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. P

    Range Calculation Help: Finding the Range of a Square Root Equation

    Homework Statement find the range of sqrt(25-(x-2)^2) Homework Equations The Attempt at a Solution I found the inverse 2+sqrt(-x^2+25) then I found the domain to be [-5,5] and said that's the range of the original equation however when I graph the original equation the ys...
  2. Saladsamurai

    I want to find Max horizontal range without

    using \frac{v_0^2}{g_0}=R_{max} for this problem: You buy a toy dart gun and you want to calculate its Max Horizontal Range. You fire the gun straight upward and find that it takes 2.9 seconds for the dart to leave the barrel and then return to the barrel. Can this be done without the...
  3. M

    Developing an Algorithm for Calculating Range of Oerlikon 20 mm Auto-Cannon

    I've been assigned a relatively funky physics project, and the process of writing the algorithm for said project has completely stumped me. I have chosen to research the Oerlikon 20 mm auto-cannon, and have done all of my research and am at the point where I am supposed to write an...
  4. L

    How Can You Experimentally Determine the Maximum Range of a Projectile?

    how do you determine the maximum range w/o using the equation dx= v^2 sin2 feta/g because i need to design an experiment to figure out the maximum horizontal range of a frictionless, spherical ball
  5. C

    Finding Range of f(x) = (2x - 3) / (x - 2): Help Needed

    Hi. Could someone please tell me the Core 3 way of finding the range of f(x) = (2x - 3) / (x - 2). I have no idea how to draw the graph. Any help would be really appreciated. Thank you. Cathy
  6. B

    Rocket Force - Max Range vs. Time

    Rocket Force -- Max Range vs. Time Homework Statement "Assume an ICBM of maximum range 8000 km is fired at your city from a distance of 8000 km." 1) How much warning time will you have if the missile is first detected at its halfway point 2) How fast will the missile be traveling when...
  7. P

    Calculating Ball's Range on Incline 15 Degrees

    Homework Statement A ball is kicked with initial speed 20 m/s and initial angle 40 degrees up an incline of angle 15 degrees. Assume that the ball leaves the ground a the base of the incline at x_{0}=0 and y_{0}=0. How far up the incline does the ball initially land (not how far horizontally...
  8. C

    Theoretical Range Equation Derivation

    Homework Statement Derive an expression for calculating the theoretical range of the ball in terms of y, g, theta, and v0. Homework Equations The Attempt at a Solution I've tried just about everything to figure this out. I started with the motion in the x-direction, and plugged...
  9. F

    How do I correctly notate the domain and range of a function using sets?

    I was just wondering if you could write a functions domain and range with a set? Would it be something like D: {x \epsilon \mathbb{R} | any condtitions} R: {f(x) \epsilon \mathbb{R} | any condtitions} for any function f(x)?
  10. A

    Find the maximum height and the range of the ball.

    Homework Statement The acceleration due to gravity on the moon has a magnitude of 1.62m/s^2. Assume that the ball is kicked on the moon instead of on the earth. Find(a) the maximum height H and (b) the range that the ballwould attain on the moon. acceleration=1.62 m/s^2 H=? R=? Vy=0 m/s...
  11. M

    Angular Range of Motion for 2 Limit Sensors in 83° Arc

    If I have 2 limit sensors set in a circular arc around a rotating servo motor, and the angle between them is 83°, approximately what is the angular range of motion that I can achieve? Please take into account, and let me know what clearances I need to be aware of (i.e. how many degrees clearance...
  12. N

    Maxiumum height and range

    A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection? If I let A = maximum height (or h), than horizontal range (or R) = 3A. I suppose I can also substitute 1 for h and 3 for R. There is some...
  13. rocomath

    Is there a way to bypass print restrictions on a document?

    So I'm selecting what pages I want printed and it's frustrating bc I can't seem to print more than like 8 pages. Any way to unlock this annoyance?
  14. M

    Comparing Temperature Ranges: Fahrenheit vs. Celsius

    Which spans a greater temperature range, a change in temperature os 10 Fahrenheit degrees or a change in 10 Celcius degrees? Using 0 and 100 degrees C and 32 and 212F as references show that a change in 10 degrees Celsius gives a temperature range of 90 (100 – 10). A change in 10 F gives a...
  15. M

    Range of a thermometer - and bulb size

    I have a question. How does the size of the bulb (mercury) affect the range of the thermometer? I know that to increase the range, the bore size of the capillary tube should be large. Would the size of the bulb affect the range? If bulb is large - then there will be more mercury - so...
  16. K

    Domain & Range of 2x^2 + 4x - 3

    Find the domain & range of the function. 2x^2 + 4x - 3 I attempted to solved doing the following 2x^2 + 4x = 3 x^2 + 2x = 3/2 (divided by two) (x+1)^2 = 5/2 (completed the square & added one to both sides) (x+1)^2 - 5/2 = 0 So I put the range was (-5/2, infinity), but the book has...
  17. O

    Finding the Range & Domain of y = 24 - 2x

    I'm sorry for this, but what is the range and domain of the following function? y = 24 - 2x y has to be positive (y > 0) and x too (x > 0) How would you solve this? Do you just need a look and then be able to write it down? Or do you need to solve it with algebra? I've found that x can only...
  18. E

    Finding time and range for a projectile launched from a cliff

    Traced this down to an error in my formula as I'd copied it down; it's (sqrt(Voy^2 + 2gh)+Voy) / g, not (sqrt(Voy^2 + 2gh)-Voy) / g. Thanks though! Homework Statement A 0.57 kg projectile is fired into the air from a cliff that's 13.9 m above a valley. Initial velocity = 7.97 m/s...
  19. E

    Given range and angle - but not time - find initial velocity?

    Homework Statement Given a missile with 9500km range, what must its initial velocity be to travel that distance? Disregard issues introduced by the missile's boost phase, and state the velocity as km/h. (Presumably, the curvature of the planet is to be ignored, as well.) Homework...
  20. M

    Need some Domain and Range Help

    Hey here is the question has a few parts to it. Let f(x)= (x-1)^1/2 and g(x)= 2x^2/x^2+1 a) State the domain and range of f using interval notation. b) State the domain and range of g using interval notation. (Hint: At x=0, g is 0. For x(cannot=0) it helps to write g(x)=2/1+1/x^2 and...
  21. A

    I don't understand what the range is about?

    I don't understand what the range is about. Can someone please explain? Thanks in advance.
  22. B

    Maximum range (RFID) can function

    I need to know the maximum range in which a radio frequency identification device (RFID) can function. What is it limited by?
  23. P

    Determing range of x for which series converges or diverges

    im trying to solve this excersice but i couldn't find any similar questions like this one find for which real x the series SIGMA x^n/1+x^2n converges and for which it diverges
  24. M

    Angle, horizontal range, velocity

    Homework Statement A soccer player kicked a ball up at a 30-degree angle at 20 m/s. Find the hang time, max. height and horizontal range. Homework Equations x(sub y)=(1/2)at^2 + v(sub i sub y) Meaning... displacement = half of acceleration times time squared plus initial velocity in...
  25. J

    Range of Function D & R: Find the Answers

    Hi guys...I am having big trouble finding the range of a function dependant on 2 variables. The function is D=X1-X2. R=|D| How do you find the range of R and D?Is the range of R from 0 to infinity and that of D from - infinity to infinity?
  26. B

    Excel spreedsheet for Range formula- Lab

    I have to program the range formula R= [Vo2sin(2*theta)]/g, into an Excel spredsheet. I need to progran the equation for various values of 'theta' to determine for which value(s) of 'thet' is the range maximum. Table should have left side Injection angle (degrees), right side Range (R). The...
  27. B

    What is the range of the function f(x,y,z)=e^sqrt(z-5x^2-5y^2)?

    Homework Statement Let f(x,y,z)=e^sqrt(z-5x^2-5y^2), find the domain and range of this function Homework Equations The Attempt at a Solution ok i know how to get the domain of the function: you can't take the sqrt of a negative number you set up the inequality z-5x^2-5y^2>= 0...
  28. M

    Kernal and Range (share zero vector?)

    True of false: If A is a square matrix, ker A \cap rng A = {0}. Now it seems to be like this would be false because if the kernel, aka nullspace, is zero then the matrix will have a non-zero range. Also, the range and kernel have dimensions in different spaces, and they will not have the...
  29. D

    What is the difference between range and codomain in a function?

    Hi. This isn't directly a homework question, but it will help in general. Im having a little trouble understanding what the difference between a range and codomain is. For example, for the function f(x) = \frac{3}{{2x - 2}}, i understand that the domain is \{ x \in R:x \ne 1\}. Now, i also...
  30. P

    Range of frequency of pipes

    Homework Statement The (two side open) pipes of a pipe organ range in length from 9m to 0.18m. What are the limits of the range of frequencies that can be produced by such pipes? Homework Equations For open pipes wavelength = 2L/n, L is length of pipe, n is number of segments or antinodes...
  31. I

    Need high range temp sensor ic

    most of the temp sensor ics goes upto 150 'c. can anyone suggest any ic that has upper limit of 400 'c? may be 350 'c
  32. S

    What are the domain and range of this function?

    Say I define a function f by sending a well ordered set X to the least element in X. For example, if N is the natural numbers with the usual ordering, then f(N)=1. This function seems to be well defined. I guess its domain is the set of well ordered sets, but this sounds strange. Whats even...
  33. S

    Composition of functions - find range

    Good evening guys, i have two stupid questions that I'm stuck on and i would be grateful if anyone could help Question 1: f(x)= x+1 g(x)=x^2 the domain in each case is the interval [-1,1] and belongs to the set of real numbers then find the range of: (fog)(x) My Answer...
  34. N

    Noise in 7-10.5 kHz Range: Solutions Needed

    Hi all, I have a high gain current to voltage amp connected to 2-3 meters of coax which is picking up noise in the 7-10.5 kHz range. Does anyone have any expereince in waht could be the source of this noise? Right now I'm using a couple op-amps and a low pass filter to get the noise to a...
  35. T

    Simple trajectory, maximizing downhill range

    Homework Statement A projectile is fired from the origin down an inclined plane that makes an angle, b, with the horizontal. The angle of elevation of the gun and the initial speed of the projectile are a and V, respectively. Show that the angle of elevation, a, that will mazimize the...
  36. C

    Solving an Athlete's Shot Range Problem

    Homework Statement An athlete puts a 16lbs shot at an angle of 45 degrees to horizontal from 6.5ft above the ground at initial speed of 44ft/sec. How far does the shot land? g=32ft/s^2 Homework Equations I can only calculated the range from the point it is fired to the point...
  37. C

    Computing the range for a rational function involving absolute value

    Hi. I need help computing a range. The question is : Find the domain and range of y=\frac{|x+2|}{x}. The domain is obvious, x can't be 0, (-inf,0,) U (0,inf). But how do I find the range?? Can someone help me out? I have tried messing around with the definition of absolute value... if...
  38. C

    How Does Projectile Angle Affect Range in Motion Physics?

    Question: How far will a stone travel over level ground if it is thrown upward at an angle of 31.0 degrees with respect to the horizontal and with a speed of 11.0m/s? What is the maximum range that could be achieved with the same initial speed? I have tried to solve this with no sucess...
  39. C

    Projectile Motion Range: Finding the Maximum Distance with Given Speed and Angle

    Question: How far will a stone travel over level ground if it is thrown upward at an angle of 31.0 degrees with respect to the horizontal and with a speed of 11.0m/s? What is the maximum range that could be achieved with the same initial speed? I have tried to solve this with no...
  40. C

    Finding range and kernel of linear transformation

    Find the range and kernel of: a) T(v1,v2) = (v2, v1) b) T(v1,v2,v3) = (v1,v2) c) T(v1,v2) = (0,0) d) T(v1,v2) = (v1, v1) Unfortunately the book I'm using (Strang, 4th edition) doesn't even mention these terms and my professor isn't helpful. My professor said: "Since range and kernel...
  41. A

    Calculating RF Range & Amplitude from Spark Gaps

    How does one calculuate/analyz RF range and amplitudes given off buy discharging spark gap.
  42. J

    Calculating the Angle of a Projectile Fired for 3x Range Horizontally

    A projectile is fired so that its horizontal range is 3 times its max height. What is the angle? Well, I'm stumped because I thought if I just drew up a triangle and did arctan(1/3), I would get the correct angle... apparently not.
  43. M

    Mathematica Strong mathematical induction, how do u figure out the range of the variable?

    Hello everyone. I've been looking at examples and I can't seem to see what they are doing. For example, the book has: Suppose that d1, d2, d3 ... is a sequence defined as follows: d1 = 9/10, d2 = 10/11. dk = dk-1 * dk-2 for all inegers k >= 3. Prove that dn =< 1 for all...
  44. B

    Short Range Order: Melting Effects?

    I'm confused based on what I've been reading. Does short-range order for a crystal change when it is melted, or is onyl long range order affected by the state of matter an melting has little to no affect on the short range order of the crystal. Is that right or does the shrot range order change...
  45. R

    Help Maximizing Range of Projectile Motion

    My teacher gave me a project that requires us to find the angle that "produces the maximum range for a trebuchet with a release speed of 50 m/s." My (Delta)h value is +46 and I have to calculate the range produced by 5 different angles, graph it, and find the best angle to a hundredth of a...
  46. G

    Exploring the Power of the Turkish Bow: Calculating Maximum Range

    the turkish bow of the 15th and 16th centuries greatly outperformed western bows. the draw force F(x) of the turkish bow versus the bowstring displacement x (for x negative) is approximately represented by a quadrant of the ellipse (F(x)/Fmax)^2+((x+d)/d)^2=1 . Calculate the work done by the...
  47. P

    Op. amp tuned to dynamic range ?

    Op. amp tuned to "dynamic range"? You'll have to excuse me if this is a silly question, but I'm self taught in electrical engineering practices, and there are some simple things I've missed. Here is what I am trying to do(hypothetically): I have a sensor/ transducer that has a ratiometric...
  48. U

    Range of projectile traveling through two points at same elevation

    "A projectile is fired with an initial velocity V_o such that it passes through two points both a distant h above the horizontal. Show that if the gun is adjusted for a maximum range the separation of the potins is?" my work is http://home.earthlink.net/~suburban-xrisis/projectile.pdf"...
  49. S

    Range Of Half-lives Of Different Radioactive Elements

    The Range Of Half-lives Of Different Radioactive Elements Is From_______ A)hours To Years B)hours To Weeks C)days To Months D)seconds To Billions Of Years E)days To Weeks
  50. K

    Domain and Range of the functions

    Please can anybody help me on this two functions it confuse me because has two and thee variables. Find the Domain and Range of each of the following functions a)f(x,x)=\sqrt{\frac{x-y}{x+y}} b)f(x,y)=\[in{(x^2+y^2+z^2)}
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