Range Definition and 979 Threads

I need explanation

hey! How do you work out the domain and range of fg(x), do you work out what range of g(x) will fit the domain of f(x)? I have no clue. Thanks

Homework Statement Specify the domain and range of f(x, y) = arccos(y − x2). Indicate whether the domain is (i) open or closed, and (ii) bounded or unbounded. Give a clear reason in each case.Homework EquationsThe Attempt at a Solution y-x2 >= -1 y >= x2 -1 y-x2 <= 1 y <= x2 +1 I sketched it...

Hi I was wondering if anyone could tell me what gasses are absorbed between 800 and 1000nm wavelength and weather there is a book that lists all the gas wavelengths that can be absorbed in this region Thanks bertopolis

Homework Statement I am just stuck on a step in my problem , I have found the solution but have been attempting rearrange the equation but I just don't get it. Its probably a simple step Homework Equations 0=x[(tanα-tanθ)-(gx/2Vo^2Cos^2(α)] then this forms into this...

If we have a standard function like x or x^2 defined between 0 and pi. Then why should we be interested in extending this function to give a Fourier series which resembles this function between 0 and pi? What is the whole purpose of this process? Does it have any real life application or is it...

If we have a standard function like x or x^2 defined between 0 and pi. Then why should we be interested in extending this function to give a Fourier series which resembles this function between 0 and pi? What is the whole purpose of this process? Does it have any real life application or is it...

Hello, I was wondering if someone could explain to me what does it meant that a beta particle has a range of energies ? Thanks

I'm going through a textbook, on what is pretty much my first course in Quantum mechanics. I've got to a section were it says that in order for a sinusoidal wave function to correspond to a non infinite probability distribution, there must be a range of momentum, or at least more than 1 momentum...

6) REDUCTION OF DURATION? Why are the durations of species of hominids decreasing over time? The more modern the hominid, the shorter its existence. For example, according to wikipedia, Homo erectus lived from 1,900,000 BC to 70,000 BC. By comparison, the more recent neaderthals lived...

I am trying to make a term for a function equipped on an image sensor. The term is to express "the upper limit of fluctuation allowance in image size which is specified in %" The value of percentage does not express the ratio of the enlarged image size compared to the original image size, so...

$\textbf{Problem}$ Let $\textbf{b} = \begin{bmatrix}\begin{array}{r} 8 \\ 7 \\ 5 \\ -3 \end{array}\end{bmatrix}$ and let $A = \begin{bmatrix} 2 & 3 & 5 & - 5 \\ -7 & 7 & 0 & 0 \\ -3 & 4 & 1 & 3 \\ -9 & 3 & -6 & -4 \end{bmatrix}$ Is $\textbf{b}$ in the range of the transformation $\textbf{x}...

Homework Statement A curve is given by the parametric equations ##x=t^2 +3## ##y=t(t^2+3)## Find dy/dx in terms of t and show that (dy/dx)^2 >=9 Homework Equations Parametric derivatives The Attempt at a Solution Using the chain rule, I arrived at...

Homework Statement A fly ball just clears a 10.0 meter fence on the way down at a 45 degree angle, and strikes the ground 8.0 meters beyond the fence. Calculate the speed of the ball when it left his bat (at ground level). since it lands at ground level dy=0 a=9.81m/s2 since it is the only...

Homework Statement What thickness of copper is required to stop a 500 MeV/c proton? Homework Equations E=(m^2+p^2)^1/2 The Attempt at a Solution So I have been to some websites and trying to google this- and everyone is using charts and looking of the value of the range in a material...

Homework Statement A ball rolls off a table at an initial velocity of 2.5 m/s. The table's height is 3 meters. Similarly another question asks for the same thing except this time it's a rifle shooting a bullet with a velocity of 250 m/s with a height of 3 meters. Homework Equations The...

They have a nominal voltage of 3.7V or 3.6V. They are charged at 4.2V, and disconnected when the charger says 4.0V. Does that mean they are 3.6V when they are empty, or are they overchaged when they are 4.0V? How low in voltage can they go and still have plenty of current? Thanks. I'm designing...

i understand why λ_min exists but why λ_max?

Homework Statement A particle is in the following potential: V(x)=infinity for x<0; -V0 for 0<x<a; and 0 for x>a Given that there's only one bound state I am asked to determine the range of values for V0 in terms of the width a and the particle's mass m.[/B]Homework EquationsThe Attempt at a...

Given two equilibrium equations for a tank 1 and tank 2 with ## Q^E_1 =6(9q_1 +q_2) ## and ## Q^E_2 =20(3q_1 +2q_2) ##, respectively, where ## q_1, q_2 ≧ 0 ##, describe which possible equilibrium states for various values of ## q_1 ## and ## q_2 ## are possible. I believe I know how the answer...

I was thinking about a function whose domain and range are absolutely one point , then I'm stuck in finding the domain and range of the following function .. could anyone help $$y=\sqrt{x^2+y^2}$$

There are a lot of florescent proteins in the visible range, but why haven't we fount any above or below that range? I think a protein that emits radio waves could be very helpful both biologically and scientifically. Are we not looking for such proteins, or do they not exist?

A structure with free electron density around 10^26 m^-3 is considered as a highly doped semiconductor or a metal? Or in other words, what is the lowest possible free electron concentration for a metal and what is the highest possible free electron concentration for a doped semiconductor?

Homework Statement What angles should an arrow be launched if it leaves the bow @ speed of 60 m/s and is trying to hit a target that is 150 m away? Assume target is same height as bow. Suppose the arrow is fired at an angle of 30 degrees & misses the target & hits the ground 1.8 m below from...

Good day everyone. I would like to know about the lower limit of the frequency range of active acoustic phonon modes. Textbooks say it can reach zero. But I am curious about whether it can be very small, such as 1 micro volt or the like. Would a phonon mode of so small energy be of any...

The weak value of an observable A with pre-selected state ##\psi## and post-selected state ##\phi## is defined as: A_w =\langle \phi | A | \psi \rangle / \langle \phi | \psi \rangle References like Wikipedia then include a comment that the weak value is not bounded by the range of eigenvalues...

I see the term o"ptical frequency" in some articles. From Wikipedia I read that it means the whole EM spectrum. But something says to me it may be only the visible part of the spectrum. Now, which definition is correct? Thanks

Recently it struck me that I'm not sure I understand the weak interaction at all. What causes it to happen? I know that its mediated by the W and Z bosons and has a short range as a result of the large mass these bosons posses, but what does that range refer to? Range from what?!

I'm interested in applying inertial navigation over a very small range < 2 meters. Everything I have seen so far that is related to using inertial navigation for dead reckoning is for very large scales and gives accuracy on the order of fractions of miles or several feet. Does anyone know what...

State the range of the reciprocal function of f(x) = - (x+3)^2 - 1. I'm not sure if I did this right. I wrote that y is above/equal to -1 and below/equal to 0. Is this correct? Also, how would you graph the reciprocal function of f(x) if there is no VA and only a HA?

Write code to assign true to isTeenager if kidAge is 13 to 19 inclusive. Sample program: #include <iostream> using namespace std; int main() { bool isTeenager = false; int kidAge = 0; kidAge = 13; <STUDENT CODE> if (isTeenager) { cout << "Teen" << endl; } else {...

Homework Statement Dear Mentors and Helpers, here's the question: Find the range of validity for (1 + 3x/2)^(-1) and (1 + 1/(3x))^(-1). Homework EquationsThe Attempt at a Solution For the first binomial series: -1 < 3x/2 < 1 -2 < 3x < 2 (multiply 2 throughout) -2/3 < x < 2/3 (divide by 3...

Homework Statement A projectile is fired with speed v_0 (velocity subscript zero) at an angle θ from the horizontal as shown in the figure Consider your advice to an artillery officer who has the following problem. From his current position, he must shoot over a hill of height H at a target...

Which do you believe is the best choice for a low temperature RF heating susceptor, i.e. - greatest rise in temperature vs. field strength. I am aware that Graphite (expanded graphite foil) has excellent thermal conductance in plane and therefore makes for very even heating patterns over large...

Homework Statement I haven't learned kernel yet so if that's of use here I don't know it yet let ##T: \mathbb{R^3} \rightarrow \mathbb{R^2}## where ##T<x,y,z>=<2y,x+y+z>##[/B] prove that the range is ##\mathbb{R^2}## The Attempt at a Solution I know that T is not one-to-one, I checked that...

How is it possible to build an electromagnet(magnetic field of 1 - 5 Tesla) that could create the magnetic field in milliseconds or less? Electromagnet designs that I found would have high resistance & inductance, creating a field in 2 - 5 seconds. Although, they would consume 15 - 20kW of...

Homework Statement You have a 10kg ball that is going 10m/s. It is about to collide with a much less massive ball that is stationary. What is the range of final velocities of the small mass? All Collisions Are Elastic Given Case 1: The large mass stops after the collision. Given Case 2: The...

Homework Statement Firing something at 40m/s at angle X, it lands 65meters away, give 2 angles it could be.. (Assume g=10m/s^2)(Fired at y=0)(No air resistance) Homework Equations D = v^2/g sin(2x) [/B] The Attempt at a Solution d= v^2/g sin(2x) 65 = 40^2/10 sin(2x) 650/1600 = sin(2x)...

Homework Statement How does skew and range affect the standard deviation; does one affect it more than the other? Homework Equations None The Attempt at a Solution It seems as though if the range increases, the standard deviation increases because the SD is a measure of how spread apart...

We are given the velocity at which an object is projected (30 m/s) at an angle theta. I have to "Plot the range R as a function of angle theta (a value somewhere between 0 and 90 (including 0 and 90)). My thought was to possibly determine R using theta = 0 and theta = 90 to find a range, but...

Please see this for experiment details: http://ap.smu.ca/demos/index.php?option=com_content&view=article&id=224&Itemid=205 It is the classic: create a standing wave with a certain number of nodes. I can find a function generate that can output the desired frequency to produce these on a...

Homework Statement If you want to use a catapult to throw rocks, and the max range is 0.67 km, what initial speed must the rocks have as they leave the catapult?Homework Equations v=Δr/Δt The Attempt at a Solution I sketched a graph of the projectile trajectory with the desired range on the...

Homework Statement A projecticle launced at an angle of θ to the horiz

I've always been having trouble with the domain and range of inverse trigonometric functions. For example, let's start with an easy one: $\sin^{-1}\left({x}\right)$ Process: First, I draw out the function of $\sin\left({x}\right)$. Then I look at its range and attempt to restrict it so that it...

Homework Statement There are two vertical ovals, one containing the x-coordinate values and one containing the y-coordinate values. The x-axis values: -1, 8, 0 and the y-axis values: -4, 0, -1 (-1,-4) (8,0) and (0,-1) are the three points. Homework Equations I'm not sure this is an equation...

Find the range of $k$ for which $\dfrac{e^x+e^{-x}}{2}\le e^{kx^2}$ holds for all real $x$.

Hi all, I'm currently studying pair production by two photons (a high-energy one traveling in a isotropic field of low-energy ones), and I'm trying to understand the energy range of the electron created by this phenomenon. For this, I'm studying an old paper from Aharonian 1983...

\frac{1}{x}+ x = 1/x^2+ x The answer is all R In a math way if i have vertical asymptote in 0 how can i explain the range is that

If I have a function depends on for example 2 parameters f[a,b], and I know the value of this function should range between 300 < f < 400, how I know the possible ranges of the parameters in Mathematica. Bests, S.S.

$$\frac{1}{x}+x$$ as i canot see it the function is x +1/x Find the range and the obliquous asymptote Ok it looks to be easy but the most of books say that I must see the graph but teacher asks me in a math way How can I calculate it?? a book tells me that I must solving for x about athe...