Minimum Definition and 1000 Threads

Homework Statement A 2m wide truck is moving with a uniform speed v=8m/s along a straight horizontal road a pedestrian starts to cross the road with a uniform speed u when the truck is 4m away from him minium value of v? Homework Equations The equations of motion in a straight line, and...

Homework Statement Let \bar{X}1 and \bar{X}2 be the means of two independent samples of sizes n and 2n from an infinite population that has mean μ and variance σ^2 > 0. For what value of w is w\bar{X}1 + (1 - w)\bar{X}2 the minimum variance unbiased estimator of μ? (a) 0 (b) 1/3 (c) 1/2 (d) 2/3...

Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated...

I'm working as an intern trying to automate this grinder system. I would like to find the minimum torque needed for the grinder motor. The grinder motors we currently use have: 1.25 HP RPM between 8,000-11,000 13 amps 120 volt AC The grinded surface has a: Coefficient of Friction...

Suppose you look at all of the equilateral (non-self-intersecting) polygons** with an odd number of sides, and each side length is equal to 1 unit. For examples, the polygon with the fewest number of sides in this group is the equilateral triangle, and then the next one is an equilateral...

I have a friend who will be starting CC in the fall and he wants to transfer to a four year college eventually. I've been telling him that he'll need a 3.0 GPA and above to transfer and this scares him. I'm doubting my own words about a 3.0. What would you guys think is usually the minimum GPA...

I am building an enclosure for my laser that emits at 1550nm. I need to integrate a window for the laser light to pass through. Anybody have any recommendations on what kind of glass would work best so that the optical losses are kept at a minimum? Ideally, it would be commercially available...

Dear all, I'm studying a paper on coupled magneto-mechanical problems. Suppose we have a "deformable" ferromagnetic bar placed in an initially uniform magnetic field. Both ends of the bar are clamped. The bar has magnetostriction property, so it may expand or contract depending on the the...

Homework Statement Given f(x,y) = xy(x+2y-6), let D be the region in the plane between the hyperbola xy = 4 (let this be g) and the line x+2y-6 = 0 (let this be h). Find the maximum and minimum values of f(x,y) on D. The Attempt at a Solution I first found the critical points for f(x,y)...

Hey guys, Hope you can help me with the following practical problem I am facing right now. I plan to build a pipe system in which ethanol (vapor/liquid) is being conducted at pressures from 1 atm to 10^(-2) atm. What would the minimum pipe wall thickness be if the pipe material was a)...

If $A+B+C=\pi$. Then Minimum value of $\cot^2(A)+\cot^2(B)+\cos^2(C)$ is

Hello, I am blanking on the equations I should use to calculate the stress through a section of a gear. I would like to be able to calculate the thickness of trepanned gear. Hopefully the attachment helps show what I am looking for. The area between the arrows needs to be minimized...

I'm doing a particular form of regression that gives a eigenvector and matrix for the solution. I'm using two matrix libraries to code the solution. One library yields the minimum column vector in each column. The other does not, is there a method in linear algebra to convert the eigenmatrix...

I have a problem that ask for the minimum energy of a wave that we will use to see a particle of size .1 nm. I understand that I can not see a .1 nm particle with any wave length larger than .1 nm. I thought this would be easy and I would use De Broglis relation of electron waves. (f=E/h) or...

Homework Statement What I don't understand is why you can maximize the distances squared - d2. Isn't d2 different from d? I don't see how they can get you the same value.

Homework Statement Find the minimum distance between the surface of a sphere with radius 3 with center (2,1,2) and a cube with length 6 with center (12,11,12) Homework Equations sphere formula: (x-x0)^2+(y-y0)^2+(z-z0)^2=r^2 The Attempt at a Solution Don't know how to attempt this...

Just a quick question, if the maximum induced EMF of a generator is say 200v, would the minimum EMF be -200v or 0v? No equations necessary I say.

Homework Statement Assume speed of 435g football is known with 1mm/s uncertainty. What is the minimum uncertainty in its position? Homework Equations I'm not quite sure... I know p=mv, and I know that Heisenberg's uncertainty principle states that certain parameters of quantum...

Minimum distance/energy bird flight problem. (SOLVED) SOLVED: Problem was just a simple arithmetic error (14 squared) Homework Statement A bird is released from point A on an island 5 mi from the nearest point B on a straight shoreline. The bird flies to a point C on the shoreline and...

Homework Statement f(x,y)=2x3-2y3-3x2 K={(x,y)\inℝ2:x2+y2≤5,y≤0} Find the maximum and minum of f(x,y) within K. Homework Equations ∇f(x,y)=(6x2-6x,-6y) Hess(f)=diag(12x-6,-6) (relevant?) The Attempt at a Solution What I've done so far was calculate the pair(s) (x,y)...

Suppose we have a satellite in an elliptical orbit around the Earth with the major axis pointed towards some fixed point in the heavens. What is the minimum number of rocket burns so that the major axis is rotated 90 degrees and the final and initial energy are the same. Is the number 2? At...

Consider the graph of $${x^2 + 2 y^2 = 1}$$. What is the minimum distance of a point on the graph to the origin? When I calculated the point which has minimum distance from origin it came out to be (1,0) implying the min distance to be 1. The answer is 1/2. Help?

Homework Statement I have a large polymer plate of 45cm x 120cm, with Young Modulus 0.8 GPa and I want to calculate the safe thickness (before fracture) of that plate on a middle line force across the width of the plate with magnitude of 0.6 kN. The middle line force distribution is shown...

Consider a stationary observer and an emitter of light radiation that may be either receding or approaching at a variety of nonrelativistic velocities, with the velocity of the emitter having only a radial component and no transverse component. I was wondering whether the Doppler Effect...

Hello, I have the following Fourier complex signal: v(t) = 2/πsin(500πt)+1/2sin(1000πt)+1/3sin(1500πt) I need to find the minimum sampling rate for this signal. So, according to the Nyquist Theorem, the sampling rate must be twice the highest frequency component contained in the original...

[FONT=Times New Roman]If p(x) is a polynomial such that p(0)=5 ,p(1)=4 ,p(2)=9,p(3)=20 , the minimum degree it can have

If y = \mid x \mid+\mid x-1 \mid+\mid x-3 \mid+\mid x-6 \mid+...+\mid x-5151 \midand m = no. of terms in the expression yand n = no. of integers for which y has min. valueThen \displaystyle\frac{m+n-18}{10} =

Can static pressure be induced to becoming dynamic pressure through the use of "right-angle forces" with respect to particle velocities? I imagine that one could accomplish this with an ionized gas and a magnetic field. This would reduce the amount of work that is need to accelerate the gas...

Homework Statement A 0.25 kg projectile is launched across a frictionless surface by a spring of spring constant k=1200 N/m. The block is then redirected up a 25 degree incline and sent through the air with the intent of clearing a 1.2 m high wall that is 4.0 m away from the end of the...

Homework Statement http://img13.imageshack.us/img13/5793/84188411.jpg Homework Equations Find a condition on b such that x = 0 is a local minimum of the potential function. The Attempt at a Solution To find local minimum, potential function (V) of the system should be written. V...

Hi, I need help with this problem; minimize x^3, subject to K= x-Ωπ so would the solution be K-Ωπ=x thanks!

How do I find the local minimum of z=sqrt(x^2+y^2) I know its simple, but I'm stuck on it. I've tried using the second derivative but it just goes exponential. Then I tried using the second derivative test but did'nt succeed. And kindly could someone solve it step by step as it makes it much...

Hey guys, I seem to have some troubles solving these problems. I was hoping if you guys can give me some insight. Thank you so much for your help! Homework Statement Find the absolute min and max value of each function Homework Equations f(x) = sin 2x - 2 sin x on (-pi,pi) The...

Hey, first of all I'm not looking for the answer I just want a nudge in the right direction :) Homework Statement "a bucket of water is rotated in a vertical circle of radius 1.00m. What is the buckets minimum speed at the top of the circle if no water is to spill out? Homework...

Homework Statement Find the maximum and minimum values of the function f(x,y) = 2x^2 - 28xy + 2y^2 - 1 on the disk x^2 + y^2 <= 1. (a) Find the maximum. (b) Find the minimum. Homework Equations Lagrange Multiplier method and partial differentiation. The Attempt at a Solution...

What is the minimum angular distance from the Sun for Venus to be visible TO THE NAKED EYE?

Homework Statement What minimum coefficient of friction between the tires and the road will allow a 3700 kg truck to navigate an unbanked curve of radius 25 m at a speed of 45 km/h? Homework Equations The Attempt at a Solution The minimum coefficient is 7.62. To arrive at this...

Homework Statement I am working on a program that queries an electronic instrument in order to find a value x for which the instrument will return a minimum value. I can provide any value for x that I want and the instrument will return the result f(x). The function has only one minimum. In...

Homework Statement Give an example of a non-continuous function on [0,1] that has no maximum and no minimum. Homework Equations Well, a continuous function on a non-empty compact set will have a maximum and a minimum, so I guess this is why we need a non-continuous function. The Attempt at...

Is there a name for the concept of trying to find the minimum number of elements from one set of integers that will sum to all elements in another set? Like, for example, with the Pythagorean Theorem, this would be to find the minimum number of elements from the set of all squared integers that...

Homework Statement A person of mass M stands in the middle of a tightrope which is fixed at the ends of two buildings separated by a horizontal distance L. The rope sags in the middle, stretching and lengthening the rope slightly. a)If the tightrope walker wants the rope to sag vertically...

How is it that the water in a bucket, spun fast enough, does not spill? The formula at the top would be Total Force = Tension + M*g right? So would the tension be let as 0? If so, why? I can't understand how the water just simply does not fall out of the bucket :confused:

Find the maximum and minimum values of f(x,y) = x+2y on the disk x2+y^2 ≤1 I have this for now: f_1(x,y) = 1 f_2(x,y) = 2 x=cos(t) and y=sin(t) I have that g(t) = x(t) + 2*y(t) --> g(t) = cost(t) + 2*sin(t) g'(t) = 0 = 2*cost-sin(t) Then I can see that: 2cos(t)/cos(t)...

Homework Statement Fifty kg of water at 0oC must be frozen into ice in a refrigerator. The room temperature is 20oC. The latent heat of fusion of water is 3.33x105 J kg-1. What is the minimum power required if the freezing is to take place in one hour? m = 50 kg Lf = 3.33x105 J kg-1...

Homework Statement Two frictionless pucks are placed on a level surface with an initial distance of 20m. Puck 1 has a mass of 0.8 kg and a charge of + 3x10^-4 C while puck 2 has a mass of 0.4 kg and a charge of +3 x10^-4 C. The initial velocity of puck 1 is 12 m/s [E] and the initial...

I am having trouble with getting started with this one: Find the maximum and minimum values of f(x,y)=x+2y on the disk x^2+y^2 ≤ 1 I have started like this: fx(x,y) = 1 fy(x,y) = 2 and then I am lost...How do I solve it?

A proton, mass 1.67 x 10^-27 kg , is projected horizontally midway between two parallel plates that are separated by 0.8 cm , with an electrical field with magnitude 7.2 x 10^5 N/C between the plates. If the plates are 4.70cm long, find the minimum speed of the proton that just misses the lower...

hello! what is the minimum magnetic field that can be detected and measured? which organ does it? thanks!

Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a...

Two speakers A and B are separated by 1 meter, the point P is 4 m away from speaker B. If P is a person for what frequency does he hear that the intensity have a minimum?. (The listener hear that the sound intensity reduces and increases).I don't know the distance from P to B. (They form a...