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

    Parameter range from complex inequality

    Homework Statement Hi Guys, I try to find the range for parameters phi1 and phi2 were the autoregressive process below is stationary. We have the process X(t)+phi1*X(t-1)+phi2X(t-2)=Epsilon(t) (1) Homework Equations We get the characteristic polynomial F(z)=z^2+phi1*z+phi2 (2) The...
  2. L

    Gamma Rays: Finite Range in Water?

    i was told that high emergy gamma rays had a finite range in water. how can this be if they are both massless and chargeless. is it because they are absorbed/produce electrons/positrons thanks
  3. P

    Domain & Range of f(x)=-√(t(1-t))

    f(x) = -√(t(1-t)) Domain: 0≤t≥1 (from Null Factor law) Range: 0≤t However, the range was wrong. The answers said that it was -0.5≤t≥0. I have no idea where the -0.5 came from. I substituted the domain values in but i didn't work. It just came out with zero. Can anyone suggest any ideas...
  4. P

    Calculating Body Projection: Time, Height & Range

    A body is projected from ground level with a speed of 24 m/s at an angle of 30 degrees above the horizontal. Neglect air resistance and take gravity to be 10 m/s. Calculate: a) The time taken to reach its highest point b) The greatest height reached c) The horizontal range of the body a)...
  5. S

    Wide Range Strain Indicator Units

    In lab for our final project, we used a Wide Range Strain Indicator connected to strain gages on a part we machined to function as a scale. The Indicator device was much like this one: http://www.datasheetcatalog.org/datasheet/vishay/3800.pdf What units would the numbers be that we're...
  6. N

    How to scale an input number range ?

    Hello all, I'm a 3D graphist trying to deal with particles motions and attributes for visual FX I have a surface mapped with a black and white picture. Those different grey values gives me a x value inbetween 0(min) and 255(max). Particles are shot from this plane and from random positions and...
  7. ThomasMagnus

    Kinematics: Understanding the Range Formula

    For a kinematics question, I am using the range formula: R=(Vo^2)(Sin2(theta))/(g) With my values in the equation I get: Square root of((7.80)(9.80)/(Sin2(28)) The correct answer is 9.60. I can't seem to get this answer. I believe it is the "Sin2(28)" part. What does this mean? Does this...
  8. P

    Range of an arrow, shot BACKWARDS from a moving car

    Homework Statement Disregard aerodynamic effects and the height of the person and car. If the speed of the arrow is Va and that of the car is Vc, and the angle above the horizontal at which the person aims is theta, what is the range, when it is measured On The Ground from where it was shot to...
  9. H

    Max Range Lab: Solving the Units Problem

    Homework Statement I am doing a lab report where I have to find a maximum range and at what angle it occurs. For the range equation I am using a range equation with the initial velocity, theta, g and h as variables. There clearly is a problem since my units do not match up, and I can't find...
  10. E

    Is Gravitomagnetism attractive does it have important long range attraction?

    Gravity is important over long ranges as it is always attractive. Gravity has an analogue to magnetism called gravitomagnetism. Is it always attractive? Could "dark matter" or MOND be explained as gravitomagnetism? i.e if gravitomagnetism is always attractive and additive, what is its...
  11. L

    Laser beams in the frequency range of of microwaves

    Hello people, i have got a few thoughts which i would like to share. I few month ago i foundout that there are laser beams in the frequency range of of microwaves (maser beams). (http://en.wikipedia.org/wiki/Maser) I consider the following situation: If a conducting medium (lets think...
  12. K

    Half of maximum possible projectile range

    Homework Statement A projectile's horizontal range on level ground is R=v02sin2\vartheta/g. At what launch angle or angles will the projectile land at half of its maximum possible range Homework Equations The Attempt at a Solution All I know is that a projectile goes the...
  13. G

    Motion in two dimension problem. Range and Height.

    Homework Statement A rocket is launched from level ground with a speed of 30.0 m/s at an angle of 40 degrees above the horizontal. Find: a) Maximum height reached by the rocket. b) The time rocket is in the air. c) the horizontal distance where the rocket lands. Homework Equations...
  14. M

    Why Are Negative Values Excluded in the Range of These Square Root Functions?

    Homework Statement Find the range of each of the following functions. All the functions are defined for the largest possible domain of values of x. a) f(x) = √(4-x^2) b) f(x) = √(4-x) Homework Equations The Attempt at a Solution The answers given are a) 0 ≤ f(x) ≤ 2...
  15. A

    Angle of Projection from Height and Range

    Homework Statement A projectile is fired in such a way that that its horizontal range is three times its maximum height. What is the angle of projection? Homework Equations R = Vo2sin(2theta)/g H = (Vosin(theta)2/2g R = 3H Cancel Voo, g and sin(theta) to leave 4/3 tan(theta) =...
  16. S

    Maple Help Plotting a Piecewise Graph(in Maple) But No Range is Given

    I need to know the command to how to plot a piecewise function graph, All the ones I have found successfully plot but they "ranges" to go with the domain value. The Two I have to graph don't have ranges or just have x(not equal to)= 0 or x=0 (Graphs are) attached thanks
  17. E

    Fourier Series - Half Range Expansions

    1. Homework Statement [/b] Find the half range expansion of the given function. I tried to show f(x) using LaTeX but couldn't figure out how to stack three rows, so I have attached an image instead. Homework Equations Fourier series expansions for a0, an, bn - I can post these once I...
  18. Kawakaze

    Range of natural log, some trigonometry

    Homework Statement (1) Real variables x and y are related by the equation 3ln(y +4) = 2ln(x +2) − 2ln(x +9)+3ln(x^2 − 1). Determine the range of values of x and y for which the expressions on each side of this equation are defined. Find y explicitly as a function of x, that is...
  19. J

    Any decimal number in the range 0 to 2^(n-1)can be represented in binary form

    I have read somewhere: Any decimal number in the range 0 to 2^(n-1) can be represented in binary form as an n-bit number. I suspect it's wrong. Shouldn't it rather be 0 to [(2^n)-1]? Please guide me. Thanks.
  20. O

    Find Domain, Range, Intercepts, Extrema and Asymptotes

    Homework Statement f(x) = x^3/(x^2+ 1) 1. Identify Domain and Range 2. x and y intercepts (if any) 3. local and global extrema 4. Equations of the asymptotes (if any) Homework Equations f(x) = x^3/(x^2+ 1) The Attempt at a Solution f(x) = x^3/(x^2+ 1) f'(x)...
  21. V

    Half range fourier cosine series

    Homework Statement The function f(x) is defined on the interval 0<x<L by f(x)=x. It can be represented by the Fourier cosine series f(x) = a_0 + sum a_n cos(n*pi*x / L) Find its Fourier coefficients a_0 and a_n. Homework Equations Multiply both sides by cos(n*pi*x / L) and...
  22. I

    Maximize Range of Dropped Ball from a Wedge

    Homework Statement I'm attaching a drawing depicting the problem, hopefully the mods will approve it soon. In words: A ball is dropped from some height h_0 and hits a point on a wedge at some angle \theta at some height up the wedge h^\prime. Optimize h^\prime and \theta for which the range is...
  23. K

    The Range of a Function in Set Y

    Homework Statement N/A Homework Equations N/A The Attempt at a Solution I guess I will start here. My question does not necessarily involve equations. In the Calculus book I am currently studying from, I am reviewing some pre-calculus and I came across a section that mentioned...
  24. C

    Writing Critical and Reduced Temperatures Using Range Index in MathCAD

    Hello everyone, I want to write in mathcad some critical temperatures and reduced temperatures using a range index (like in the document I've attached) and i can't figure how to do it (i'm new in mathcad) Is it possible to write those in this way? Thank you and sorry if i put the question...
  25. H

    All conditions are true for a certain range

    How do you specify, in mathematical notation, that a condition is true for all cases? For example, I want to say that t=5 for every value of n. Basically like \lim_{n\to\infty}{t=5}, but instead for every value of n, not just as n approaches infinity. Also, how to specify the range of n...
  26. B

    Calculating range with controlled air gun

    Homework Statement Ultimately, I need to calculate the range of projectile fired from my controlled air gun. My meter gives me pressure in psi which i keep at constant 40 psi, allows me measure (theta) 45 degrees, volume 2.48 in^3Homework Equations R=(v^2/g)*sin(2(theta)); x(t)=v cos(theta)t...
  27. J

    Laser Range Finders | Active Robots

    For these LFR's http://www.active-robots.com/products/sensors/hokuyo.shtml Where exactly is the laser being shot from and recieved? The circular top? or is there something we cannot see under neath/behind? Thanks
  28. A

    What is the Theoretical Range of a Rocket at 79 Degrees?

    Homework Statement My rocket was angled at 79 degrees from the vertical, I calculated its maximum vertical height to be 60 meters, The total flight time was 7 seconds Experimental horiz distance is 40 yds (should be 36.6 meters) Homework Equations This is part of my problem, I am...
  29. V

    How to Design a 40 kHz Ultrasonic Range Finder Using LM555?

    Homework Statement This is the 40 kHz oscillator used to transmit an ultrasonic burst or “ping”. It uses the LM555 timer configured as an A-stable oscillator. Design the circuit to obtain a 40 kHz square wave signal. Potentiometer P1 is used to adjust the output frequency to precisely...
  30. J

    If 'a' is proportional to 'b' for some known range, then does it mean it would always

    Hi I'm not a math student. I can understand general basic math. While solving many problems we take relations "a directly proportional to b" for granted and don't care to ponder what if it doesn't always hold all the way. Let me try to explain it a bit what I'm trying. If 'a' is...
  31. G

    Calculating Visibility Range on One-Lane Street

    Hi gurus I don’t know if this is the right place to post this but if not maybe someone can point me to the right direction as I am lost and I need help. I would like to know if its possible to calculate the range of visibility that a driver can have looking forward if there is an obstacle...
  32. Y

    What is the Range of a Soccer Player's Kick at 20m/s and 15° Angle?

    Homework Statement a soccer player kicks a stationary ball at a speed of 20m/s at an angle of 15\circ to the horizontal. Homework Equations i think it would be Rmax=Vo2/g ? The Attempt at a Solution 19.32 2/9.8=38.09m ?? I'm really lost can someone help me please!
  33. H

    Range of wavelengths from a laser pulse?

    Homework Statement "A 1 fs pulse of laser light would be 0.3 um long. What is the range of wavelengths in a 0.3 um long pulse of (approximately) 600nm laser light?" Homework Equations (delta omega)(delta t) >= 1/2 c = (lambda)(frequency) The Attempt at a Solution I replaced (delta...
  34. H

    The Operation of Multiple Ranges in Definite Integration

    I have the equation G[xy\textup{ln}(z+R)+xz\textup{ln}(y+R)+yz\textup{ln}(x+R)]|^{x_2-x_0}_{x_1-x_0}|^{y_2-y_0}_{y_1-y_0}|^{z_2-z_0}_{z_1-z_0} My question is what exactly is the operation implied by having multiple ranges (x_2-x_0 to x_1-x_0, y_2-y_0 to y_1-y_0, and z_2-z_0 to z_1-z_0)...
  35. M

    Range of A for Real Roots of Ay2 - 3y + 4 = 0

    Homework Statement Consider the following equation in y: Ay2 – 3y + 4 = 0. What is the range of possible values for A such that the two roots are both real? Homework Equations The Attempt at a Solution Not sure how to approach this problem.
  36. O

    Descriptive Statistics - Find % of measurement in a certain range

    1. The problem statement: A set of measurements of a parameter x has a normal distribution with mean of 50 and standard deviation of 1. If there are a very large number of measurements, approximately what percentage of measurements would you expect to be in the range 48 < x < 50...
  37. N

    Linear Transformations,Find basis of kernel and range

    suppose that vectors in R3 are denoted by 1*3 matrices, and define T:R4 to R3 by T9x,y,z,t)=(x-y+z+t,2x-2y+3z+4t,3x-3y+4z+5t).Find basis of kernel and range.
  38. thrill3rnit3

    Optimizing Projectile Range on Uniformly Sloped Surfaces

    Homework Statement Hello. I'm doing problems out of Kleppner and Kolenkow and for some reason I'm stuck at one of them. A boy stands A boy stands at the peak of a hill which slopes downward uniformly at angle \phi. At what angle \theta from the horizontal should he throw a rock so that it has...
  39. X

    Find functions with given domain and range

    1) Find a continuous function f: (0,1)->R with f[(0,1)]=R I couldn't think of any function except tangent, but its domain is NOT (0,1) though? Any suggestions? 2) Find a continuous function f: (0,1)->R with f[(0,1)]=[0,1] I couldn't think of any function that I know. Any suggestions? 3) Find a...
  40. N

    Stargazing Telescope in range of £100-£250

    Can anyone guve any idea of a good model telescope to get? I've had previous telescopees, but I am now lookign for something that is as good as you can get from the range of £100-£250. Thanks Guys :-)
  41. J

    Question on calculating mean range of alpha

    Li6(n,a)H3 , Q = 4.78 Mev. The H3 and He4 products are oppositely directed, away from the site of the compound nucleus, and hence they form one straight track. How to calculate the mean range of the alpha particle if the atomic stopping power of helium realtive to air is given as 0.36?
  42. W

    Projectile motion maximum range

    Homework Statement a projectile is launched from level ground at some angle to the horinzontal. Which of the following must be zero for a projectile to achieve maximum range? vx, vy, delta dx, delta dy or a Homework Equations The Attempt at a Solution i thought to achieve maximum...
  43. C

    Finding kernel and range for polynomials transformation

    I have troubles arriving at the solution to this question: Consider the transformation T: P3-->P3 given by: T(f)=(1-x^2)f '' - 2xf ' Determine the bases for its range and kernel and nullity and rank Can anyone explain how should i go about finding the bases for its kernel and range?? i get 0...
  44. J

    Can I use the range formula for this

    Homework Statement Projectile is launched off cliff at 45 degrees. The coordinates from which the thing is launched are (4.5, 4.8). I had to do this via computer simulation (interactive physics) with different Vxo and Vyo used Given: Xo 4.5 Yo 4.8 I additionally recorded the Hmax, Xf and...
  45. E

    Fourier series representation for F(t) = 0 or sin(wt) [depending on range]

    Homework Statement Obtain the Fourier series representing the function F(t)=0 if -2\pi/w<t<0 or F(t)=sin(wt) if 0<t<2\pi/w. Homework Equations We have, of course, the standard equations for the coefficients of a Fourier expansion...
  46. F

    Finding the angle for maximum range with a constant initial velocity

    Homework Statement According to the range equation (see below), what angle would give teh maximum range for a given initial velocity? Mathematically explain your hypothesis. Homework Equations The equation given in our book for range: R=(V_{o}cos\Theta)*(2V_{o}sin\Theta)/g...
  47. S

    Domain and Range of f(x,y)=2x^2+3x^2+1: Real Numbers and Minimum Value of 1

    Homework Statement Find the domain and the range f(x,y)=2x2+3x2+1 Homework Equations non The Attempt at a Solution ... i said that x,y are all real #'s and f(x,y)>=1 or z>=1 is there anything wrong with what i has attempted at? if do could you explain... thanks in advance
  48. N

    Range of the middle 75% of the data

    Homework Statement Homework Equations TO find the kth percentile =nk/100 (where k=kth percentile and n is the number of observations Need n? Given: n(50)/100 = 9.3 n=18.6 Can n not be an integer? Then I planned on plugging the n into the formula to solve for the 75th percentile...
  49. N

    Findi angular range given initial velocity and distance

    Homework Statement A kicker is attempting a field goal from 50 m from the goal posts, which are 3.44 m high. He can kick the ball with initial speeds of 25 m/s. Ignoring air resistance, within what angular range must he kick the ball to score? Homework Equations Pf = Pi + Fnet*t And any...
  50. Z

    Does Clockwise Spin Shorten Ball's Range?

    Homework Statement If a ball is thrown horizontally in a vertical plane with a clockwise spin, the range will be shortened. Is it true? Homework Equations The Attempt at a Solution I guess it is false in accordance with Magnus effect.
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