Maximum Definition and 1000 Threads

Hey :o ! Could you help me at the following exercise? $k, n \in \mathbb{N}$ $f(x)=cos(k \pi x), x \in [0,1]$ $x_i=ih, i=0,1,2,...,n, h=\frac{1}{n}$ Let $p \in \mathbb{P}_n$ the Lagrange interpolating polynomials of $f$ at the points $x_i$. Calculate an upper bound of the maximum error...

Why do van de graff generators have a maximum voltage( charge on the sphere ) . Why can't they just accumulate charge on the sphere as large as we desire?

This isn't actually homework. It's just been a very long time since I've been in mechanics/calculus class and I was trying to figure this out for my own reference / sanity checking. I've made up this problem to try and understand what amount of force is exerted on a sailboat under the most ideal...

Hi Can you please help me with this problem? "What is the maximum size of a set A of logical expressions that only use →, p, q : each pair of elements of A are not equivalent?" I've found 6 different possible truth values. Is this the maximum size? If yes, how do I prove it? Thanks!

why maximum power and maximum torque is not produced at the same rpm in an engine?

Homework Statement Let Yi∼iid,uniform[0,θ]. Let U=max{Yi}. Derive the distribution of U and give the value of any associated parameters. Also calculate E(U) and Var(U). Homework Equations f(y)=1/Θ and F(y)=y/Θ The Attempt at a Solution Since we have a product of iid random variables, we can...

Homework Statement A man stands on the roof of a building of height 14.6m and throws a rock with a velocity of magnitude 30.8m/s at an angle of 33.2∘ above the horizontal. You can ignore air resistance. Calculate the maximum height above the roof reached by the rock. Homework Equations...

Homework Statement For a,b belongs to R the maximum value of (a-1)(b-1)+(1-\sqrt{1-a^2})(1-\sqrt{1-b^2})Homework Equations The Attempt at a Solution I'm really clueless regarding how to start. So I started putting some arbitrary values but they were of no help. I can't even differentiate it as...

Between all the cones whose generatrix length given is L, determine the one with the highest volume? :confused: the answer is h= L/sqrt(3) and R = Sqrt(6)L/2

Homework Statement You are building a device for monitoring ultracold environments. Because the device will be used in environments where its temperature will change by 211°C in 2.99s, it must have the ability to withstand thermal shock (rapid temperature changes). The volume of the device is...

Hello, Im wondering if an analytical proof exists that shows why maximum thrust in an ideal turbojet is obtained when the nozzle exit pressure is expanded to the ambient pressure. As in the equation.. F = mdot*(Ue-Ua) + Ae*(Pe-Pa) my intuition tells me that we'll have to take a...

Hello, I have a question to Maximum Likelihood Estimation. The typical form of MLE looks like this: X = Hθ + W. W is gaussion with N(0, C). θml = (HTC-1H)-1HTC-1X I think θml can only be calculated after a lot of measurements are made, that is, there are plenty of samples of H and X...

Could i get some help with this one please The ultimate strength of a round steel rod is 620.000 MPa. If a factor of safety of 3.000 is required, what is the maximum permissible load for the rod if it has a diameter of 3.000 cm?

Hi, I wondered what is the maximal ionization of a given element when it is free (not bound into a molecule). I'd assume it is possible to strip off all electrons of a given element (given sufficient ionizing radiation) so the maximal positive charge should be +Z (Z being the atomic number)...

What is the maximum possible spring constant for a spring ( practically) for a spring of length 0.5 cm? does it depend on the radius?

I have seen it thrown around a lot that the pH at which concentration of a conjugate base is at a maximum can be found by adding up the 2 pKa's whose reactions that base is involved in and dividing by 2. But I tried differentiating and this only appears to be the case for HA- maximum...

Why is it that the maximum sound coming from a Rijke tube happens only when heated wire gauze is placed at 1/4th the length of the tube from the bottom. According to Rayleighs criterion(copy pasted) "If heat be periodically communicated to, and abstracted from, a mass of air vibrating in a...

If we had a battery with internal resistance 1 ohm and 9 V. If we connected to just wires ( resistance 0) i will produce a 9 amps current. Is this the maximum current? If we connect to this battery a 0.5 ohm resistor (in parallel ) the total resistance will be lower than one, will the current...

I have been given this question by my teacher as part of a quiz and I'm confused on how to start. 1. Calculate the maximum working tensile load that a 19mm shaft is able to take with a safety factor of 3. Material UTS 470 Mpa 2. Stress = load/area When it states 'area' what is this the are of...

Homework Statement Given $$\frac{d^2s}{dt^2}=-Ae^{s/B}\biggl(\frac{ds}{dt}\biggr)^2$$ Show that maximum deceleration (where A,B are constants, v=v_0, and s=-\infty) is \frac{v_0^2}{2eB}. Use the substitution v=\frac{ds}{dt}. Homework Equations See above. The Attempt at a Solution...

Homework Statement Homework Equations The Attempt at a Solution I don't know how to make the equations here. When the balls are penetrating each other, a cavity is being formed due to overlap of the negative and positive charges. The size of this cavity keeps on increasing...

How to find the maximum speed of the object? Is the maximum centripetal force equal to 24.4X9.8? THX!

Hello all... I know that it can be derived, from first principles, that maximum endurance and maximum range speeds are related by the factor 3^0,25. But I haven't been able to find a derivation. Could anyone here help...? Thanks in advance...

The calculation for the maximum bending moment is to be verified experimentally using a strain gauge bonded to the outer surface of the beam, at the point where the maximum bending moment occurs. Derive an equation which could be used to calculate the bending moment from the measured strain...

Hi MHB, I am completely clueless about how to tackle the problem below, given I noticed $y$ increases as $x$ increases, so there is no maximum point over the entire domain for that function, that is for $x \ge 0$, isn't that so?(Tmi) For what value of $x$ is the expression in...

Maximum likehood fonction for LPPL ?? Can anyone help me to found the the likehood fonction for Log-periodic-power-law ? log(y(t))=A+(B(t-tc)^β )(1+Ccos(wlog(tc-t)+phi)) A,B,C,beta,phi,tc,w : are parameters to be estimeted. thanks

I'm trying to determine what equations I can use in order to calculate the maximum load (in pounds) across a sheet of plexiglass. Could anyone help me look in the right direction? This is just a sheet that's 10" x 10" x 1/8", that's held by 4 screws. You see, my project involves placing my...

In a RLC circuit, radio waves with different frequency, f, hit the antenna and exert oscillating electric forces on the electrons on the antenna . Thus they act via antenna as individual batteries, each oscillating at their particular frequency f. Suppose R=1000 ohm. What should L and C be so we...

Homework Statement The maximum value of | \sqrt{x^4-3x^2-6x+13} - \sqrt{x^4+5x^2+4}| Homework Equations The Attempt at a Solution First of all I'd like to ask a question which always troubles me and that is how do you find max value of any given expression? What clues do you look for...

Homework Statement A 4.80kg cart has a spring with spring constant 3200N/m attached to its front, parallel to the ground. This cart rolls at 4.40m/s toward a stationary cart with mass 1.60kg . Homework Equations PEspiring = 1/2*kx^2 KE = 1/2*mv^2 The Attempt at a Solution I was...

See attached for the problem and attemped solution, its is not an applied problem, just a theoretical problem.

Homework Statement Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c. Homework Equations absolute value of (0.5+2(0.0001)-(-100)=100.5002 11-0.5=10.5 0.04562-0.0001=0.04552 17200+100=17300 absolute value of...

Homework Statement What is the maximum mass of ethyl alcohol you could boil with 1000J of heat, starting from 18∘C?Homework Equations Q=mcΔT c ethyl alcohol = 2400 J/(kg*K) T boil ethyl alcohol = 78 C = 351 K T starting = 18 C = 291 K The Attempt at a Solution m=Q/(c*ΔT) m= (2400 J)/[(2400...

Hey I'm trying to find out the maximum velocity that ISON had, should I use Newtonian physics or general relativity equations to find it? What are the values I should assign for mass and distance? Would I need to use differential equations because ISON melted? I don't want anyone giving me the...

Hello I have a set of sets of real numbers greater than 1. Each set can have a different quantity of numbers. Set A1 {a11, a12,...a1m1} Set A2 {a21, a22, ..., a2m2} ... Set AN {aN1, aN2, ..., aNmN} If I want the sum of all possible products that have one element from each set, that's...

Hello all, I am confused on how to calculate the maximum bending stress in an I-beam. I found the maximum deflection in each beam where the load is placed at the center of the span. I also know all the cross-sectional dimensions of the I-beam. Is it now possible to calculate it? Thanks

Homework Statement 1. Take dimensions of the beam (B, D, web and flange thickness, L) – T- cross section 2. Take the beam span geometry and material properties from the instrument 3. Ensure the beam and load cell are properly aligned and apply a positive (downward) preload to the beam of...

Homework Statement the initial velocity of a projectile is 150 m\s .the angle between the velocity vector and the trajectory at the projectile's maximum height is a) 90 b) 45 c) zero d) 63.1 e) 36.9 Homework Equations Vox= vx = Vocosθ Vy = Vosinθ-gt Range (R) = (vo)^2*sin(2θ)/g...

Homework Statement "what is the maximum speed at which a car can safely travel if the radius of the track is 80.0 m and the coefficient of friction is .40" friction is providing the force and the track is flat and circular. Homework Equations the equations that we've been using in class...

Homework Statement A 104-turn coil rotates 7.14 times per second. The coil has a cross-sectional area of 0.670 m2 and the magnetic field through the coils is 0.0720 T. What is the maximum emf induced in the coil? Homework Equations Honestly the rotating coil is throwing me off. But I...

Homework Statement I'm only trying to answer the maximum deceleration possible question, not the rest. Homework Equations Not really sure which equations are applicable, I know the Maximum deceleration of a body in general will be a = μ*g. Although I would think that moments...

Homework Statement For a string of length 100m with fixed ends, a pulse is traveling to the right at a speed of 40 m/sec. The pulse has a wavelength of 2 meters and an amplitude of .1 m. Homework Equations y=A*Sin(kx-wt) ((where w is omega)) \lambda=2*pi/k frequency=w/2pi...

An object is constrained by a cord to move in a circular path of radius 0.5m on a horizontal frictionless surface. The cord will break if its tension exceeds 16N. The maximum kinetic energy the object can have is: Attempt at solution: Well if tension can only be constant, then velocity is...

Homework Statement Find the extrema of over [0,pi/2] ρsinθ + cosθ = f(θ), where ρ is a constant Homework Equations Extrema occur at critical points and global extrema occur at end points. The Attempt at a Solution f(0) = 1 f(pi/2) = ρ f'(θ) = ρcosθ - sinθ = 0 ρcosθ = sinθ. θ =...

Homework Statement A launcher fires a ball that weighs 30kg straight up to a height of 300m. What is the maximum range of the ball could be fired at? Homework Equations V^2 = V^2-2(a)(d) R = ( V02 Sin2θ ) / gThe Attempt at a Solution To find the maximum range i know that it has to be...

Homework Statement Determine, for the network shown in fig 4 the value of the load Impedance that will dissipate the maximum power and the value of this power.Homework Equations Using Thevenin theorem to simplify the circuit then,I believe maximum power transfer theorems apply. P=I2R...

Homework Statement Prelab material, I know how to solve for the gain and vout on a circuit. But reading the actual manual of a op-amp is confusing and I just want to make sure I'm correct. The initial input voltage will be a 1V triangle wave. Then later we increase the voltage to 3V. R1 is 1K...

Homework Statement Find the minimum and maximum values of x and the values of f(x) at these points if: f(x) = 10.9sin(0.7x)+2.1cos(0.7x) The range is (-.27,8.7) Homework Equations I don't know/think there are any The Attempt at a Solution I found f'(x) =...

When following solutions like this link: http://physics.about.com/od/physicsmtop/g/PerfectlyInelasticCollision.htm I understand that energy is lost, but it doesn't necessarily show that this is MAXIMUM energy loss, just that there is energy lost. How would you go about proving that more energy...

Homework Statement A string is tied to a 4.4 kg block and 120g hanging bucket. Students add 20g washers one at a time to the bucket. The student are unaware that the coefficient of static friction for the block on the table is 0.42. A) what is the maximum force of static friction for the...