Range Definition and 979 Threads

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...

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...

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?

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...

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...

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?

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...

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...

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...

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...

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...

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...

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...

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

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.

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...

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...

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

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...

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...

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...

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...

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...

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' ?

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...

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.

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...

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

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...

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...

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

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...

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...

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...

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...

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...

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 =...

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

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...

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...

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...

Hey guys, I was hoping somebody might help me; I'm really confused. I obtained the formula for distance, which is this: d=[(2[v_0]^2(cos[alpha])sin([alpha-beta])]/gcos^2(beta) And the derivative for distance, which is this: derivative of d with respect to...

Homework Statement The following equation defines a rational function.Find its Range f(x) = x2/(x-1) The attempt at a solution Let y = x2/(x-1) =>y(x-1) = x2 =>xy-y = x2 =>x2-xy+y = 0 comparing with the general form of quadratic equation ax2+bx+c = 0, a=1, b=-y, c=y...

Dear Forum Users, I am looking for a database of proton fluxes. I have found already the SOHO database: http://umtof.umd.edu/pm/ but I need also the database for energy range of 1keV to 100 keV range. Does someone could send me some hints where to search? nykon

Homework Statement There are 10 observations. (a) Suppose the IQR is 8. Is it possible that the standard deviation is 1? (b) Suppose the standard deviation is 8. Is it possible that the IQR is 1? Homework Equations IQR = R3 - R1 The Attempt at a Solution My argument is that (a)...

Homework Statement Prove T is a linear transformation and find bases for both N(T) and R(T). Homework Equations The Attempt at a Solution T:M2x3(F) \rightarrow M2x2(F) defined by: T(a11 a12 a13) (a21 a22 a23) (this is one matrix) = (2a11-a12 a13+2a12)...

Homework Statement Need to find the range of 1/{(x-1)(x+2)} for [0, 6] Homework Equations The Attempt at a Solution The domain is [0, 1) AND (1, 6] because 1/0 is an invalid operation. So I tried and this is what I got: [-0.5, ∞) and [0.025, ∞). Wrong, of course :) How do I go...

Homework Statement Prove that if T, S : V -> W are linear and W is finite dimensional then dim (range(S + T)) <= dim range S + dim range T Homework Equations The Attempt at a Solution I know that the dim range S + dim range T can be at most 2 * dim W. However, I'm a little...

Homework Statement f(x) = (arctan(ln(sqrtx - 1)))^3 Homework Equations domain of arctan: all real numbers range of arctan: -∏/2, ∏/2 The Attempt at a Solution I know that domain is x>0 when x ≠ 1, because I need a positive number to go under the radical and the natural log of 0 is...

Homework Statement The car passes point A with a speed of 25 m/s after which its speed is defined by V = (25-0.15s)m/s. Determine the magnitude of the car's acceleration when it reaches point B, where S = 51.5 m. (the max height of the hill is 16 m, and the function of the hill the car is...