Max Definition and 1000 Threads

I am struggling with this question which appears in every adv. calculus exam paper I practise and would love some help or advice on how to even approach it! I have no trouble getting the extreme points and determining whether they are local minimum, local maximum or saddle points, but proving...

Hi, I am using MATLAB max to find maximum along dimension 4. However I must made some mistake because the returned value is not the maximum sometimes: ans = 142.1571 ---------------- Can someone please help? Thanks.

Hi all, I did simple problem, in which assembly is subjected to single load & it is fixed at other end. I used Higher Order Tet element (& tried with Hexdominent Method also) for the casting body. The vonmises stress shows the true results but when i was looking for the Max Principal...

μSomeone is pushing a packing case of mass 30 kg up an inclined slope of angle 11.3deg. as shown in the diagram below. The coefficient of kinetic friction between the case and the slope is µk = 0.100 and the coefficient of static friction is µ = 0.200. 1. The minimum force the person must...

I have been having a discussion with a friend and I think we have reached the limit of our knowledge, so hopefully someone on here can help! Basically the question is if a photon is emitted it will travel forever providing it never hits anything. So let's say we are close to the edge of the...

I hope I'm translating this correctly from Hebrew. http://img716.imageshack.us/img716/7621/mamser.jpg I have a relay here and I'm told that the min pickup current is 6mA, and the max is 10mA... does it mean that the relay only works in this range? What happens if there is more than 10mA?

A 0.50 kg block is pushed against a 400 N/m spring, compressing it 22 cm. When the block is released, it moves along a frictionless horizontal surface and then up an incline (which has friction). The angle of the incline is 37 degrees and the coefficient of kinetic friction is 0.25. Use the...

Homework Statement Dense No 1 grade of Douglas Fir-Larch, 6x12 is to be used as a simple beam spanning 10 feet with a 2 feet overhang. The beam has the loading shown in the sketch I've attached. Determine the maximum value of the concentrated load "P" to maintain the structural integrity...

I would like to know if there is a maximum amount of Voltage one could run trhough a series of magnets for about 30 minutes. A friend says that he could run more than 8.4 X 10^21 V through a series of magnets but I don't think so. COuld he really just run that much electricity through multiple...

hi, i was unfortunately unable to find any information about the order of operations in which to apply min and max. (or is it just common knowledge for everyone except me?) consider min_{i \in I}max_{j \in J} (set of elements with indices i \in I and j \in J) (actually, this is from...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through a formula that I...

Homework Statement A 11 kg box slides 4.0 m down the frictionless ramp shown in the figure , then collides with a spring whose spring constant is 190 N/m. The angle of the ramp is 30°. What is the maximum compression of the spring? Homework Equations Ei=mgh Ef=1/2kx^2 The Attempt...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through calculus that...

Homework Statement Which branch of mathematics does arg max come from? The set theory? Homework Equations The Attempt at a Solution Googling

Hello, I have this probability: \text{Pr}\left\{\underset{i,j}{\max\,}\underset{n}{\min\,}X_i(n)+X_j(n)<a\right\} where X_i(n) and X_j(n) are i.i.d. for all i,j, and n. Can I find the distribution of X_i(n_{\text{min}}) where...

Homework Statement Ok so I had this problem on my quiz today and I am really anxious to see if i got it right. It went something like this: You have a frictionless horizontal platform and a ramp with kinetic friction of 0.3. The ramp is 20 degree of the ground. A 2 kg block/object is...

Hello, Is \underset{i}{\min}\underset{n}{\max}=\underset{n}{\max}\underset{i}{\min}? Thanks

Homework Statement A light ray in air is obliquely incident on a parallel-sided slab of refractive index 'n'. The light ray refracts and hits the left side of the slab and undergoes total internal refraction. What is the maximum possible 'n' value? NOTE - This is a theoretical problem...

I am struggling a bit with the second order conditions of a constrained maximization problem with n variables and k constraints (with k>n). In the equality constraints case we have to check if the (n-k) leading principal minors of the bordered Hessian alternate in sign, starting from the...

How do I put down an expression that means the maximum value of a set of numbers?

Hi guys.. I want to find out how to find the maximum speed of a slotcar at a unbanked turn with a permanent magnet which have a downforce of 200 grams and a electromagnet which can brake in the interval 0-560grams. My slotcars topspeed is 5m/s and the wheight is 200grams. The coefficient of...

Hello, If I have a vector A and then I do the dot product on itself so A°A. Then can I use that to find the maximum distance from the origin? If I take the derivative of the dot product then can I know at what time the maximum distance was travelled? I have done this but it is wrong...

I'm working on a project that required me to go through the literature to find some information on Compton and Rayleigh scattering. I came across a key expression, part of it which read: max{ f(x,Z), g(x,Z) } if Z > 10 and f(x,Z) < 2 where f(x,Z) and g(x,Z) are known functions. The...

Mumetal is a high magnetic permeability alloy. It is known any kind of mechanical deformation changes its microstructure leading to loss of superior magnetic properties. Annealing of machined parts fabricated from mumetal is standard. I keep reading in literature, perhaps everyone getting...

(NOTE, this is not a homework problem, but it sure seems like one) Hello, I am mounting a component onto structure and I need to determine the maximum force input into the component. My system can be represented by a base driven two degree of freedom oscillator...

Hello, I am mounting a component onto structure and I need to determine the maximum force input into the component. My system can be represented by a base driven two degree of freedom oscillator: http://www.freeimagehosting.net/newuploads/xowmr.png I need to determine the force...

There is a ladder with mass M that is leaning against a frictionless wall. The coefficient of static friction between the floor and the ladder is say 0.4. What is the max angle that the ladder can make with the vertical before it starts to slide? *the axis of rotation is at the ladder's contact...

Homework Statement A golfer hits a ball, giving it a maximum height of 20 m. If the ball lands 130 m away at the level from which he hit it, what was its initial velocity? (Neglect air resistance) Homework Equations The Attempt at a Solution I found the angle to be 31.6, so I...

EDIT: Title should say "To what maximum angle, measured from vertical, does the rod rotate when hit will a ball?" Did not see that it had cut off. Sorry. Homework Statement A 78 g, 40-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 14 g ball of...

Homework Statement Homework Equations σ=P/A σ=My/I τ=VQ/ItThe Attempt at a Solution I'm on part C, pretty sure I have A and B, so I'm using a W18x46 Beam. I have drawn shear and moment diagrams. I just want to be clear on what part C is asking... I'm assuming this point is at the end of...

Homework Statement An oscillating LC circuit consisting of a 1.2 nF capacitor and a 3.3 mH coil has a maximum voltage of 2.6 V. (a) What is the maximum charge on the capacitor? Homework Equations Q=CV The Attempt at a Solution I tried Q=CV but this did not work I got the answer...

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...

A suburban street receives storm water runoff at rate of 2.0 L/m-s (on each side). The street has a slope of .8 percent and a cross slope of 2 percent; n = .013. If the street is 10 m wide and can be totally covered by water (depth = 0 at the midpoint), what is the max distance between inlets...

I THINK this theorem in short words states that if a function is continuous in an interval [a,b] then it has a maximum. But I have a doubt with the demonstration when it supposes an absurd: $$\begin{align} & \text{THEOREM:} \\ & \text{ }f:[a,b]\to \mathbb{R}\text{ continuous} \\ &...

1. Construct 6x6, 5x5, 4x4 and 3x3 matrices that has the largest determinant possible using only 1 and -1 I have attempted to reduce this problem by applying determinant properties, here is an example of my work for a 3x3 matrix. If we have 3x3 and fill it with 1's and -1's the total...

If given radius=r meters weight=mg Friction=μ Banking angle=θ For the y direction, NCosθ-mg-µNSinθ=0 My question. What is the x-direction equation? I know its equal to mv^2/r. Always mixed up between "real" force like mg and acquired force like N and friction. If the car at rest on the...

Homework Statement The total energy stored in an LC circuit is 2J. The inductance is 10^-2 H and the capacitance is 100 μF. What is the time interval between a maximum current through the inductor and a maximum potential difference in the capacitor?Homework Equations T = 2∏/ω ω = √(1/LC)The...

Given this seemingly simple problem of maximising the area of an isosceles triangle with perimeter equal to 1. What is the best approach and how will I find a result easiest (I know how to get the answer but I need to be able to do these problems fast, so please help me look for a quick method...

[b]1. X_1,X_2\cdots X_n\:\text{are IID Random Variables with CDF}\,F(x)\:\text{and PDF}\,f(x)\\ \text{then What is the CDF of Random variable }\,Max(X_1,X_2\cdots X_n) Homework Equations [b]3. \text{Since Y will be one among}\,X_1,X_2\cdots X_n,\text{why cannot its CDF be }\,F(x)\\\text{I need...

Homework Statement 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 tension exceeds 16N. The maximum kinetic energy the object can have is:Homework Equations KE=1/2mv^2 U=mgh The Attempt at a Solution...

Homework Statement For every x over ℝ, find min, max of following expression Homework Equations y=8x4/(x2+1)2+4x/(x2+1)+1 The Attempt at a Solution I've graphed it but it's really complex. How can I find that points? Thank you so much :)

Homework Statement A 1.2-kg collar C may slide without friction along a horizontal rod. It is attached to three springs, each of constant k 5 400 N/m and 150-mm undeformed length. Knowing that the collar is released from rest in the position shown, determine the maximum speed it will...

Homework Statement http://www.scribd.com/doc/82645310 In Figure 3-31, the lines AB and CD are the center lines of two conduits 1 ft. and 2 ft. in diameter respectively. Determine the maximum value of z so that the two may pass without interference. Conduit CD must pass under AB...

Homework Statement A 1200-kg car is traveling at 10 m/s on a road such that the maximum frictional force between its tires and the road is 4000 N. The minimum turning radius of the car isHomework Equations I need the equation to solve.The Attempt at a Solution 30m?

Homework Statement In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves along a stationary bridge. The crane is traveling at a speed of 3 m/s when it is brought to a sudden stop. Determine the maximum horizontal distance through which the bucket...

Homework Statement A beam of electrons is fired into a rectangular region of space that contains a uniform magnetic field in the -z direction. The electrons are moving in the +x direction, as shown. The speed of the electrons in the beam is 6.00 × 106 m/s. The mass of an electron is me =...

Homework Statement An empty, hollow, spherical conductor with radius R = 20 cm is supported in air. Electrical breakdown occurs when the electric field at the conducting surface exceeds 3.0 × 106 V m−1. What is the maximum charge that can be placed on the sphere? Homework Equations F = k...

Homework Statement a golf ball is shot from a height of 6.5 ft above the ground at an angle of 45° above the horizontal. The ball lands 39 ft and 3 inches downfield. Assuming ideal projectile motion find: a. Initial velocity b. flight time c. maximum height Homework Equations r =...

Homework Statement A fisherman in a boat is using a "10- test" fishing line. This means that the line can exert a force of 45 without breaking (1lb = 4.45N). If he accelerates the fish upward at 1.8m/s/s , what maximum weight fish can he land, in Newtons? Homework Equations F=ma The...

Here is the question: At what point does the curve y=e^(32x) have maximum curvature? I have tried this method: http://www.math.washington.edu/~conroy/m126-general/exams/mt2SolMath126Win2006.pdf Problem 4. Adapting for 32x rather than x it seems to get a bit lengthier with 32x than...