Range Definition and 979 Threads

Homework Statement Hello. Can someon help me understand the difference between these two problems? #1: f(x)+3 #2: f(x+3) The reason I want to know if becuase my question tells me to use the domain of f(x) as [4, 8] and the range as [2, 6] Then it wants to know the domain and range...

hey. I used to be quite talented at math, but I've let my talent deteriorate in the ~10 years since my last calculus class. I have a problem which I'm sure I would have devoured easily back in my school days, but am having trouble with now. I am considering two points on a normal (0 to...

This is a problem related to julia sets but its more of a mathematical problem so I posted it here. x= x^2 - 2 For what values the iteration does not go to infinity. I can't figure out how to calculate that. I tried calculating a nth term of this in terns of initial term but all in vain.

hi, could someone explain the following statement, please? Why is the real data only shifted, but the Fourier space data is 'wrapped around'? The only difference should be: exp(k*x*2*i*Pi/N) in reals space vs. exp(-k*x*2*i*Pi/N) in Fourier space. Both have a periodicity of N. So why is there...

I need to use combinational logic to produce a high ouput for a certain range of values. I have and anaolgue signal which i have converted to a 12 bit digital signal, I need an LED to be turned on when the analogue signal is above a certain voltage. I have the digital value (101001110100 =...

Homework Statement A person can jump a maximum horizontal distance (by using a 45 ◦ projectile angle) of 4 m on Earth. The acceleration of gravity is 9.8 m/s 2 . What would be his maximum range on the Moon, where the free-fall acceleration is g 6 ? Answer in units of m...

Homework Statement Give an example of a linear transformation T: R2 -> R2 such that the null space is equal to the range. Homework Equations null space and range The Attempt at a Solution I have been trying to come up with a solution but I cannot figure it out. What might be a...

How to find out the range of a spring?? I need to find the range of a spring after finding the spring constant. I have reduced the formula after using conservation of energy concepts and projectile motion. Is there another way to find out how much you need to stretch the spring to launch it a...

give a basis for the range and the null space of T:P2(R) to P1(R) where for all p element of P2(R), T(p)=3p'' - p' I got the null space is {1} and the range is {x,x^2} but the answer says it should be {1,x} for the range. How can something be apart of the null space and the range if its...

I am thinking about launching a near space balloon. I'm going to send up a microcontroller with a pressure sensor that outputs audible beeps according to the height data from the pressure sensor. The problem is I don't have a way to transmit this audio data back down to earth. What is the...

Today's switch mode power supplies for computers mostly have a nominal voltage range of 100 to 240 volts. Whatever the added cost of making them operate over that much of a range there is must be less than the cost of having separate products for the two major narrow voltage ranges used...

Homework Statement Find the range of the function http://img225.imageshack.us/img225/5896/msp205619ffihh51bgcch8h.gif. Homework Equations The Attempt at a Solution I tried to solve it but ended up with nothing. Without drawing a graph, how can i find its range? The only...

If i have and electrometer. How can i safely increase its range from the 100V to the 10kV range. The electrometer has ultra high resistance so whatever i added in the circuit would need that too. Any ideas?

What is the easiest, cheapest what to increase the range of this RF transmitter? Right now it outputs 8mW which gives it about a 500 foot range. I need it to be increased to about 40 miles line-of-sight. http://www.sparkfun.com/products/8946

Homework Statement show that (the range of) a sequence of points in a metric space is in general not a closed set. Show that it may be a closed set. 2. The attempt at a solution I don't know where to start. For example, if we are given a sequence of real numbers and the distance...

Homework Statement In Mathematica, how do you set the range for the z-axis and how to implicity plot 3D graphs without writing them as f(x,y) or f(x,y,z)? Also is it possible to make the graph show the axis?

Function p and q are defined by: p (x) = 3x2+1, x∈R, Domain 0≤x≤2 q (x) = x2 - 2, x∈R (q∘p) - State the range: I got -1 ≤ y ≤ 167 The book says 0 ≤ y ≤ 167 Any idea where I went wrong? The composite function I got so then I could sub was: 9x4 + 6x2 - 1 Thanks, Peter G.

Homework Statement A function g is defined by , x=/= +-1 . Determine the range of of g. Homework Equations The Attempt at a Solution Is it {y:y∈R} or {y:y∈R, y=/=0}? Is ''0'' included? Because x=0 is the asymptote of the function but at the same time, function g also intersect the y-axis at...

Rocket design --300km range, 5-15kg payload, 200mg accuracy Hi, I'm working on a project for a mech engineering class where we have to design a remote control vehicle to carry a small payload 300km. It must be able to survive rain, crosswind speeds up to 70km/h, temperatures up to 50 degree...

If you were to throw a ball at an upward angle, what changes could you make to maximize the range and time aloft of the ball and how will these changes affect the balls path. I'm just wondering what would be the best way someone could throw something, but we'll just keep it simple with a normal...

Homework Statement Design projectile motion simulation and produce the max height, inital and final velocity, range, and time of flight. must use digital or photographic tech to record events and assist in the experiment> Okay so I've designed a half projectile motion simulation. A ramp...

the range of (psi) squared is ?? (psi) of the schrodinger's wave equation is displacement? ( or, what are it's SI units??) (psi) squared gives the "probability" of finding a particle in space..does this mean that, 0<= ((psi) sqaured) <=1 ??

1) Let L:R3 >>>R3 be defined by L([1 0 0]) = [1 2 3], L([0 1 0]) = [0 1 1], L([0 0 1]) = [1 1 0] How to prove that L is invertible? I have the idea of one-to-one and onto, but I do not know how to apply them to this proof. 2) Find a linear transformation L:R2 >>>R3 such that {[1 -1 2], [3 1...

Let L:p2 >>> p3 be the linear transformation defined by L(p(t)) = t^2 p'(t). (a) Find a basis for and the dimension of ker(L). (b) Find a basis for and the dimension of range(L). The hint that I get is to begin by finding an explicit formula for L by determining L(at^2 + bt + c). Does...

Homework Statement One of the mediators of the weak interactions is the Z boson, which has a mass of 91 GeV/c 2. Use this information to find an approximate value for the range of the weak interaction. Homework Equations This is the part that I am having trouble with. I don't know where to...

First of all, I would like to apologize if this question is in the wrong section of the forums. I'm not sure if the photoelectric effect should go into "Quantum Physics", "Classical Physics" or even "Homework & Coursework Questions" Descriptions of the photoelectric effect commonly states the...

Homework Statement y= -4(√4x-1) -1 in case it's not clear, the 4x-1 part is all under the radical the question is to graph and find the domain and range Homework Equations The Attempt at a Solution This is probably what your supposed to do , but not sure, OK To get the domain set everything...

Homework Statement A television channel is assigned the frequency range 53.2 to 57.2 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 15.8 pF capacitor. What is the value of the inductor (in mH)? Homework Equations...

So this is the case - I've bought some shocking laser tag guns to play with my friends, though I am unsatisfied with their range which is merely 5 meters. I was wondering if I could add some convex lenses in front of the laser gun in order to increase the range of the laser, would that work...

Homework Statement Equilateral triangle prism (angles all 60 degrees) made of crown glass. Index of refraction ranges from 1.486 for longest visible wavelengths to 1.556 for the shortest. What is range of refraction angles for the light transmitted into air through the right side of the...

Being the mathematician that I am, the results I got in the regular poll were just too inexact for me. So I'm making a couple more threads to get exact numbers! This one's for the 15-34 year olds.

Hi, I'm currently designing a mobile robot which is capable of detecting its surroundings and also any obstacles. I'm currently deciding to use IR to detect the range of objects. However I am using an ultra sound component for a different purpose on the robot, to analyse ground surface. My...

Homework Statement +35 + -80 with only 8-bits using sign-magnitude representationHomework Equations The Attempt at a Solution Why is this possible? Allowing for one sign bit, the maximum range (in my mind) should be -63 < N < 63. I can see from my notes, however, that the limits of an 8-bit...

Homework Statement A quarterback throws the football to a stationary receiver who is 31.5m down the field. If the football is thrown at an initial angle of 40.0 degrees to the ground, at what initial speed must the quarterback throw the ball for it to reach the receiver, if the ball is caught...

what is the difference between a commercial grade IC and an Industrial grade IC. Industrial works at a wider temperature range. I am not asking about that. What is it that you change inside the chip that makes it work at higher temperature ranges?

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...

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

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...

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)...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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) =...