Maximum Definition and 1000 Threads

I was watching a youtube video from MIT's open courseware series on probability. A scenario was proposed: Al is waiting for a bus. The probability that the bus arrives in x minutes is described by the random variable X, which is uniformly distributed on the interval [0,10] (in minutes). I...

Homework Statement In a three-slit system, the first minimum occurs at an angular position of 5.00°. Where is the first maximum? Homework Equations dsinθ = mλ/N The Attempt at a Solution dsin5° = λ dsinX = λ/3 sinX = 3sin5° X = 1.66° I'm not sure if this is the right equation to find the...

Homework Statement Find the maximum torque on a square shaped wire provided N=120; l=4cm;R=10##\Omega##; B=0.2 T ; ##\omega=200 revs/sec## Homework Equations ##\tau=IaBsin(\theta)## ##\epsilon=\frac{d}{dt}\Phi## The Attempt at a Solution ##i=\frac{\epsilon}{R}=-\frac{\frac{d}{dt} (BAcos\omega...

Homework Statement A possible decay mode a of a positive Kaon in the production of three Pions as shown below:. K+ → π+ + π+ + π− Whats is the maximum Kinetic energy that anyone of the pions can have? The kaon is a rest when...

Hi I was wondering someone can show me how to calculate the maximum deflection using macauley methods, I have answered all the other questions really stuck now, Can you please show the working outs aswell. The document is on office 2010 format.

Homework Statement A 1-kg steel rod is at 227C and is dropped into a 1-litre bath of water at 27C. Assume that these materials are thermally insulated from the rest of the universe. You will determine the final temperature of the steel rod after it reaches thermal equilibrium with the water...

Hi all I gather a normal black hole has maximum angular velocity at the point that the event horizon is moving at The speed of light. However what would be the maximum rotational velocity for a maximally charged black hole- for example one made purely of electrons? Thanks

Homework Statement A block of weight 20 N (m = 2 kg) sits on an plane inclined at 37°. g = 10 m/s2 (for simplicity). a) Calculate the value of the weight components. b) Calculate the acceleration assuming no friction. c) Calculate the acceleration assuming μk = 0.125. d) What value of μk is...

Homework Statement Suppose that a certain accelerator can give protons a kinetic energy of 200 GeV. The rest mass of a proton is 0.938 Gev/c^2. Calculate the largest possible rest mass M0 of a particle that could be produced by the impact of one of the high-energy protons on a stationary...

If a and b are positive numbers, find the maximum value of f(x)=x^a(2-x)^b D={0<=x<=2} attempt of solution I did this question more intuitively. So I first differentiated and found it to be axa-1(2-x)b + xa (2-x)bb-1 and I figured it will only be <0 when x>=2 and b is odd, so it will be >0 on...

Homework Statement Hey everyone. I'm in an introductory differential equations class, and I think this homework problem has got me stumped. The functions y1(x), y2(x), ... , yn(x) are linearly independent on an interval I. c1y1(x)+c2y2(x)+...+cnyn(x)=0 for all x in I, implies that...

I'm teaching myself Physics (I really want to study Physics in college), and this is one of the few places where I can ask for help. I hope my questions aren't so silly. 1. Homework Statement (a) If half of the weight of a small ##1.00×10^3kg## utility truck is supported by its two drive...

Indicate whether you think it is a local maximum, local minimum, saddle point, or none of these? My solution: Point P = Local Max Point Q = Local Min Point R = None Point S = Saddle I got a 75% for first attempt, so one answer is not correct and I am not sure which one isn't.

If there is maximum speed in the universe and we call it c, and it is not relative, is there also some ultimate rest state, an unrelativistic "0" speed? I sort-of know that there is none, because it would mean that there exists a non-relativistic frame of reference. But I can't quite grasp what...

Homework Statement Find the absolute maximum and minimum values of f(x,y) = y^2+x^2 -4x + 11 on the set D where D is the closed triangular region with vertices (8,0),(0,4) , and (0,-4) . Homework EquationsThe Attempt at a Solution [/B] fx = 2x - 4 fy = 2y Critical point = (2,0) The...

Homework Statement Find the 4 critical points f(x,y) = 5ycos(9x) closest to (0,0) Homework EquationsThe Attempt at a Solution fx = -45ysin(9x) fy = 5cos(9x) fxx = -45*9ycos(9x) fyy = 0 fxy = -45sin(9x) y=0 x=pi/18 (0,pi/18) (0,pi/18 + pi/2) (0,pi/18 - pi/2) (0,pi/18 + 3pi/2) Was not...

Homework Statement A spring with spring constant k = 60 N/m and unstretched length of L0 = 2.2 is attached to the ceiling. A block of mass m = 1.5 kg is hung gently on the end of the spring. 1) How far does the spring stretch? Answer is .245 m 2) Now the block is pulled down until the...

Hi guys, I've been given a question where it asks me to work out : work done , the tension in lifting cable and the maximum power developed and the problem is that I don't know what the maximum power developed means. Isn't it the same as the work done ? If its not, then what's the formula to...

If a question asks for the direction of the maximum gradient of a scalar field, is it acceptable to just use del(x) as the answer or is the question asking for a unit vector? Thanks

Homework Statement "What is the maximum angle above the horizontal with which a projectile can be fired so that its distance from its point of firing (on earth) is always increasing?" [/B]Homework Equations r^2=t^2 v^2 Cos[x]^2 + (-4.905 t^2 + t v Sin[x])^2 The Attempt at a Solution I have...

Let $x,\,y,\,z$ be real numbers such that $x+2y+3z=86$ and $x^2+y^2+z^2=2014$. Find the maximum of $x$.

Homework Statement A person with the mass m swinging in a pendulum motion (vertical circular motion) hangs by a rope (with negligible mass) that can stand a tension of two times the person's mass. I am trying to calculate the maximum angles of the circular motion without the rope breaking...

Homework Statement Find the value of R where RL equals 50 Ω, for maximum power transfer I= 2A, R_L=50 ohms Homework Equations R_th=V_oc/I_sc KCL,KVL,V=IR The Attempt at a Solution First, I created an open circuit including everything except R_L. Then i tried to solve for the Open Circuit...

Homework Statement f(x) = 1/(1+|x|) + 1/(1+|x-a|), a>0 I am to show that the maximum value of this function is (2+a)/(1+a). Homework Equations None in particular. Derivatives for 1/x and the chain rule for f(g(x)). The Attempt at a Solution I have parted this function according to 0 <= x...

$a$ and $b$ are positive real numbers such that $a^2-ab+2b^2=8$. Find the maximum value of $a^2+ab+2b^2$.

Hello just wondering what is the limit to a maximum pressure on earth. start with say a gas canister at 1000 bar. If you put that inside another canister at 1000 bar could you increased the original canister to 2000 bar now (1000 bar pressure above the outer canister) And keep repeating with...

Hello, I was going through Perron method within the text and came across Lemma 1 which states that if u1,u2 are subharmonic on some domain D and satisfies Cauchy boundary conditions (for example), then so does max(u1,u2). I am quite confused in terms of proving the statement. How would one...

For example, I have a pendulum with amplitude of 2m, when the pendulum is at a displacement of 2m, wouldn't the acceleration be negative as the restoring force is acting towards equilibrium? The equation I am taught is that maximum acceleration is (2*pi*frequency)^2 * amplitude, which is a...

Find the minimum value of F(x)=\int_{x^2-2x}^{0} 1/(1+t^2)\,d Does it has a maximum value? why?

Homework Statement If you have a water tower (basically a cup) open to the atmosphere, with a siphon (basically a straw) inside it as shown below: (sorry assume the height h extends to the bottom of the cup instead of only part way - would that change anything though?) Then what is the...

1. Homework Statement Problem 1) A photon having 44 keV scatters from a free electron at rest. What is the maximum energy that the electron can obtain? I already used all of my attempts on this problem so I can't check whether or not any attempt on this forum is successful. Hopefully that's...

Looking at the fields that result from a uniformly moving electric charge, derived from the Lienard-Wiechert potentials, you find that an observer at a right angle to the direction of travel will see a magnetic field proportional to ##\beta (1 - \beta^2)## suggesting a maximum field at ##\beta =...

If z is any complex number, Then Maximum value of f(z) = \left|z-i\right|+\left|z-3-4i\right|-\left|z\right|-\left|z-1\right|.

Long story short, I'm working on a senior design project this semester, (involves converting a gassified biomass to a liquid ethanol using a palladium catalyst embedded in a silicon microporous matrix). I'm currently struggling what should be a fairly basic equation, but it's been too long...

this is the given problem: and this is my attempt at a solution: I am stuck here as the variable y is unknown and I want to express y in terms of x, but cannot figure out how to do so. Thanks for any help!

I need some help working the following problem. I have everything answered except #5 and that is where I get lost. Any help would be greatly appreciated. Suppose a field goal kicker (American football) can kick the ball at a launch speed of 58 miles/hour. If the ball is placed at the...

I calculated a, b, and c, I just need help with d. 1. Homework Statement [/b] The operation of a "reverse" three-speed automotive transmission is illustrated the in figure. Each of the gears rotate about a fixed axis. Note that gears A and B, C and D, E and F are in mesh. The radii of...

Homework Statement "A drinking straw of length 1.5a and mass 2m is placed on a square table of side a parallel to one of its sides such that one third of its length extends beyond the table. An insect of mass \frac{1}{2}m lands on the inner end of the straw (ie, the end which lies on the...

1. Homework Statement A voltage source of 240 v having an internal impedance of (3-j4) ohm, is supplying power to a complex load impedance Z1. What will be the maximum power transferred to load? 2. Homework Equations 3. The Attempt at a Solution

Homework Statement A beam of light is incident on the boundary between a piece of glass to air. The index of refraction of the piece of glass is 1.4. Find the critical angle. It is quite simple to figure out this problem. Sinpheta critical = n2/n1 (as long as n1 is greater than n2)...

Homework Statement the correct ans is A. but my ans is D. When the thin polaroid is placed in front of S1 , it slow down the light wave . as v = fλ. as v decreases , λ also decreases. This cause the x ( fringe separation ) to be smaller. And this also cause the light ray to conccentrate on...

Homework Statement How does a dielectric increase maximum electric field strength? From the two cases where a dielectric is inserted into a charged capacitor after it is disconnected and after it is remained connected it seems that E will either decrease or stay the same. But I read in...

Homework Statement A square shaped block of mass m travels to the right with velocity v on a frctionless surface. The block has side-length 2d. The block hits a very small, immovable obstacle on the floor and starts to tip. The block has moment of inertia Icm=2/3md^2 about an axis through...

Homework Statement Two uniform bars have masses and lengths of m, l and 2m, 2l, respectively. The bars are pivoted at the common frictionless hinge as shown. The bars are released from the horizontal position in such a way that they collide and stick together at the bottom position. After...

When Stiochiometrically correct mixture(equivalence ratio=1) is burned in air fuel cycle some of the air is still left after point 3 in P-V diagram...Theoretically the whole fuel and air should combust till point 3..Then why is some air left out there.And thus the max temp is when mixture is 6%...

Homework Statement Find the Thévenin equivalent of the circuit and the required value of the load for maximum power transfer for Z = 15 + j24 Ω . Homework Equations Voltage divider equation and Z_{in} = Z_{load} 'complex conjugate' for maximum power transfer. The Attempt at a...

Homework Statement So i am trying to find the maximum power transfer of a circuit. See attached image. Is there any way to automatically drag the cursor of a plot to the maximum/minimum amplitude of a signal when simulating LTspice? Or do you need to manually drag the cursor and estimate values...

Homework Statement If you didn't already, download splineFunctions.zipView in a new window. This contains the splineE7.p and splinevalueE7.p function files. The syntax is as follows: If Xdata and Ydata are vectors with the same number of elements, then four various splines can be created as...

I have a HSS 6x6x1/4in steel square tube that is 63.5in long. I am trying to determine its maximum load when standing vertically on end (assume it is perfectly vertical and fixed at both ends). I have calculated the following: Moment of Inertia = 28.6in^4 radius of gyration = 2.34in...

Homework Statement The maximum error in the measurement of the mass and length of the side of a cube are 3% and 2% respectively. What is the maximum error in the measurement of density? (The questions has options as:- (a)3% (b)5% (c)6% (d)9% (e)12% Homework Equations Density(ρ)=...