Application Definition and 998 Threads

Homework Statement To measure how far below the ocean surface a bird dives to catch a fish, a scientist uses a method originated by Lord Kelvin. He dusts the interiors of plastic tubes with powdered sugar and then seals one end of each tube. He captures the bird at nighttime in its nest and...

Homework Statement A pilot wishes to fly form city A to city B, a distance of 720 km on a bearing of 070°. The speed of the plane is 700 km/h. An 60 km/h wind is blowing on a bearing of 110°. What heading should the pilot take to reach his or her destination? How long will the trip take...

1. Let f be the function given by f(x) = ex + 1, where the region R is bounded by the graph of f(x), the y-axis, and the horizontal line y=4. Homework Equations a. Find the area of region R. b. A vertical line x=h, where h>o is chosen so that the area of the region bounded by f(x), the y-axis...

Homework Statement http://img227.imageshack.us/img227/9792/hopitalsruleandlimits.png Ive added a picture of the question. I know that L'hopitals rule is lim x->a f(x)/g(x) = lim x->a f'(x)/g'(x) but I don't understand how to apply it in this situation >< and the other questions I don't...

Homework Statement The boundary of a lamina consists of the semicircles y = sqrt(1-x^2) and y = sqrt(4-x^2) together with the portion of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin Homework...

This may be ridiculous, but here goes... I have a VOIP application on my desktop (for work) that I use at home with a simple headset with red and green speaker / microphone jacks. My standard 2-line speakerphone sitting next to my laptop at home obviously has a speaker and a microphone. Is...

Am really suprised when deriving electric field due to a uniform charged thin long rod! It was suprising to have a cylinder as a gausian surface! actualy is that posible, that all along the surface of the cylinder has same field intensity and why? also why are there no electric flux along...

Homework Statement From a load of 50 Panasonic tape recorders 35 are destined for L.A. and 15 are destined fro Miami. If two are shipped to Trenton by mistake and the "selection" is made at random, determine the probabilities that: a) both should have gone to L.A. b) one should have gone...

Homework Statement When an athlete throws a javelin her forearm snaps through an angle of approximately ¼ radians in 0.20 s. The athlete’s hand moves with approximately constant speed, the length of her forearm is 45 cm, and the combined mass of her forearm and javelin is 2.0 kg. Assuming...

Homework Statement A velocity selector consists of electric and magnetic fields described by the expressions vector E = E k-hat and vector B = B j-hat, with B = 0.0130 T. Find the value of E such that a 830 -eV electron moving along the negative x-axis is undeflected? Homework Equations...

Homework Statement A home security system costs $9/month in electricity costs (you may assume this is a fixed cost over the duration of the time involved in this question). A new security system costs $1500 to purchase and lasts for 8 years. Determine a rational function that gives the...

Hello, I am Year 10 student and would like to get help on the question below based on Boyle's Law. A piston with a block of mass 120 grams placed on it traps 200cm³ of air in a container. When the block is removed, the volume becomes 250cm³. Find the mass of the piston. In the question...

Homework Statement Find the value of k if the function y=x^2+kx+72 has a local minimum at x=4

I'm almost mid-way through a "licenciatura" degree in Argentina which is 5 years long. My current GPA would exclude me from any grad school (5.83/10), I believe. I plan on to get it up as much as I can, maybe I'll reach a 7/10 but sincerely I'm not that optimistic and I guess I'll end with a...

Hi all, Sorry for posting it here, but i believed i might get the right guidance if i asked group of physicist... I am an Indian national, studying in US, this summer i am visiting CERN for my research on a short term basis(2.5months). Exploring the swiss consulate website for bunch of...

In my math class we are learning about inverse functions and how you can find if the inverse of a function is a function using the first derivative test. Our teacher omitted some of our homework regarding the derivatives of the inverse and he posed the question of how one would practically use...

Why is it that on many applications there is a section that asks whether you are a native american or some type of minority? Are they able to get into the university without working hard like many average Asians and Caucasians? If so why do they get this privilege?

Homework Statement Find a formula for when m \sum k=0 the flooring function of[k1/3 ] ,m is a positive integer. Homework Equations n\prod j=m aj The Attempt at a Solution the flooring function of[k1/3] = K the summation of K is \frac{m(m+1)}{2} There's a table of...

I am currently in school getting ready to start on the electrical engineering program. I decided on this major for quite a few reasons. One of them being the obvious technical skills I would learn as well as application to my interests in everyday life. Another reason is the challenge, I wasn't...

How the observed variation of specific heat of solid can be explained by Quantum theory?

Can't find the error I made... Rudimentary problem i know but i can't find where my mistake is... Homework Statement A nonconducting sphere is made of two layers. The innermost section has a radius of 6.0 cm and a uniform charge density of -5.0 C/m3. The outer layer has a uniform charge...

I guess GR is also needed to accurately coordinate space flight, but I highly doubt without GR the space shuttle will have any problem finding its way back home. Gravitational lensing doesn't count as practical application. Maybe a subject with even fewer applications is quantum chromodynamics...

not sure if anyone has seem this, but I think its a great way to add energy efficiency. http://www.msi.com/index.php?func=newsdesc&news_no=591 (and no i don't work for them) dr

Homework Statement Prove that if f is a meromorphic function f:\mathbb{C}\rightarrow\mathbb{C} with |f(z)|^5\leq |z|^6\quad\textrm{for all}\quad z\in\mathbb{C} Then f(z)=0 for all z\in\mathbb{C} Homework Equations Liouville's Theorem A bounded entire function is constant. The...

Title really says it all. I'm concerned because I do have a criminal record (getting a pardon very soon).

I have a first generation Apple iTouch 16 GB, and frequently download podcasts to watch and listen to. With over 1 million applications written, I have searched in vain to locate an application that will allow you to launch a video, and instead of displaying video and audio to suppress the...

I was just studyin kinematics and was wondering what its application in modern world would be, what are the recent scientific developments that uses the concepts of 1 dimensional motion. Can anyone make me get really interested into it by telling me about its applications??

Homework Statement Given a constant magnetic field, B, into the plane of the board, how much induced current flows through R and C. Homework Equations Induced EMF =-d/dt (Fluxb) Iind= Induced EMF/R V= dx/dt = constant (velocity of sliding conductor) Lenz Law The Attempt at a Solution

Homework Statement Two sides of a triangle have lengths a and b, and the angle between them is theta. What value of theta will maximize the triangle's area? (Hint: A=1/2absin(theta) The Attempt at a Solution I have a triangle drawn, with the base being a, and the height being b...

Homework Statement Use Stokes's Theorem to evaluate \int F · dr In this case, C (the curve) is oriented counterclockwise as viewed from above. Homework Equations F(x,y,z) = xyzi + yj + zk, x2 + y2 ≤ a2 S: the first-octant portion of z = x2 over x2 + y2 = a2 The Attempt at a...

Homework Statement Show that {p \choose k} = \sum^{k+1}_{i=1} {p-i \choose p-k-1} where \forall k < p \in \mathbb{Z} and p a prime. Homework Equations This is part (b) to a problem. Part (a) is showing that 1 + x + x^2 + \cdots + x^{p-1} is irreducible in \mathbb{Q}[x]. The Attempt...

Hi, I am working on Mechanics by Landau and Lifgarbagez, and I have almost completed section 10 on mechanical similarity (in Volume 1, 3rd edition). However, I'm having some difficulty solving the problems at the end of the section. I have tried both of them, and I even found the correct...

Homework Statement Please tell me about NMOS and PMOS, What are their Structure and Application Homework Equations The Attempt at a Solution

Not sure where to put this, but if it's wrong, sorry... I just looked at the Nieto, Anderson paper on arXiv: arXiv:0907.3418 "Earth Flyby Anomalies" Funnily enough, it's about anomalies in the velocity of probes doing Earth flybys! This has hit the scientific news (New Scientist this...

Hi, We would like to connect an amplifier to produce the appropriate alternative current for a high frequency actuating system. Who here knows where I can find an opamp with the following charachtristics: 1) Non-inverting 2) Amplifies an alternating input current 3 to 5 times 3) Works...

I'm currently applying to grad school for a masters in pure math, and saw that carnegie mellon has no application fee. Can you guys think of any other decent math grad programs that have no application fees?

Hello everyone, first time poster here. I've been a lurker for about a week, but finally decided to join because I cannot for the life of me figure out this problem. Homework Statement Zach has trouble with the Quotient Rule; he thinks that d/dx (f(x)/g(x)) = f′(x)/g′(x). On his last...

In the vicinity of antenna, electric field strength have terms that vary as 1/r, 1/(r^2), and 1/(r^3). The terms varying as 1/(r^3) are called the quasi-electrostatic field which can be analyzed with the theory of electrostatic field. The condition is that the size of interested area is less...

Homework Statement Let f: \Re \rightarrow \Re and g: \Re \rightarrow \Re be functions such that lim_{x \rightarrow 1} f(x)=\alpha and lim_{x \rightarrow 1} g(x)=\beta for some \alpha, \beta \in \Re with \alpha < \beta . Use the \epsilon-\delta definition of a limit to prove...

Homework Statement Can anyone here help me find how and where trig identities are used in real life. can you also tell me which identity(with example) and is used for what purpose and how. Homework Equations The Attempt at a Solution I found out that it is used in the field...

Question: Find the number of zeroes of the equation $ z^7 - 2z^5 + 6z^3 - z+1 = 0 $, in the unit disk. We have Rouche's theorem which says that if f(z) and g(z) are two functions analytic in a neighborhood of the closed unit disk and if |f(z) - g(z)| < |f(z)| for all z on the boundary of...

Hello all, I'm finally preparing to apply for PhD, so it is time to write a good CV. My situation: I'm about to finish my MSc degree (research based) and intend to apply to several universities in Europe, mostly in the UK and Germany. Do you think I should list the research projects I...

I saw in an application of Sylow's theorems, it said we have something like a group of order 28 = 2^2 x 7, so we have either 1 or 7 sylow 2-subgroup. Assuming we have 7 sylow 2-subgroups, then we have 21 non-identity elements and the identity, and we have 1 sylow 7-subgroup, blah blah blah...

I'm not sure if this is the right area to ask about this, so feel free to move the topic if it's not. I'm interested in learning a little more about metaphysics and its application in philosophy. Where should I start reading. I'm trying to stay away from Aristotle and get a little more of a...

I am adding a function to the rear Turn Signals on my motorcycle (12vDC negative ground system). Turn Signals have 1157 incandescent bulbs - they have two filaments and three wires: ground, hot to running light, and hot to flasher. I want my Turn Signals to ALSO act as Brake Lights. So all...

Homework Statement A factory has a machine which bends wire at a rate of 4 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 8? My professor likes to give us things we've never seen before on our weekend quizzes. The above is one such...

Hello all, Does anyone know how to open a .pdf file (or a .exe) file from a Visual C++ 2008 express edition program? What I am trying to do is to have the user enter a number that corresponds to a certain .pdf file and have that .pdf file open for the user to read,save,print, etc ...

Homework Statement Molecules with diffusion coefficient of 1.0 x 10^-10 m^2s^-1 are released at a constant rate of 10^10 molecules/s in the middle of a large pool and dffuse away ( assume the 3-dimensional pool is of infinite size). What is the steady state concentration 1 cm away from the...

Application of a Limit of a multivariable function..HELP! Homework Statement if f (x,y) = (xy^2)/(x+y^2). prove that for every real number a there is a path along which f (x,y) will approache a, as (x,y) is approaching (0,0). Homework Equations f (x,y) = (xy^2)/(x+y^2) A as a...

I have a test application that required a high velocity (subsonic) air trough a restriction in a close loop system. I would like to know which circulating fan would be suitable (axial, centrifugal, mixed flow, turbo) since the fan will have a backpressure from the close loop arrangement...