Range Definition and 979 Threads

I'm doing some exam revision and there's a few questions on finding the domain and range of functions of 2 variables. With a function of 1 variable I know that the domain and range is just finding the max and min x value, and the max and min y value. With a function of 2 variables I am...

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Homework Statement find the range of possible values of the real number p for which the series (from 1 to infinity) of [(-1)^n]/[n^p] is a. absolutely convergent b. conditionally convergent c. divergent Homework Equations D'Alembert's ratio test Cauchy's integral test The...

Homework Statement Find the ball's hang time, range, and maximum height. A player kicks a football from ground level with an initial velocity of 27.0 m/s, 60.0° above the horizontal. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible. Homework...

Homework Statement Find the basis for the range of the following transformation: T(A)=tr(A) Homework Equations tr(A)=a(1,1)+a(2,2)+...+a(n,n) {not a multiple of but just subscripts of the entries of the diagonal elements} The Attempt at a Solution Since the elements can be...

Domain and range in ovals--what's this called? I was helping my friend with his math homework. He's in an intermediate algebra and is working on domains and ranges of functions. He came to me for help with this method of describing domains and ranges of functions using two ovals--one listing...

Homework Statement FM radio stations use radio waves with frequencies from 88.0 to 108 MHz to broadcast their signals. Assuming that the inductance in an LC-tuned circuit has a value of 7.60 x 10-7 H, determine the range of capacitance values that are needed so the antenna can pick up all...

Homework Statement Prove that a projectile launched at angle @ has the same horizontal range as one launched with the same speed at angle (90 - @). Homework Equations Obviously kinematics will be used =/ The Attempt at a Solution I've been messing around with kinematics but...

Exponential Attenuation and Beta Particle Range (solved) Homework Statement I am given a beta emitter and its atomic mass, as well as the atomic mass of its daughter, which have a difference of 0.0034 amu. I am to determine the range of the particles in air. Homework Equations I am given...

Homework Statement A test rocket is launched by accelerating it along a 200.0-m incline at 1.25 m/s2 starting from rest at point A. The incline rises at 35.0° above the horizontal, and at the instant the rocket leaves it, its engines turn off and it is subject only to gravity (air resistance is...

Homework Statement What is the highest harmonic of this string that is within the typical human's audible range (up to 20000 Hz) String length of 16m u = liner density = 0.015 g/cm = 0.0015 kg/m stretched tension of the string = 557N Homework Equations v= sqrt ( F/ u) v= lamba...

i have two questions... does an electron have a continuous range of energies? I think the answer is no. am i right? and also... what does the solution of the schrodinger's equation provide?

Homework Statement Your teacher tosses a basketball. The ball gets through the hoop. How long does it take the ball to reach its maximum height? How long does it take the ball to reach the hoop? What is the horizontal length of the shot? (Neglect air friction). Initial velocity: 17 m/s...

I'm still doing grade 12 physics, so my physics knowledge is VERY limited. So I have a question about proving that a projectile launched 45 degrees above horizontal gives the greatest horizontal displacement. I have to ideas to go about proving this: 1. Subbing Equations I have...

Homework Statement A stone is thrown down a slope. I am given the Range of the slope and the max height from spot thrown. R= 50m h= 12m Homework Equations I need to determine the magnitude of Vo and inital theta. The Attempt at a Solution First I need to find V_o: I feel that the only...

Is it possible to separate a specific frequency signal from a wide range of signals from a decoder/demux. For an example if you had a frequency range from 1 hertz to 100 KHz, is it possible to separate a signal of let's say 60Hz from the other signals.

Hey guys...not sure if this is possible but is there a way to extend the range of a proximity RFID Tag. I'm looking for a way to broadcast the tag information so i don't have to walk up to the reader with a proximity tag. I'm trying to find a way to open my apartment gate by driving up to it...

Hello i need help with this problem where i am only given the maximum height and range. The problem is that a rocket reaches a height of 72.3 meters and had a maximum range of 111 meters. What is the launch angle? and what is the launch speed? Does anybody know how to solve it

Homework Statement find range for f(x) = sqrt of x-1 f(x) 1/x^2-1 Homework Equations no... The Attempt at a Solution well, i know this is dumb to ask, but i am very very curious... let say the first one, sqrt of x-1 if we want to find the range, obviously, you can tell...

guys , following is the problem (sinx)^4 + (cosx)^4 and (sinx)^6 + (cosx)^6 they are asking for the range for each of them i really have know clue how to solve this...any sugeestion please?...thanks for reading this!

Homework Statement (b) Solve, for 0 <= x < 360°, the equation 2tan²x + secx = 1, Homework Equations I think I have to solve it quadratically but I need to get the trigs to the same trig form The Attempt at a Solution 2\frac{sin^{2}x}{cos^{2}x} + \frac{1}{cosx} = 1 but I can't see any...

Homework Statement \frac{x-5}{x^{2}-9} Homework Equations Usual range-finding methods. For this one, I thought that if the exponent of the numerator is smaller than that of the denominator, then there should be an asymptote at y=0, aka the range doesn't include 0. I think there is a...

Homework Statement Using Newton-Raphson's method, find the solution to the equation x = tan x in the interval \pi/2 to 3\pi/2. Find an interval, in which any starting value generates a sequence that converges to the solution . Homework Equations Newton Raphson's Method The Attempt...

I am just "trying" to watch interstellar TV... The detection range in lightyears is R = \sqrt{\frac{\text{EIRP}\cdot A_{e}_{r}\cdot\text{twc}}{4\pi\cdot\text{SNR}\cdot B_{r}\cdot k_{B}\cdot T_{sys}}}\cdot\frac{1\,\text{ly}}{9454254955488000\,\text{m}}, where \text{EIRP} = P_{t}G_{t}...

After having set up a trebuchet in my back yard, I decided it would be a fun excersise to predict the range of the projectiles launched. Now, I'm not nearly experienced enough at physics to take into account a hinger counterweight or a sling, so I removed those from the machine.Instead I used a...

The cables are tied at A and loaed as shown Determine the range of values of P for which both cables remain taut ! http://www.freeimagehosting.net/uploads/27fcfeba9a.jpg I have an idea on the AC rope. Since the tension force T must not be zero on the horizontal line (or the line along AC)...

Homework Statement A sport rifle used for target shooting has a muzzle velocity of 1200 ft/s a) what is the maximum range of the rifle if it is fired about 5 feet above the ground? b) how long would a bullet be in the air if it was fired for the maximum range? Homework Equations...

Write down the domain and range of the function g(x) = 1 / ((9 - x)2) Please enter your answer as a list [in brackets], using inequalities e.g. a domain (for x) of (-¥, 2) and a range (for g(x)) of (2, 5] may be entered as: [x < 2, 2 < g(x) and g(x) <= 5] I don't get it??

This is the case with metals semiconductors polymers and ceramics I have checked on the web. Still looking for exceptions...

Homework Statement Given z=f(x,y),where f(x,y) is - say- f(x,y)=x^2-2y+4 how would I go about finding the range of the function like it was done for f(x)=y,when f(x)=x^2-1 ,for example,we would put x^2-1=y and solve for x?

Homework Statement Show that the range of the linear operator defined by the equations is not all of R3, and find a vector that is not in the range Homework Equations w1 = x - 2y + z w2 = 5x - y + 3z w3 = 4x + y + 2z The Attempt at a Solution can I just show that it does not have...

Homework Statement A radio receiver contains an LC circuit whose natural frequency of oscillation can be adjusted, or tuned, to match the frequency of the incoming radio waves. The adjustment is made by means of a variable capacitor. Suppose that the inductance of the circuit is 11.00 μH. What...

Ok I seem to have a serious problem. My understanding of Bandwidth was that it is the Range of Frequencies that a Radio Receiver can let through its RLC Circuit (or known as the Bandpass Filter). I thought that The set of frequencies are such that they are larger than half the total power...

Hi guys... Here's the problem. I want to plot a Temperature T(x,y) profile across a plate with dimensions L x W. I'm using finite difference method so the temperature are only known at the nodes I choose, if I make n nodes across the Length and m nodes across the Width I will end up with an...

Identify the domain and range for the function f= {(x,y) \in \mathbb{R} x \mathbb{R}:y=\chi _{\mathbb{Z}}(x)} f={(x,y)\in \mathbb{R} x \mathbb{R}:y=\frac{e^x + e^{-x}}{2} How do I determine the correct results. I am not really understanding the terminology.

Back on lecture about Standard model, professor said that original Weinberg-Salam-Glashow theory had to be augmented with Higgs mechanism because it didnt give rise to massive gauge fields, yet since weak interaction had finite range they knew it had to have a massive carrier, well three of them...

Homework Statement y = \frac{1}{(x-1)(x+2)} find out the domain and range ans: y<= -4/9 or y>0 x~E~R~-\{-2,1\} The Attempt at a Solution I know the solution and I used this methoD: y(x^2 + x -2) =1 (where y\neq0 ) when x is real, the discriminant y^2...

[SOLVED] Horizontal Range (with incline) Homework Statement A ball is thrown up an (v0) incline. The ball is thrown at an angle phi from the incline and the incline has an angle theta with the ground. 1) Show the ball lands a distance R = 2{v_0}^2 sin\theta cos(\theta + \phi ) / (gcos{\phi...

Homework Statement (1/(x+7))-5 find the domain and range. im having trouble graphing this one on my calculator, because when i zoom out the graph looks a lot different than when i zoom in. i think i have an answer though, so i need a quick check. domain: none (infinite) rangE: 0 to -10?

Homework Statement im being asked for the first 4 non zero values for the taylor expansion of exp(x) which is simple, but then it asks for the range of x values that are valid for the expansion. i have never come across ths before - any idea?

An ACTUAL urgent post: Integrating exp() over certain range Hi, Simplified problem: Suppose I have two exponentials \[ e^{ - (x + a - b)} \forall x + a -b> 0 \] \[ e^{ - (x + b)} \forall x + b> 0 \] Then suppose I wanted to integrate: \[ \int\limits_{ - \infty }^\infty {e^{ - (x + b)}...

Hello, Let's say I have a neodymium magnet with 20 lbs of force, and an electromagnet with 200 lbs of force. Is there a way I could figure out the maximum distance that they would attract each other?

I am taking a short course of complex variables and am trying to understand how to evaluate the integral: \int\frac{dx}{1+x^{2}} (1) where the integration is from -infinity to +infinity. To do this, we must, apparently consider: \oint\frac{dz}{1+z^2} (2). The closed loop is a countour...

I'm currently working on my junior project (it's basically a senior project, but for some reason you're supposed to take it third year), which is to measure the energy distribution of cosmic muons. We're doing this by measuring the muon flux that reaches a scintillator paddle below a stack of...

Homework Statement Example: 2 kg projectile 2 kg Counterweight Dropped from 1m 45 Degree Angle 9.8 m/s Gravitational Acceleration (For a catapult) Homework Equations My science teacher's equation was blatantly wrong in a number of ways, so I no longer have it. The Attempt at a Solution...

If V is any vector space and S and T are linear operators on V such that ST=TS show that the null space and the range of T are invariant under S. I think I need to begin by taking an element of the range of T and having S act on it and show that it stays in V? Can you help get me started?

Is it possible to extend the range of an electromagnet? How would one do this?

Hi, How do we select the complete range in the excel file. For example, I hv files with differnt rows and cols and i wanted to write a code to copy the data frm these datasheets to another..so can't use the lines like Range(A1:AJ50).Select..I require somthing generic to change the range...

How would using a kilo Tesla magnetic field (quite strong I know) affect magnetic confinement fusion. can this overcome main difficulties ? I think if the field was stable for enough time this would increase plasma lifetime and the reaction cross section . I know that a kilo Tesla...

Let f(x)= ln(-x^2+x+6) Find the range of f(x). Use f'(x) to support your answer. Attempt at a solution: Find the max. value of the range is easy. I found the derivative and set it equal to zero. My REAL PROBLEM is finding the minimum value of the range. The function's domain must...