P

    Finding the Domain of f with Restrictions for Range (-2,4)U(4,11)

    Homework Statement For f(x)=((x^(2)-2x-3)/(x-3)), restrict the domain of f(find Dom (f) first) so that Rnage(f)=(-2,4)U(4,11) The Attempt at a Solution I found that when x=3, the function will be undefined. so the domain(f) should be (-infinity,3)U(3,+infinity). I GUESS now I should go...
  39. Y

    Question Fourier half range expansion of function on 0 < x < p

    I am looking into Fourier series expansion of function that is non periodic on 0< x< p. This is under the tittle of "Half range expansion". All the books only talked about even or odd extension of f(x) to -p <x< p using either Fouries cosine series expansion or sine series expansion. But...
  40. L

    Range of speeds of particle confined in box

    1. A proton is confined within an atomic nucleus of diameter 3.80 fm. Estimate the smallest range of speeds you might find for a proton in the nucleus. 2. Uncertainty Principle 3. 3.80fm * mv = h/2 Soliving for h, using mass of proton = 1.67*10-27kg, I obtain v = 5.22*107. Then...
  41. R

    Probability: Determining the distribution and range of a random variable

    Homework Statement The RV X has parameter p>0 and distribution: fX(x) = pxe-px for x \geq 0 and is 0 otherwise (The subscript X is a capital letter, as is the X mentioned below in the e4X) If we are to consider the RV D= e4X, determine the range and distribution fD(d) Homework...
  42. P

    Having difficulty understanding what the Range of a linear transformation is.

    One of the topics in my linear algebra course is kernel and range of a linear transformation. I have a firm understanding of what the kernel is: the set of vectors such that it maps all inputs to the zero vector. Range, however, remains nebulous to me. My textbook says that the range is "THe...
  43. D

    Horizontal range of a projectile

    Homework Statement A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.80 m/s at an angle of 15.0° below the horizontal. It strikes the ground 6.00 s later. (a) How far horizontally from the base of the building does the ball strike the...
  44. T

    What is the range of the composite function gf(A)=C?

    Homework Statement The sets A and B are defined respectively by A={x\in R : 0\leq x\leq 1} B={x\in R : 1\leq x\leq 2} and the functions f and g are defined respectively by f(x)=x^2-2x+2 g(x)=\frac{x+2}{x-1} where f(A)=B , g(B)=C with C as the range of the function g ...
  45. B

    Students were testing their hearing range

    In an experiment, students were testing their hearing range and found that it averaged about 25 Hz to 18 000 Hz. What are the wavelengths of sound waves producing these frequencies in air where the speed of sound is 343 m/s? Would I use the formula wavelength= velocity/ frequency...
  46. T

    Range & Domain of f & g: Find, Domain & Range

    Homework Statement Given two functions f(x)=\frac{x}{x+1} , g(x)=\frac{x+2}{x} (1) find the domain of f and g so D_f all real x , x\neq -1 D_g is all real x , x\neq 0 (2) Find the composite function gf and state its domain and range g o f = 3+ 2/x , then its domain would...
  47. W

    Design a Series Multi-Range Voltmeter: 0-3V, 0-9V, 0-30V

    how to design a series multi-range voltmeter with its voltage range is given but its value of full scale deflection current (I fsd) and internal resistance (R m) is not given? the voltage range given is 0-3V, 0-9V and 0-30V. since to find the value of every single multiplier resistor is: R...
  48. K

    Calculating Balloon Range and Altitude

    I feel kinda stupid asking this, since I have a bachelor's degree in physics. But, here it goes: I'm doing a thought experiment on my own (i.e., not a homework problem) for a hypothetical vacuum airship. I've determined the following quantities: V_displaced = 15 m^3 m = 13.5 kg F_net =...
  49. F

    Range of wavelength from white light through a diffraction grating

    Homework Statement A narrow beam of collimated white light falls at normal incidence upon a transmission grating with 3150 lines per cm. A spectrum is formed by the grating on a screen 30 cm away. If a 1 cm square hole is cut in the screen its inner edge being 5 cm from the zeroth order...
  50. fluidistic

    Range of validity of Maxwell's equations with charges

    Maxwell's equations with charges can be written as the following (in the cgs system): \frac{\partial \vec E}{\partial t} =c \vec \nabla \wedge \vec B-4\pi \vec J. \frac{\partial \vec B}{\partial t} =-c \vec \nabla \wedge \vec E. \vec \nabla \cdot \vec E =4 \pi \rho. \vec \nabla \cdot \vec...
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