Areas Definition and 246 Threads

What areas in physics would you like the "Theory of Everything" to explain? What are some of the mysteries in general physics, astrophysics, particle physics, etc would you like to see addressed when a theory of everything is finally forged? For me it would have to be what is dark...

I was given a problem with two functions and two x-values for boundaries, so I found the points of intersection (there were two) and attempted to find the area between those functions, but I didn't get to finish. In any case, I would have gotten it wrong, because when graph the two functions and...

Homework Statement Hi all hope this is posted in the right area, attached is an image showing what i have to figure out and I'm hoping there's a formula to do this instead of guess and check which I hope to avoid in future. Assuming all angles are 90° unless stated I wish to move the red...

Hi, Curve: x(x+1)(x-2) Find the area between the interval: (-1 to 2) Answer: The first thing I did was to find the x-intercepts: x=0, x=-1 and x=2 I then integrated the curve. I got: (x4/4)-(x3/3)-(x2) I then found the area between 0 and -1 and the area between 0 and 2. I added...

Just wanted to get people's thoughts on which fields of EE will have the most innovations/breakthroughs in the next few years.

I want to know in which area can an Electrical Engineer work in an Airport? and What would someone special on to be better in any of the areas in an Airport? Hope to hear from you soon! thanks

I am asked to consider the following graph: r2=a+sin(θ), where a=2 I have a picture of this plot, which I have attached, We are asked to find the area of the upper 'cresent' of the curve, contained at the top How would I go about calculating that? I've found that if I plot...

I would like to build an antenna that will be used in a very remote area to improve our cell signals. We have access to the GSM 850 (824.2 - 849.0 Uplink | 869.2 - 894.0 Downlink). I need help in calculating the antenna length based on the frequency and need advice on the most effective...

I can't figure how to solve this problem. Is says ∫∫(x^2)y dA where R is the region bounded by curves y=(x^2)+x and y=(x^2)-x and y=2. I can't figure how to do the limits with that. Please help!

Good morning! I'm having a bit of a hard time wrapping my mind around this concept. The part that seems to be troubling me the most is where Riemann Sums and sigma notation come in. I can't seem to find explanations online that help me better understand, so hopefully someone here could help...

Kleppner and Kolenkow's Introduction to Mechanics text on page 241 (1st edition) has: \frac{d}{dt}(r2\dot{\theta})=r(2\dot{r}\theta+r\ddot{\theta}) Is this wrong or am I missing something? I get: r(2\dot{\theta}+r\ddot{\theta}) ...by product rule. It seems at the least the book...

This is the problem I'm working on: http://i.imgur.com/PBMFG.png I'm very behind with normal modes and waves, and I need to figure out how to do this sort of question in time for my exams, so I'm hoping that you guys will be able to help me see how this can be answered. I've answered the...

This is the problem I'm working on: http://i.imgur.com/PBMFG.png I'm very behind with normal modes and waves, and I need to figure out how to do this sort of question in time for my exams, so I'm hoping that you guys will be able to help me see how this can be answered. I've answered the...

Hello, I am interested in finding out what are the primary fields of study for a degree in Mechanical Engineering. I also want to know how these fields of study fit together. If anyone can help, please contact me. Thank you.

Hi, I currently have a degree in Microbiology and am considering going back to school this fall for either mechanical or electrical engineering. I am interested in aspects of both so I was wondering about the job outlook/chance of employment in a few specific areas of each. These areas are of...

what is the area inside the graph of r=2sinθ and outside the graph of r=sinθ+cosθ? so i compute for the values of 'r',... but, i only got one intersection point which is (45°, 1.41). there must be two intersection points right? but I've only got one. what shall i do? i cannot compute for...

Homework Statement Find the area between y= 1/(x2+1) and the x-axis, from x=0 to x=1 The Attempt at a Solution so when x=0, y=1 and when x=1, y=1/2 next i plot the points, so the intersection of the given equation is (0,1) and (1,1/2) Yh= Y-higher= 1/(x2+1) Yl= Y-lower= 0 the...

Could you let me know which formula is Newton's Gravitation Law used for the three body or n body problem in general? Suppose there are n objects with the masses m_{j}, j=1,2,3,\dots,n and the displacement functions \mathbf{x}_{j}:\mathbb{R}\to\mathbb{R}^{3} with initial conditions of...

Why Single-wire Earth return systems are only used in rural areas? Why not also in urban areas where there is only demand for single phase power?

Homework Statement Show that it is possible to cut any convex polygon into 4 pieces of equal areas by using two cuts perpendicular to each other. Homework Equations None, it's just a proof I found on the back of my book. The relevant chapter is Continuity, the maximum principle, and...

Homework Statement Hello. Please refer to attachment for the question. Also, in the attachment, the diagram on the left was included with the question, whereas the diagram on the right is my attempt at representing the enclosed region, asked for in the statement. Homework Equations...

Homework Statement The question wants me to use this formula: ((4pi)^(1/3))((3v)^(2/3)) You have filled two round water balloons with water. One balloon contains twice as much water as the other balloon. Compare the surface areas of the two water balloons using the given formula...

How to find value in root finding exercise? I am designing a fountain for a Vegas hotel which sprays water in the shape of a hyperbola onto a screen. The hyperbolas shape is a function of several different variables. I am looking for conditions which will cause the area cast by the bottom and...

Homework Statement Find the area of the part of the plane 3x + 5y + z = 15 that lies inside the cylinder x^2 + y^2 = 25. Homework Equations A=∫∫(√1+(dz/dx)^2+(dz/dy)^2) dA The Attempt at a Solution my bounds were r=0 to 5 and theta=0 to 2pi ∫∫√1 + (-3)^2 + (-5)^2 dA =∫∫√35 dA...

I am currently reading the book "e: The Story of a Number" by Eli Maor. And I got stuck at something. In chapter 7 of the book, the author described the method Fermat used to calculate areas under curves of the form y = x^n, where n is a positive integer. I am quoting the relevant bit here...

Currently I am in my 3rd year of my B.E. in EE and I am really lost. What I learned from my school so far are, classes such as Linear System, Communication Theory, Digital Signal Processing, Microlectronics, Power, Control System, etc. I do learn about the basic theories and learn how to solve...

This is a problem I'm working on by myself and I'm not sure how to go about it because I do not know how to phrase the question in calculus terms. Imagine you have a simple quadrilateral between x=1 and x=4. A line passes from 1,2 to 4,5. The average height of the two points or of the line...

What are some "hip" areas of mathematics? What are some new, hot, hip, fashionable areas of mathematics? What are some research areas that are a hotbed of research now or have some ripe, low hanging fruit? I am trying to broaden my mathematical horizons, so to say. I am in the process of...

Homework Statement The question is to find the area of the region that lies inside both curves. The part I'm specifically having trouble with is finding the points of intersection. Homework Equations sin (2∅) cos (2∅) The Attempt at a Solution sin 2∅ = cos 2∅ 2 sin ∅ cos ∅ =...

I maintain that not only they can, but that observations illustrating the phenomena are common. To keep the thread from fragmenting too badly, I should like to propose the following rules of discussion: 1) Liquids shall be limited to water and air. 2) Only natural flows may be offered...

Hello. I just started to study integral calculus not long ago and I have some confusion when it comes to calculating the areas of surfaces of revolution using integral. As from my testbook, when we want to calculate this kind of surface area, we often use the frustum surface area to approximate...

In this picture I took of M33, the Triangulum galaxy, what are the small red areas scattered about in the galaxy? Some sort of star clusters? [PLAIN]http://img708.imageshack.us/img708/4899/m33c.jpg

Hey everyone. I see people give a lot of great advice in this forum, so I'd like to get everyone's input. I have a B.S. in Physics and I'm getting ready to start a graduate program in Meteorology to work on my Ph.d. I really would like to be a professor in the future. Now, I know that jobs in...

I am designing a trapezoidal prism basin that must contain a certain volume per acres contributing to the basin. Therefore, I would like to create a function that will size the basin. My question is: how can I determine the volume between two different areas? In this case these two areas...

Homework Statement "Find the area of the region that lies inside both curves (as an example), r=((sqrt(3)) cos(theta)) , r=sin(theta). This is Calculus 3. Areas and lengths in polar coordinates. Homework Equations Guys, I'm very confused because when the polar graphs are complicated we...

Hi, what mathematics does DSP use? And is it easy to use this knowledge to apply to other areas of study, where it's needed to study signals?

URGENT PLEASE HELP! what kind of pipelines are used in different areas This is what I know There are pipeline constructions types/classes A, B, C and D. The design factor for type A is 0.7. So I want to know what is the design factor for B,C and D. Also what types/classes of these pipeline...

What are the main topic areas you would stress on to be prepared for the Physics GRE? What are the books you would suggest?

Hello all, I'm trying to decide whether or not I'd be interested in pursuing a specialized Electrical Engineering degree in one of the many offered "Focus Areas" at my university, but I'm not sure which one best suits me. I have a tough time deiciding which focus area to pursure because as...

As a layperson...(Who is trying to understand the atom in a bit more detail). In the past, I have most often seen the atoms drawn with electron clouds that have bands of varying density. I understand the density of the bands represent areas of higher probability. I have often seen models...

Ethanol of density 791 kgm-3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1= 1.20 x 10-3 m2 to A2=A1/2. The pressure difference between the wide and narrow sections of the pipe is 4120 Pa. What is the volume flow rate of the ethanol? (Ans.: 2.24 x 10-3...

Homework Statement ζζs yz ds S is the part of the plane x+y+z=1 that lies in the first OctantHomework Equations ζζs f(x,y,z) dS = ζζd f(x,y,g(x,y)) sqrt(1+(df/dx)²+(df/dy)²) dAThe Attempt at a Solution turned dS into dA, and attempted many different regions. Always got an area that was 4-6...

Homework Statement Find the area of the part of the sphere x^2 + y^2 + z^2 = a^2(a > 0constant) that lies inside the cylinder x^2 + y^2 = ax. Homework Equations double integral of the cross product of the vector Ra and Rb with respect to dA. The Attempt at a Solution I tried to parametrize...

If wormholes connect two areas in spacetime, wouldn't that require 5 dimensions? (an extra dimension past 4d spacetime.)

Hello, I actually have an exam coming on series, sequences, polar coordinates and parametric equations. The only major thing I'm having problems with is finding area with polar coordinates. Especially when it comes to finding the "area under both curves" for example:"Find the area under both...

if water is flowing in a streamline motion then at 2 points at same horizontal level can the pressure be same if area is not same ? please help!

Homework Statement ABC and BDE are two equilateral triangles such that D is the midpoint of BC. If AE intersects BC at F, show that :- (i) ar(BDE) = 1/4 ar(ABC) (ii) ar(BDE) = 1/2 ar(BAE) (iii) ar(ABC) = 2ar(BEC) (iv) ar(BFE) = ar(AFD) (v) ar(BFE) = 2ar(FED) (vi) ar(FED) = 1/2ar(AFC)...

Homework Statement A right circular cone of diameter r cm and height 12 cm rests on the base of right circular cylinder of radius r cm. their bases are in the same plane and the cylinder is filled with water up to a height of 12 cm. If the cone is then removed, find the height to which water...

Homework Statement Let f:[a,b] -> \Re be an integrable function Suppose f\geq0 and let K = { (x,y) : x\in [a,b] and 0\leqy\leqf(x)} Show that K is Jordan Measurable and its area = Integral from a,b [ f(x)dx] Homework Equations The Attempt at a Solution Ok so I first proved...

Hi Everybody, I have two questions, please share your opinions being as specific as possible. 1. Which fields of research in Physics do you consider to be most exciting and interesting? 2. Which fields of research in Physics do you consider to be most useful or applicable in industries...