Range Definition and 979 Threads

"The bottom line is that CDF and D0 can now exclude (at 95% confidence level) the existence of a Standard Model Higgs particle over a fairly wide mass range in the higher mass part of the expected region: from 158 to 175 GeV. If the SM Higgs exists, it appears highly likely that it is in the...

Homework Statement Find the range of y = (3x-1)/(2x^2 + x - 6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary number during the proess and...

Homework Statement FIXED :) y = (x^2 -4)/(x^2 - x -12) dy/dx of numerator I got 2x dy/dx of denomenator I got 2x - 1 dy/dx of y I got -(x^2 - 16x -4)/((x-4)^2(x+3)^2) setting numerator to zero and solving got 8 +/- sqrt(65) with the critical value being the + setting denomenator...

So I'm skipping pre-cal with full intentions of picking up on AP Calc. Our summer course work is taken from a book called preparing for calculus. After giving me some who-dad that I knew already everything changed in an instant. There's a little gap that isn't quiet filled. A function is...

We have a trebuchet which we can adjust the launch angle, and how far the rubber band is pulled back (extension). The rubber band spring constant is constant throughout. I need to find the relationship between the angle of launch and range, and the relationship between the extension and range...

Homework Statement Given, A = [ 1 -3 4; -3 2 6; 5 -1 -8] b = [b_1; b_2; b_3] Show that there does not exist a solution to Ax = b for every b in R3 and describe the set of all {b1,b2,b3} for which Ax = b does have a solution. Homework Equations row reduction The Attempt...

Edit: Why did my thread title change? #!/bin/bash A=0 B=0 while [ $B -lt 90 ] do for (( COUNTER=-4.5; COUNTER<=6; COUNTER+=0.1 )); do ./new3body $A $COUNTER 2 > outangle$A-$COUNTER 2>&1 done B=`echo "$B+1." |bc -l`...

In algebra/trig. what kinds of problems have a domain and a range ? Is this true for anything that can be graphed? Because a lot of the time after you finish a problem in precalc. it then asks for the domain or range, so the question becomes, in mathematics, is it possible to find the domain...

Say we can set the strength of the strong force weaker, can the glouns then range further and further from a quark? Can we eventually get the strong force to look like the electromagnetic force as far as the range of the force is concerned? Thanks for any help!

I just realized I don't even have to do this problem, but I've thought too much about it, and at times like this I tend to be a bit OCD. If someone could just get me started on the right track of thought that would be great! Q: In figure...

I'm doing some plotting in Matlab where I'm using a third variable of data as a color. For example I have vectors x and y with some sort of values plotted as a scatter plot. I can color the points according to a third vector z by turning on colormap and colorbar (scatter(X,Y,S,C) and use z in...

Homework Statement Ok, so pretty much, I built an air cannon for my physics assignment. I need to determine the muzzle velocity. I know the angle of the barrel, the height of the muzzle about the ground and the distance the projectile covered. I fired projectile at multiple pressures in order...

Homework Statement x=sin(a) / cos(b) a+b < pi/2 a>0, b>0 0<x<1 show that da/dx = cos^3(b)cos(a) / cos(a+b)cos(a-b) The Attempt at a Solution dx/da = cos(a) / cos(b) therefore da/dx = cos(b) / cos(a) =cos^3(b)cos(a) / cos^2(b)cos^2(a) However the denominator of the...

Hey, i have an assignment in MATLAB class which is Let L be a linear transformation such that L(1)=(2 -1)' L(1-x)=(1 0)' L(1+x^2)=(1 1)' L(1+x^3)=(1 2)' Determine a matrix in domain such that with the canonical in range, the matrix that represents L has two null columns. I don't know...

In a particle physics formalism, electromagnetism can be described in terms of interchange of virtual photons. The range is then c.t = hbar / E with t the lifetime, and E the energy of the virtual particle. What is the argument then, for long range EM interactions, in terms of E? Is it...

Homework Statement Find the range of the number k so that the equation 100^x-10^(x+1)+k=0 has two distinct positive roots Homework Equations The Attempt at a Solution I know if it says for two distinct roots only , k<25 but now its two distinct POSITIVE roots , so how ?

Homework Statement Calculate the range fo the function f:[1,infinite) ->R x maps to (1-(1/x))^x Homework Equations lny=xln(1-(1/x)) lhopitals rule. Basic differentiation of logs The Attempt at a Solution I have worked on this for many many hours now and I am going nuts...

Hello, Is there a formula for calculating a range of latitude-longitude coordinates within a certain radius of a given point? Using ellipsoidal geometry, preferably.

I am looking into Fourier series expansion of function that is non periodic on 0< x< p. This is under the tittle of "Half range expansion". All the books only talked about even or odd extension of f(x) to -p <x< p using either Fouries cosine series expansion or sine series expansion. But...

1. A proton is confined within an atomic nucleus of diameter 3.80 fm. Estimate the smallest range of speeds you might find for a proton in the nucleus. 2. Uncertainty Principle 3. 3.80fm * mv = h/2 Soliving for h, using mass of proton = 1.67*10-27kg, I obtain v = 5.22*107. Then...

Homework Statement The RV X has parameter p>0 and distribution: fX(x) = pxe-px for x \geq 0 and is 0 otherwise (The subscript X is a capital letter, as is the X mentioned below in the e4X) If we are to consider the RV D= e4X, determine the range and distribution fD(d) Homework...

One of the topics in my linear algebra course is kernel and range of a linear transformation. I have a firm understanding of what the kernel is: the set of vectors such that it maps all inputs to the zero vector. Range, however, remains nebulous to me. My textbook says that the range is "THe...

Homework Statement A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.80 m/s at an angle of 15.0° below the horizontal. It strikes the ground 6.00 s later. (a) How far horizontally from the base of the building does the ball strike the...

Homework Statement The sets A and B are defined respectively by A={x\in R : 0\leq x\leq 1} B={x\in R : 1\leq x\leq 2} and the functions f and g are defined respectively by f(x)=x^2-2x+2 g(x)=\frac{x+2}{x-1} where f(A)=B , g(B)=C with C as the range of the function g ...

In an experiment, students were testing their hearing range and found that it averaged about 25 Hz to 18 000 Hz. What are the wavelengths of sound waves producing these frequencies in air where the speed of sound is 343 m/s? Would I use the formula wavelength= velocity/ frequency...

Homework Statement Given two functions f(x)=\frac{x}{x+1} , g(x)=\frac{x+2}{x} (1) find the domain of f and g so D_f all real x , x\neq -1 D_g is all real x , x\neq 0 (2) Find the composite function gf and state its domain and range g o f = 3+ 2/x , then its domain would...

how to design a series multi-range voltmeter with its voltage range is given but its value of full scale deflection current (I fsd) and internal resistance (R m) is not given? the voltage range given is 0-3V, 0-9V and 0-30V. since to find the value of every single multiplier resistor is: R...

I feel kinda stupid asking this, since I have a bachelor's degree in physics. But, here it goes: I'm doing a thought experiment on my own (i.e., not a homework problem) for a hypothetical vacuum airship. I've determined the following quantities: V_displaced = 15 m^3 m = 13.5 kg F_net =...

Homework Statement A narrow beam of collimated white light falls at normal incidence upon a transmission grating with 3150 lines per cm. A spectrum is formed by the grating on a screen 30 cm away. If a 1 cm square hole is cut in the screen its inner edge being 5 cm from the zeroth order...

Maxwell's equations with charges can be written as the following (in the cgs system): \frac{\partial \vec E}{\partial t} =c \vec \nabla \wedge \vec B-4\pi \vec J. \frac{\partial \vec B}{\partial t} =-c \vec \nabla \wedge \vec E. \vec \nabla \cdot \vec E =4 \pi \rho. \vec \nabla \cdot \vec...

Homework Statement Find the range of h Homework Equations h(x) = sqrt(25 + (x - 3)2) The Attempt at a Solution I factored out the (x-3)2 and simplified to get sqrt(x2 - 6x + 34) I was trying to figure out the domain first, knowing that x2 - 6x >= -34 in order for the...

Using R=v^2sin2x/g how do you prove that the angle of 45 yields the maximum distance?

Homework Statement A wire is formed into a circle having a radius of .02m and placed in a uniform magnetic field of 1*10^-4. A current of 5A passes through the wire. What is the range of potential energy the wire possesses for different orientations? Homework Equations torque=BIA...

Homework Statement For a given cdf: Fy(y) = 0 for y less than 0 = y^2 for the range 0 to 1 = 1 for all values greater than or equal to 1 the problem asks to find P(1/2 < Y < 3/4) first using the cdf and then using the pdf...

Homework Statement Let V be a finite-dimensional vector space and let T: V -> V be a linear transformation. Prove that there exists a natural number n so that Ker(T^n) (intersection) Range(T^n) = {0} Here, T^n represents the n-fold composition of T o T o ... o T Homework Equations...

Using MATLAB, how do you evaluate a function at integer values, say 1 to 1000, of x and y? For simplicity, let's say the function is z = x + y.

how can i find the range of a rational function for ex. y=1/x+1

Homework Statement A rifle is used to fire two bullets. The first shot is at an angle of 60° above the horizontal and the second at an angle of 45° above the horizontal. The speed of EACH bullet as it leaves the rifle is 200ms^1. For EACH bullet calculate the horizontal range and the...

Given a linear transformation T from V to V, can we say that the range of T is in the space spanned by the column vectors of T. And we already know that the null space of T is the one spanned by the set of vectors that are orthogonal to the row vectors of T, then is there any general...

Hi, I have a quick question on a problem I can't seem to solve. Any help =) PROBLEM Somebody drops a melon on you from a vertical distance of 60 meters directly above your head. To save yourself, you shoot an arrow straight up at the melon at the instant the melon was released. The initial...

referring to an object being projected upwards at an angle ө i'm a phys student but i don't do math so I'm having trouble understanding how this equation has been simplified. Horizontal Range= vcosө x 2vsinө/g =v^2 2sinөcosө/g this is the line i don't understand : v^2 sin^2 ө/g where did...

Hi there, can I ask where to find information on the list of buffer and its effective buffering range?

Homework Statement A particle is projected with initial velocity u\cos\alpha\vec{i}+u\sin\alpha\vec{j} m/s from a point 0 on a horizontal plane. If this particle passes through two points whose displacements from 0 are 3\vec{i}+\vec{j} and \vec{i}+3\vec{j} show that the range is...

what is the different between line integral and surface integral? If we parameterize curve by x=t , y=t , what is the range of t ? Is it 0<= t <=1? why?

Homework Statement Hi to all guys i am not good in physics and trigonometric I tried to do a projectile system.My launch point is higher than target point.I know the velocity v, target_distance d, gravity g,Launch_height_y y0.I added a image that shows the equation.I tried my own but...

Homework Statement By trying a variety of values for L_{S} and L_{L} find a transformer for which the three relationships are satisfied while, a=10. Use smallest possible inductances you need to make the transformer work properly @ 1kHz and above. Print plot with the three ratios that...

Hey Guys Im wondering if anyone could help me simplify the range formula for projectile motion. So far I've got R=2v^2 sin(theta) cos(theta)/g. Help will be appreciated. Thanks

Homework Statement Let T be the linear transformation of R5 into R3 that has the matrix A = 1 3 2 0 -1 2 6 4 6 4 1 3 2 2 1 relative to the bases [(1,1,1,1,1), (1,1,1,1,0), (1,1,0,0,0), (1,0,0,0,0), (0,0,0,0,1)] of R5 and [(1,1,1), (0,1,0), (1,0,0)] of R3. Find a basis for the range...

A very basic question: the signal reception requires that the receiver be at the communication region of the sender? Or what is important is the intersection of the comm. range of both sender and receiver? A practical example: Assume that both sender and receiver have the same hardware, antenna...

Homework Statement A projectile os launched with velocity of 200m/s at an angle of 45deg to the horizontal. Calculate: a) the maximum height reached b) the time of flight c) the range Homework Equations v^2=u^2+2as s=ut+1/2 at^2 The Attempt at a Solution I know the first 2 but...