Composite Definition and 401 Threads

f(x)=2xand g(x)=2^x Find the composite function of fg(x) fg(x) =f(g(x)) =f(2^x) =2(2^x) I don’t understand how this in turn equals to 2^(x+1) [Moderator's note: Moved from a technical forum and thus no template.]

Composite materials consist of various components such as moist wood ,how will the internal resistance of this material behave? If I want to study the resistance of composite materials, which topic should I study?

206 (day of year number) If $f(x)=\sin{(\ln{(2x)})}$, then $f'(x)=$ (A) $\dfrac{\sin{(\ln{(2x)}}}{2x}$ (B) $\dfrac{\cos{(\ln{(2x)}}}{x}$ (C) $\dfrac{\cos{(\ln{(2x)}}}{2x}$ (D) $\cos{\left(\dfrac{1}{2x}\right)}$ Ok W|A returned (B) $\dfrac{\cos{(\ln{(2x)}}}{x}$ but I didn't understand why...

I am following David Tong's notes on the Quantum Hall Effect (https://arxiv.org/abs/1606.06687). One of the approaches he takes to the FQHE is the composite fermion approach (Section 3.3.2). There are two things I am struggling with. First of all he says that a vortex is something around which...

I am working with a simulation which generates multiple identical functions that overlap differently (i.e., they are generated with randomly different phases from each other). When I calculate the composite wave, the shape of the combined wave will differ depending on the relative phases of...

It is obvious that the function f is not injective. From the given equation, we get f(f(2))=6.And since,there is an inequality given in the problem, I think we can use that to find f(6).But I have got stuck here and can't move.Do I have to find what is f(x) first?Then how?

If I have a composite system, like a two particle system, for exemple, I can construct my Hilbert space as the tensor product of the hilbert spaces of these particles, and, if ##\{|A;m \rangle \}## and ##\{|B;n \rangle \}## are basis in these hilbert spaces, a basis in the total hilbert space is...

Homework Statement p(x)=(2−x) / (3 + x) and q(x)= (2−3x) / (1+ x) a) Find the function pq(x). b) Hence describe the relationship between the functions p and q. c) Hence write down the exact value of pq(39.72). 2. The attempt at a solution a) I got pq(x) = x by substituting q(x) into p(x)...

Homework Statement and Find , and 2. The attempt at a solution means work out , then work out for this value. so I do not understand why we add + 3 in line before last (2 x 16 + 3) Should it not be divided by 3 as it is which means 3 x g(x) = x^2 I am a little stuck on the...

Homework Statement Please help me answer thew question in the image.[/B] Homework Equations Current Density J=conductivity X Electric field[/B] The Attempt at a Solution As the current density depends on the conductivity of the material through which the electrons constitutuing it are...

Please see my attached image, which is a screenshot from Khan Academy on the limits of composite functions. I just want to check if I'm understanding this correctly, particularly for #1, which has work shown on the picture. Now my question: We are taking the limit of a composition of...

Homework Statement Let A, B, C be finite sets such that A and B have the same number of elements, that is, |A| = |B|. Let f : A → B and g : B → C be functions. (a) Suppose f is one-to-one. Show that f is onto. (b) Suppose g ◦ f is one-to-one. Show that g is one-to-one.Homework EquationsThe...

Homework Statement Homework EquationsThe Attempt at a Solution Trying to figure this out. So, I'm thinking that adding a extra resevoir for another engine will not add efficiency. It will should split up the W done by the heat reservoir. It just seems to make sense that way. So would the...

Homework Statement Two spin ##\frac 12## particles form a composite system. Spin A is in the eigenstate ##s_z = + \frac 12## and Spin B is in the eigenstate ##s_x = + \frac 12## What is the probability that a measurement of the total spin will give the value ##0##? Homework Equations I know...

Let's say we have a system of spatially separated traps and two-level atoms where the levels are denoted as ##|a_i\rangle## and as ##|b_i\rangle##, and the subscript ##i## labels the trap number. The traps are initially loaded with ##N_i## atoms in the state ##|a\rangle##. If the two levels are...

Hello everyone, nice to be here. I am going to calculate the young modulus of 3 layers of carbon fiber laminar composite For example: 1st: 12K plain wave carbon fiber in 0 degree 2nd:3K till wave carbon fiber in 45deg 3rd:12K plain wave carbon fiber in 0 degree How can I approach to calculate...

Homework Statement Homework Equations In my attempt at a solution The Attempt at a Solution

This week I noticed a tweet from Flip Tanedo mentioning compositeness: https://twitter.com/FlipTanedo/status/976188434086641665 So, is a composite Higgs still a possibility nowadays?

So, I'm a bit confused. The thing is, basically, all elementary functions are of the form ƒ:ℝ→ℝ. So the domain is ℝ and so is the codomain. However, if we have a function ƒ:ℝ→ℝ, given with f(x) = √x, it's domain is now x≥0. So, is the domain of this function ℝ or [0,+∞>? Also, let's say we have...

Recently when I reviewed something about the composite function for my calculus exam, I remembered I had been thinking a question for quite a long time (maybe I was going into a dead end) since I was in high school. I was thinking whether f(x)=1/(1/x) and g(x)=x are the same function or not. It...

Hello, I ran a test on an industrial composite of 30% glass-filled nylon 6, and my melting temperature peak is too low. The range was from -30 C to 275 C. Why could this be happening? Should I suspect the sample pan? Thanks.

n^2 - 14n + 40, is this quadratic composite or prime - when n ≤ 0. Determine, all integer values of 'n' - for which n^2 - 14n + 40 is prime? Proof Required. ps. I can do the workings, but the 'proof' is the problem. Many Thanks John.

Hello, dear colleague. Now I'm dealing with issues of modeling processes of heat and mass transfer in frozen and thawed soils. I am solving this problems numerically using the finite volume method (do not confuse this method with the finite element method). I found your article: "Numerical...

Hello, I am trying to derive the (Euler-Bernoulli) beam equation of a composite beam to determine the vibration and natural frequencies (up to 3 modes) of the beam. The composite beam can be modeled as in the picture below: In order to apply the general equation: (EI)effw'''' = m'eff...

Homework Statement Develop a composite form of Boole's rule for an integral of the form ∫ f(x) dx, where the bounds of integration are from [a,b]. Determine the error bound formula for the composite form of Boole's rule. ∫ g(t) dt = h/45[14g(0)+64g(h)+24g(2h)+64g(3h)+14g(4h)] -...

Hi everyone! This is an application question. I would like to get some advice about how to calculate a score based on a set of individual scores in a way that makes most sense. CONTEXT: I am going over some criteria for judging usability of hypotheses. I came up with a whole bunch about a...

Greetings, I’m currently in the critical stages of my career right now and I really want to chose the best career option out there which suits my strength. My strength is doing R&D and I prefer computers and design simulation software like Ansys,Matlab,AutoCAD.I love thermodynamics,fluid...

Hello! (Wave) According to some notes, we can check if $N$ is composite as follows. We consider a reasonably small prime $R$. Instead of computing $(X+A)^N$ in order to check whether $(X+A)^N \mod{N}=(X^N+A) \mod{N}$ , we compute the remainder when $(X+A)^N$ is divided by $X^R-1$. That's...

I need to calculate the composite power at the input of an RF distribution system, is it just the sum of the signals in milliwatts at the input? I can measure each individual signal with an a spectrum analyser but I do not have a power meter to anable measurement of the total power.

Homework Statement A composite pipe made of steel pipe ( ks = 16 W/m.K) of inner and outer radius of 0.5 and 1.0 cm and a plastic pipe (kp = 0.092 W/m.K) of inner and outer radius of 1 and 1.25 cm, respectively. If the inner surface of the steel is maintained at 900 °C and outer surface of...

Homework Statement Given a composites tube made up of +45 layup. The tube is subjected to positive torque. Suggest a new layup that will improve the strength of the tube when subject to clockwise and anti-clockwise torque. Motivate your choice. Homework EquationsThe Attempt at a Solution I...

What is the basic difference between an odd, composite and prime number? Give an example for each.

Hello, I'm currently doing research for my thesis about non halogen fire retardant composite. One of the main result is deviate and confusing because: There is no fire retardancy's effect of Magnesium Hydroxide addition to resin epoxy. Why?Any suggestions? Thanks

Prove, that the sequence: $a_n = \left\lfloor{2^n\sqrt{2}}\right\rfloor,\;\;\;\;n = 1,2,3,..$- contains infinitely many composite numbers.

Hello, Are there any particular properties, indentities or usages of composite trigonometric functions, say sin(sinx) or cos(sin(x))?

In supersymmetric extensions of the standard model, the neutralinos and charginos (popular candidates for dark matter) are often included. However, it is known that these fermionic particles are linear combinations of supersymmetric bosinos (such as gauginos and higgsinos). Therefore, it seems...

Homework Statement Find f(x) given that f ( f(x) - x2) = x2 - 5x + 3 Homework Equations Not sure The Attempt at a Solution I tried assuming f(x) = ax + b and use composite function but end up wrong. Please give me idea to start Thanks

Homework Statement a)Describe a potential laminate lay-up that would exhibit high shear stiffness b)Describe a potential laminate lay-up that would exhibit a low poissons ratio The Attempt at a Solution a) is a unidirectional lay-up in the direction of the shear force best? b) an evenly layup...

Hi, I am looking for some guidance on a problem I am trying to solve on laminate analysis. This is a flat laminate (9 plies with a thickness of 0.125mm) of unidirectional carbon fibre reinforced plastic with a stacking sequence of: 0/60/0/-60/90/-60/0/60/0. Ply properties are as follows: E1 =...

Let f be an application from E to E (E≠∅) such that f∘f∘f = f Prove f is an injection ⇔ f is a surjection I honestly have no idea how to start and I'd love to know the answer before my math exam tomorrow morning (Thinking)

Homework Statement Consider the beam shown in (Figure 1) . Suppose that a = 15 in. , b = 8 in. , c = 1 in., and d = 4 in. Determine the moment of inertia for the beam's cross-sectional area about the x axis...

Homework Statement [/B] The function ##f##, ##{f: ℤ → ℚ}## defined as ##f(a)=cos(πa)## The function ##g##, ##{g: ℚ→ ℝ}## defined as ##g(a)=(5a)/4## Let h be the composite funciton ##h(a)=f(g(a))## What's the range of this function h? Homework Equations [/B] ##h(a)=cos(5πa/4)## The domain...

The questions is asking me to find \frac{f}{g} basically , the question is asking me to find the answer , even though i know it, i can't get my head around it. the composite function is f(x)=x^2+1 g(x)=1/x we need to find foG (f of g) [composite functions].

Homework Statement Let $$f(x,y)=\begin{cases} \frac{x^2y}{x^2+y^2} \space & \text{if} \space(x,y)\neq(0,0)\\0 \space & \text{if} \space(x,y)=(0,0)\end{cases}$$ a) Use the definition of the partial derivative to find ##f_x(0,0)## and ##f_y(0,0)##. b) Let a be a nonzero constant and let...

Can someone help me with the procedures for Modal Analysis and Harmonic Analysis of Composites using ANSYS APDL?

Homework Statement φ is the angle of twist , i don't understand why the angle of twist must be the same for 2 bars ... Homework EquationsThe Attempt at a Solution They are made of different material , how could the angle of twist be the same for 2 bars ?

Hey, I want to set my own delays to a composite video signal, for use of live video feedback effects (for visuals / art purposes). I am no electrician, but this can't be hard to do right? After searching a few hours online, I haven't come up with any device that I can buy which will do this. Is...

Homework Statement Homework Equations A = l x w A = hbb / 2 The Attempt at a Solution To find the area of a rectangle you would use the formula "A = L x W". In this case A = 14 x 8 which is eual to 112, Now all i need is the area of the triangle and then i add them together and that will be...

Homework Statement [/B] Consider the equation z=6x8ln(x) where z and x are functions of t.If dx/dt=5 when x=e calculate dz/dt. Homework Equations [/B] Do I have to rearrange the equation to do this?The Attempt at a Solution

Consider pion states composed of ##q \bar q## pairs where ##q \in \left\{u,d \right\}## transforms under an ##SU(2)## isospin flavour symmetry. These bound states transform in the tensor product ##R_1 \otimes R_2## of two representations ##(R_1, R_2)## of ##SU(2)##. Take ##R_2## as the...