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. Avatrin

    Domain and range of complex functions

    If I am given a function: f(z) = w(x,y) = u(x,y) + iv(x,y) How do I find the domain and range of that function? Are there any good lectures online on this? I know I have to use two planes; One for u and v, and one for x and y. Besides that, I am lost.
  2. S

    Inverse Square Law: 1mW laser range?

    Hello PF! I've got a strange question for you physics boffins; assuming for a moment that lasers obeyed the inverse square law, what range would a typical 1mW red laser have in the atmosphere?
  3. Z

    Definition of function domain and range

    I am a bit confused about this matter. While I was studying Calculus I saw an excercise like this: The domain of f(x) [0,2] and the range is [0,1], it also shows its graphic, though it is not important it is something like a parabola, its maximum point is (1,1) and its intersection points are...
  4. P

    Finding the Range of a Function with Absolute Values and Inverse Operations

    Homework Statement Find the range of the following function. f(x)=abs(x)+x^3 Homework Equations The Attempt at a Solution f(x)=abs(x)+x^3 y=abs(x)+x^3 x=abs(y)+y^3How do I go about completing this algebraically? In fact how to I approach inverting an problem involving absolute values?
  5. H

    Does air friction increase a gunshot bullet's range?

    Would a bullet have longer trajectory,because the air helps it ''glide''?Does this mean that if you fire the same gun and bullet in vacuum and in the air the one fired in the vacuum will fall to the ground a lot more quickly?
  6. D

    Temperature range at which a reaction is spontaneous, Where is the mistake?

    For a chemical reaction we have, ΔH=-114.1kJ and ΔS=-146.4J/K ---> ΔS=-146.4·10^{-3}kJ/K. Question: Determine the temperature range at which the reaction is spontaneous. A reaction is spontaneous when ΔG is negative in the equation ΔG=ΔH-TΔS, so I do: ΔG=ΔH-TΔS 0>ΔH-TΔS -ΔH>-TΔS...
  7. N

    What is the acceleration due to gravity on planet x based on the range formula?

    Homework Statement On Earth you are able to consistently hit a golf ball 156 meter when you use your 5 iron which launches the ball at a 23 angle with respect to the ground. If you were to perform this same shot on the surface of an unknown planet called x, and be able to hit the ball 200 m...
  8. P

    What is the domain and range for the composite function g(f(x))?

    f(x) = x - 3, g(x) = +\sqrt{x} Q. Find gf(x) and a suitable domain and the corresponding range. so gf(x) = \sqrt{x-3}, f(x) is first and the domain for f(x) is x belongs to ℝ, so the domain for g(x) will be x belongs to ℝ, so this function doesn't work? the answer is the domain is x>=3...
  9. J

    What is the range of the quadratic function f(x,y) = (xy-x^2, xy-y^2)?

    Consider the map f : \mathbb{R}^2 \rightarrow \mathbb{R}^2 defined by (x,y) \mapsto (xy-x^2, xy-y^2) I'm interested in figuring out the range of this function, but I keep thinking myself in circles. What would be a systematic method for approaching something like this?
  10. T

    Weighted averages in groups with common range

    I am doing a survey of questions grouped into categories. Each question has a weight applied to it. I want to then total and average each category. Lastly, I want to total and average all the categories together. Here's the challenge: I want all of categories and the total average to have the...
  11. H

    Range must be bounded by constant expressions

    Homework Statement logic [4:0]counter; logic [WORD_W-1:0] mdr_rite_[counter]; //range must be bounded by constant expressions logic [WORD_W-OP_W-1:0] mar_rite_[counter]; //range must be bounded by constant expressions always_ff@(posedge clock, negedge n_reset) begin if (!n_reset)...
  12. O

    Find the range of this function, given we know its domain is.

    Preface: I can't understand a solution provided in a textbook. Please help me to understand. Homework Statement Define: f : D_f \rightarrow \mathbb{R} such that f(x) = \sqrt{x+2} and Domain(f):=D_f = \{x \in \mathbb{R} : x \geq -2\} Find the range of f(x). 2. The textbook's solution...
  13. 1

    Domain and range of f(x) = x/lxl

    Homework Statement Find the domain and range of the function: F(x) = \frac{x}{lxl} Homework Equations ? The Attempt at a Solution domain is all x such that x ≠0 range: do i have to make this into a piecewise function, if so, how?
  14. M

    WxMaxima draw2d switch Y-axis value range

    Hi, Hopefully someone can help. I was some pretty simple code to make a H-R Diagram in wxMaxima. The Absolute magnitude on the H-R Diagram should go from 20 to -15. wxMaxima only allows me enter the Y-axis range from -15 to 20 so the values on this axis are the other way around. I can draw...
  15. M

    Bullet Drop and Gravity: Exploring the Physics of Long Range Shooting

    Please read, before you say, "This has been touched on a million times", please. I was speaking with a physics friend (BS) and he told me if I fired a bullet at a target 1000 yds away, while simultaneously dropping one the same distance as the computed drop(255in), they would strike the...
  16. Y

    Range of values in regards to quadratics and discriminant

    Homework Statement Determine the range of values of the constant a so that the solution of ax^2+2ax+3>=0 (when a >0) is all real numbers Homework Equations D = b^2-4ac The Attempt at a Solution The discriminant is 0, 3. I need to know how to arrange them to get the range...
  17. P

    Determining theoretical range

    Homework Statement I need to determine theoretical vs actual range of a projectile; but first I must determine initial velocity. The projectile was launched from 1 meter high, at 0° with respect to the horizontal, so I shot it horizontally. The ball landed at a distance of 2.97 meters. My...
  18. C

    Determining Domain and Range of Cartesian Equations

    Homework Statement Eliminate the parameter to find the Cartesian equation of the curve. Problem #1: x = sin t, y = csc t, 0 < t < ∏ / 2 Problem #2: x = sin θ, y = cos 2θ Homework Equations What's shown above is what's listed in the book. However, the authors felt compelled to...
  19. T

    About selecting energy range on the spectrometer

    Hi everyone, I am doing an experiment about alpha spectrum. I am using Model P-2000/1 (don't know if this matters), a NaI(Tl) scintillation probe. I selected energy range 3-8 MeV at the front panel and waited for 3000 counts at the peak, it took ~800 seconds. But when I selected energy range 4-6...
  20. J

    Polar coords - Range of theta

    Homework Statement We have the circle (x - 1)^2 + (y-2)^2 = 1. Find the boundaries of θ and r.Homework Equations x = h + rcosθ y = k + rsinθ The Attempt at a Solution This is a circle with its origin at (1,2) and a radius of 1 so r is between 0 and 1 and the circle lies in the first quadrant...
  21. Z

    [BASH] Possible to echo only certain range of WORDS in a string?

    Hi, I'm new to Bash scripting and I need some help with this: I need to echo only a specified range of words from a string based on index; so for example if I had: a="hello how are you today" Is there a way to echo only "how are you" by specifying the index 2 to 4? (in one line...
  22. A

    Why is the range of argument z

    Why is the range of argument z more than -∏ and less than or equal to ∏?
  23. T

    I have 3 questions which are bessel, half range expression and laplace transform

    the questions are together with this file and my solutions are also attached. hope someone can comment on my solutions. thanks a lot and i hope i won't get any warning any more.
  24. S

    Is image and range of a LT the same thing ? (Why are they named like that)

    Is "image" and "range" of a LT the same thing ? (Why are they named like that) If you were to tell me that "range" and "span" meant the same thing I would understand why, in english their meaning's describe a similar sort of idea but I can't see any similarity in range and image. Why are they...
  25. J

    How do i find the range of this function?

    Homework Statement Find the range of y = (cos2x - 1) / ( cos2x + cos x )Homework Equations The Attempt at a Solution Well i tried the usual method. I cross multiplied and got a quadratic equation in cos x. Then it should have discriminant greater than zero so in the end i get (y-2)2 > 0 which...
  26. J

    MHB What is the solution of the difference equation for this equation?

    Range of $\displaystyle f(x) = x^2+1+\frac{1}{x^2+x+1}\forall x\in \mathbb{R}$
  27. M

    Calculating lat/long with range bearing

    All, I have a latitude/longitude and I want to find another latitude/longitude given a range to the location and the bearing from the latitude and longitude I have. I have tried using the Haversine formula, which did not work for me because it is for ranges that are in hundreds of...
  28. C

    Muzzle velocity given test range, time of flight and ballistic properties.

    This isn't really homework, but I figure this is the most appropriate place to post this... Please do say if you think there is a more likely place it will get answered - I'm new! Homework Statement I am trying to calculate the muzzle velocity of an air rifle. I can find the time of flight...
  29. K

    How can I plot multi value in same bar with coloure range

    Hi Friends Can anyone help me with m-file for the subject below I have an Excel data sheet Which give Thickness of several pipes on 5 Different heights and I want to plot each bar is for one pipe with 5 values in 5 Different heights and give A different color for Thickness range example my...
  30. M

    Derive optimal anlge for maximum range (Projectile Motion)

    Homework Statement Hey, For an assignment I need to derive the optimal angle for maximum range (derive Equation 2 below). I know how to derive equation 1 but I need to derive the second equation so I can substitute h = 0, and h = 1, into it, to show the optimal angle for maximum range for...
  31. P

    Proof: maximum range of an object launched off a cliff

    I've been working on this for a while, with little luck. We are told that an object is on a cliff of height H, and is launched off with a velocity v at an angle of theta with the vertical. gravitational acceleration is g. To get the maximum range, it must be a certain angle theta, given by the...
  32. I

    Plots for determining the range of higgs mas

    I am trying to do some plots for determining the range of higgs mass. Can somebody tell me how to plot higgs mass 'm_h' versus tan β ? or 'm_h' versus spectral index 'n_s' ?
  33. H

    Range of movement of a lens?

    Homework Statement In a 35 mm single lens reflex camera (SLR) the distance from the lens to the film is varied in order to focus on objects at varying distances. Over what range must a lens of 45 mm focal length vary if the camera is to be able to focus on objects ranging in distance from...
  34. M

    I'm trying to isolate x to find range, but unsure how to manipulate equation.

    Homework Statement Find RangeHomework Equations y=8x^2+8x+5The Attempt at a Solution y-5=8x^2+8x Subtracted five both sides (y-1)/8=(x+1)x divided 8 to both sides, and factored x out. The x^2+x part has me stumped.
  35. G

    News India successfully test fires 5000km range missile Agni - V

    http://www.nytimes.com/2012/04/20/world/asia/india-says-it-successfully-tests-nuclear-capable-missile.html http://www.bbc.co.uk/news/world-asia-india-17765653 There is some confusion here in India in the media as to what is meant by ICBM and whether a missile with a range of 5000 km...
  36. B

    Range of a function without graph

    Homework Statement Determine the range of each function without graphing it (a) -(y-2)=4x-1 (b) y= 3(0.8)-x - 5 The Attempt at a Solution I know it may be easy and all, but i was at a doctors appointment when we learned how to do this
  37. S

    Showing that the range of a linear operator is not necessarily closed

    Homework Statement Let T: \ell^{2} \rightarrow \ell be defined by T(x)=x_{1},\frac{1}{2}x_{2},\frac{1}{3}x_{3},\frac{1}{4}x_{4},...} Show that the range of T is not closed The Attempt at a Solution I figure that I need to find some sequence of x_{n} \rightarrow x such that...
  38. D

    Find the range of the golfball and the maximum height reached

    Homework Statement A golf ball is hit with a velocity of 22.8m/s at an angle of 40.0° with respect to the horizontal. a) Find the range of the golf ball. b) Find the maximum height reached by the golf ball. Homework Equations dv=1/2*at2 dh=Vh*Δt Kinetic equation d=Vi*t+ 1/2*at2...
  39. P

    Why does the range of cot-1(x) differ from tan-1(x)?

    Homework Statement i wanted to know ,why is the range of cot-1(x) (0,π), unlike tan-1(x) which has its range (-π/2,π/2). because for sin and cosec inverse range is same, for cos and sec inverse range is same. Homework Equations The Attempt at a Solution
  40. M

    Domain & Range of f: 0 ≤ x ≤ 6, 0 < f(x) < 4

    The question is from http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9709%20-%20Mathematics/9709_w10_qp_13.pdf question no. 7 (i). I think it should be more than easy for a functions fanatic( or someone who does math regularly for that matter) to get the right answer, but...
  41. B

    Show f is continuous if the range of f is a bounded interval

    Homework Statement Show that if f: [a,b]→Re is increasing and the range of f is a bounded interval then f is continuous. Homework Equations N/A The Attempt at a Solution I have no idea where to start, but I decided to start with a couple of things. Proof: Let f: [a,b]→Re...
  42. G

    Splitting an integral range to handle singularities

    I am required to write a program that uses Simpson's rule to evaluate ∫t**-2/3(1-t)**-1/3 dt from limits t=0 to t=1. The questions gives a hint to split the integral into two parts and use a change of variable to handle the singularities. I really don't know where to begin. Is the choice of...
  43. R

    Probability function with specification for different range ?

    I understand a probability function can be defined according to range ? So for example, 0>x f(x) = 0 for 0>x>100 f(x) = 1/100 to work out probability it is integration of that function. So how does it work if for some other range there is a DIFFERENT functions ? Is it that...
  44. M

    What is the domain and range of y=-0.7x+1.9 and y=0.7x+1.9?

    Homework Statement State the domain and range of the function that models each half of the roof (triangle) Homework Equations Y= -0.7x+1.9 (left half) Y= 0.7x+1.9 (right half) The Attempt at a Solution Why is the answer: Left half: domain: −2.7≤x≤0 range: 0≤y≤1.9 Right...
  45. T

    Finding the range of validity of a taylor series

    Homework Statement I have to give the range of validity for a Taylor series built from an expression of the form: (1+(a/b)x)^c Homework Equations The Attempt at a Solution Obviously the validity does not extend to x=-(b/a) on the negative side, but should I then state that...
  46. H

    Projectile Motion: finding velocity if given range, angle, and height.

    Hey everyone! I have been asked to find an equation with the subject of V (initial speed) with only the information given, angle above horizontal, range, and initial height above ground. I did attempt this myself and got the formula: v = initial speed θ = initial angle s = range (total) h =...
  47. I

    Do you know the corresponding years of experience range for Intel pay

    Do you know the corresponding years of experience range for Intel pay grade level 7, 8 , 9
  48. M

    Projecting to the range of a matrix

    Homework Statement Let U = span({(1, 2, 1)t, (1, 0, 0)t}) and V = span({(0, 1, 1)t}) be subspaces of R3. Find the matrix B representing the projection onto V parallel to U. Homework Equations The Attempt at a Solution If a matrix C with range U and and a matrix D whose...
  49. M

    Range of Water Flow with 2bar and 45° Angle

    hlw, this is Shafieur...i m in a problem to calculate the range of water with pressure 2bar and angle 45 degree. pipe dia is 1.5 inch...
  50. Z

    How Can I Convert a -0.1V to 1V Output Into a 0V to 4V Range for an ADC Input?

    Homework Statement I am given a thermal sensor that measures temperature at 10mv/degree C. We are to measure a range of -10 to 100 degrees C. Design a circuit that will connect the thermal sensor to a micro controller with an A/D Converter the must take an input from 0 to 4v...
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