Applications Definition and 627 Threads

Hi all, My math is kinda weak but I'm re-attempting a precalculus course . I was just wondering exactly how the unit circle helps me?? I mean,I can generate it quite easily(from memory,but)...but why not just convert to degrees and enter it into my calculator? Also,finding angles that...

Basically I have to write a 2 page report briefly on some applications of markov chains, other than Population dynamics and gambling scenarios. It would be great if someone could give me some ideas on relevant applications of these, fairly simple ofc :P The more indepth i read into markov...

Homework Statement A simple eigenvector problem using a 2x2 matrix. Homework Equations Ax = \lambda x The Attempt at a Solution I don't have one. I know and understand the theory behind eigenvectors, but I cannot think of a practical application. I need to create a problem that uses...

Q: Prove that if f: R^n -> R is defined by f(x)=arctan(||x||), then |f(x)-f(y)| <= ||x-y|| FOR ALL x,y E R^n. [<= means less than or equal to] Theorem: (a corollary to the mean value theorem) Suppose f is differentiable on an open, convex set S and ||gradient [f(x)]|| <= M for all x E S...

I wanted to know in what applications there is a great need for very accurate temperature sensing in other words If you could measure surfaces with an accuracy of 10X what you can measure today – would that gain you anything? Or what applications would such accuracy be most useful for...

[SOLVED] Applications of Partial Derivatives-Cone Homework Statement (Q) (Q) If a cone grows in height by dh/dt = 1 and in radius by dr/dt = 2, starting from zero, how fast is its volume growing at t =3? Homework Equations The Attempt at a Solution By applying the chain rule...

Homework Statement The lengths a,b,c of a rectangle are changing with time. At the instant in question, a=1m, b=2m, c=3m and da/dt = db/dt = 1m/sec, and dc/dt = -3m/sec. At what rate is the box's volume changing at this instant? Homework Equations Chain rule for partial derivatives...

Hello, This is my first post on the forums. It's mostly elicited by anxiety about getting into grad school. I have seen a bunch of similar posts, and extrapolated as many data points as I could from them (in terms of where to apply, etc). But it's always nice to receive personalized...

Q: A particle is following the path C: f(t)=(2cos(t), 2sin(t), t), t>=0, and flies off on the tangent line at time t=3pi/2. Find the position of the particle at time t=5pi/2. Solution: f'(t)=(-2sint,2cost,1) f'(3pi/2)=(2,0,1) f(3pi/2)=(0,-2,3pi/2) Equation of the tangent line...

Are there any applications for the lissajous figures? I haven't seen any applications for them besides the ABC logo so I was curious as to it's uses both in science and everyday life.

Two identical conducting spheres each having a radius of 0.460 cm are connected by a light 1.20 m long conducting wire. Determine the tension in the wire if 69.2 (micro)C is placed on one of the conductors. (Hint: Assume that the surface distribution of charge on each sphere is uniform.)...

Hi, I'd like to know all about different methods to produce ultrasound and its applications. Can somebody give me detailed description of the methods of production of ultrasound? Or at least give me the links for such descriptions? Regards. -- rAgAv

Does anyone know if it is possible to store hydrogen in aerogels?

Homework Statement 32. Three gears are arranged as shown in the figure below. Find the angle \phi 46. Prove that the area of a parallelogram is the product of two adjacent sides and the sine of the included angle. Homework Equations The Attempt at a Solution 32. I assumed...

i've got a problem about the thevenin and Nortn models applications. i've been given a table giving 3 outpout voltages(v1= 200v,v2= 150V,v3 = 100v) from the voltage sources with their corresponding current(I1= 0A,I2= 12A,I3=22A). The question was to draw a V-I diagram and draw the...

Does the Simpson's rule of numerical integration (\frac{1}{3}h\left( {f_0 + 4f_1 + f_2 } \right)) give exact values for all polynomials to a third degree i.e., linear functions, quadratic functions, and cubic functions? Is there a better method for numerical integration approximation? One...

Excuse me, since the question could be misplaced to this board while a better forum board might fit: Why is Geometry in High School, the college preparatory course, important for any PRACTICAL puposes, when Intermediate Algebra, Trig+Math Analysis, and Statistics seem so much more practical...

I have read a bit about Tesla turbines and their amazingly high RPM output. I have also read that they don't product much torque, which is possibly why they haven't been used in anything more than dentist's drills and other things requiring speed but not high torque. How much power could one...

Homework Statement A box with a square base and an open top has a volume of 4500cm^3. What are the dimensions of the box that will minimize the amount of material used? (Remember that the amount of material used refers to the surface area of the box). My buddy and I spent a solid hour on...

Hi, This latest announcement on the development of something resembling a BEC using polaritons seems interesting: http://physorg.com/news98645866.html http://physicsweb.org/articles/news/11/5/17/1 So I'd like to know what the implications of this development are. Could this...

find the volume of the solid by rotating the region bounded by the given curves about the specified line, y=x^4, y=1; about y=2 how do i set up the problem so i can figure out the area, i don't need the answer, and i already graphed it, and i already rotated the graph,

Homework Statement A projectile is launched upward. Its height above the ground after t seconds is -16t^2 + 320t. After how many seconds in the air will it return to the ground? Solve algebraically. Homework Equations ax^2+bx+c=0 ? -b (+/-) (Square root of b^2 -4ac)/2a ? The...

What should an internship application consist of? Should it contain a brief introduction even though the resume has been attached? Should the long term goals be mentioned at all?

As a Grade 12 student that is often required to find the roots of quadratics for math, physics, and chemistry problems, I wondered whether there would be any methods for solving these problems excepting the quadratic formula. I was pondering the implications of calculus in algebra and, although...

Homework Statement Find any critical numbers of the function Homework Equations g(t) = sqrt (4-t) , t < 3 The Attempt at a Solution I'm not really sure how to find a critical number when square roots are involved. I do know typically when finding the critical number you find the...

Was wondering if anyone is familiar with lorenzt force? Here is the problems whatever help you can give that would be great thank you in advance. Does anyone know a good site to practice these types of problems Homework Statement An electron is moving initially in the +x direction in a...

Hey, has anyone heard from REU programs? I applied to the following mathematics REU: ASU - ? Calstate Chico - ? Calstate San Bernardino - ? Cornell - (no way I am getting in) ? Grand Valley State - ? Penn State University Park - ? University of Wisconsin - ? Pitzer - ? Williams...

answer me this is urgent.. can you tell me the general properties of superconductivity and applications of superconductivity? if any websites are there,please tell me the sites i will search,i have gone through google but i couldn't get the answer.if anybody pls send it as a link...please it...

I am stuck on the following questions lately. I hope someone can explain/help me out, any little help is greatly appreciated! :smile: 1) Let f(x) = x^3 - 3x + b. 1a) Show that f(x)=0 for at most one number x in [-1,1]. 1b) Determine the values of b such that f(x)=0 for some x in [-1,1]...

I am currently applying to several physics REUs for this summer, in the hopes of being accepted into at least one of them! Since this is my first attempt at this endeavor I am a bit concerned as most applications include sections for "Honors and Awards" and etc. Currently I am a Junior with no...

I have heard about the use of SR in GPS systems. A friend of mine asked whyh it is necessary for GPS systems to be able to measure time so accurately? What has time got to do with finding one's location? Also, I've heard about the application of SR by physicists doing high energy...

I'm currently an undergrad at Georgia Tech and I would really really like to go to MIT or another top school. The way it currently it is I have to take 12 hours next semester and 13 hours the semester after that to graduate. Someone suggested taking graduate level classes. My courseload is...

I'm finishing up my BSc this year and am applying to PhD programs in math for next fall. All the applications want me to write some sort of personal statement. For example, Princeton gives the following instructions: Please write a statement of your academic and future career plans as they...

I'm a physics undergrad who's had some experience with Java and Fortran and a little bit with C++. I've only taken one computer science course which taught me the basics of Java, so I've been somewhat shielded from other programmers and from programming as it's done in the "real world". I have...

Hi, I am stuck on this problem, any feedback would be greatly appreciated. Thank you... The leaning Tower of Pisa is 55 m high and 7.0 m in diameter. The top of the tower is displaced 4.5 m from the vertical. Treating the tower as a uniform, circular cylinder, (a) what additional...

I have to present shortly five applications of vector dot product in physics, for example: W=F*s. I am not quite clear about vectors, so could someone advise me.

The voltage, V, in volts, in an electrical outlet is given as a function of time, t, in seconds, by the function V = 156\cos(120 \pi t). (a) Give an expression for the rate of change of voltage with respect to time. (b) Is the rate of change ever zero? Explain. (c) What is the maximum value of...

I was wondering if some of you could describe a couple of the applications of a neutron generator and or suggest some further reading on the types of such?

Hi, I am having trouble visualizing this problem, if anyone can help me see it, I know how to do the integral part. A church steeple is 30 feet tall with square cross sections. The square at the base has side 3 feet, the square at the top has side 6 inches, and the sides varies linearly in...

I have to write about the applications/uses of specific heat capacity. I know what SHC is- the amount of heat required to raise the temperature of 1kg of substance by 1°C/ 1K. But I have no idea how that can be applied anywhere or anything.. I've searched the entire internet for the...

How would you quickly derive the binomial series? Would you have to use Taylor's Theorem/ Taylor Series? And does the Binomial Theorem follow from the binomial series? Are there any applications at all of the binomial series/ Binomial Theorem to special relativity? I know the binomial series is...

Hello all, I have a question concerning the Tangent and Secant Functions (the graphs). I cannot think of a way that either of these can be used in the real world. I need to find applications for these. For example, the sine function can be used to represent waves or periodic motion... but...

# A mass spectrograph determines: a)spectrum of light b)charge of the ion c)specific charge of positive rays d)specific charge of cathode rays I know that a mass spectrograph has been used to determine the specific charge of positive ions and we may get 1, 2, 3… Parabola’s depending on the...

Ok I have taken Geometry, Algebra one and two and have 2 more days of pre cal left and I have been worken with logs and stuff like solveing, simplyfing and factoring them but I never found out what they are for... I know how to solve the problems but what do they apply to in real life?

Hello all, I am a newbie here, and I have a couple of things to ask with relevance to what I'm doing here... but first I'll want to introduce myself, I'm an Electronics and Communications Engineering freshman (turning sophomore this school year 2006-2007) studying in the Philippines. I'm...

Pade Approximation states that a power series can be written as a rational function. Which is a series divided by another series. (An easy example of this will be the geometric series with mod'r' < 1) I've read books about the abstract bit of this. But I am completely stuck when it goes onto...

for our project in calculus, I am doing a presentation on the basics of complex analysis. Somewhere along there I need to tackle the question: what are the applications of complex analysis? Are there any application problems that I can give that involve basic derivatives/integrals of complex...

Hey, Guys! I wonder what applications of Ramsey's famous theorem there exist apart from such cases as: 1) constructions of functions in the domain of natural numbers to check some properties of sequences of real numbers. 2) propositions about points in convex postition (Erdos-Szekeres...

"I just formulated Bernoulli's principle! What are some applications?" Do physicists ask/answer these kind of questions? Moreover, are physicists paid to answer these kind of questions or am I thinking too much like an engineer? I'm thinking along the lines on John Bardeen et al. with their...

Hi I have to prepare a presentation on radio frequency imaging, applications and technical aspects etc. Unfortunately the uni library has closed and my google searches appear to be coming up rather thin (more RF coils in imagers than RF imaging). Does anyone know where I could find some...