View attachment 82531

I thought of using the divergence theorem where

View attachment 82534

I find that ∇.F = 3z

thus integral is

∫ ∫ ∫ 3z r dz...

Using divergence theorem?]]>

If ##u(x,t)\in \mathbb R, x\in[-\pi,\pi] ## represents a standing wave with ##u(\pm\pi,t)=0## Then what is the most general solution u(x,t)?

Using the...

General solution for a standing wave to the wave equation.]]>

Why so many people recommend Spivak, Apostol, and Courant calculus textbooks, especially as a preparation toward the advanced courses like analysis and abstract algebra? Are they really necessary? I have been studying Apostol's Mathematical Analysis, Rudin's PMA,...

Why "Transition Books (Apostol, Spivak)" are necessary?]]>

This is a past exam question which I just for the life of me can't figure out.

http://tinypic.com/r/2eq6ryo/8

My guess is that the energy...

Calculations of a half loop electromagnet]]>

How many paper i get from 1 mol of atoms, what contains the paper?

How many grams, or pieces of A/4 size papers?]]>

Two observers, A & B, each with standard clocks are travelling at 0.866c relative to one another, then each will read the others clock as running at half the speed of their own (lorentz factor 2)

If a...

Do clocks really run slow?]]>

Two long, conducting cylinders of thin metal with radii ##R## and ##5R##, respectively, are arranged concentrically so that their axes coincide. The smaller cylinder is placed inside the larger one and the space between them is...

Electric Displacement (Gauss's Law)]]>

Do parallel mirrors keep accelerating away from each other?]]>

Wooden qube with 12cm faces floating inside water and oil in 2 layers.

The oil floats over the water.

Water density: 1gr/cm cubed

Oil density: 0.8 gr/cm cubed

What is the mass of the cube....

Fluids, mass of object floating over oil above water]]>

$$x^2+138x+317=y^2$$

How do you find the integer solutions?

For example wolframalpha has the solutions. but I cannot see how they are derived...

given quadratic equation how are the integer solutions found]]>

The question asks me to convert the following integral to spherical coordinates and to solve it

Finding limits of integral in spherical coordinates]]>

Consider a sphere of radius ##R##

Calculating the E-Field inside and outside a sphere.]]>

Thank you for stopping by this thread. I'm an engineering student rekindling an interest in Maths. I just love studying Maths in my free time (and sometimes it trespasses into my non free time). I have plenty of fantastic books on my iPad and it's really helping me.

However, I have...

How to take notes in self studying Maths ?]]>

Requirement of this resistor?]]>

Induced current in a circular loop]]>

Which mathematics courses would you recommend?]]>

Marcus's 'no-pressure' model in different jacket]]>

A pilot points an aircraft due west, while the wind blows towards the NNE (45 degrees north of east). The resultant velocity of the aircraft over the ground is 64 m/s, 25° N of W .

(a) At what speed does the wind blow, and

(b)...

Speed of wind and speed with respect to wind]]>

A particle of mass m in the one-dimensional harmonic oscillator is in a state for which a measurement of the energy yields the values ##\hbar\omega/2## or ##3\hbar\omega/2## each with a probability of one-hald. The average...

Quantum Mechanics: Harmonic Oscillator]]>

I think that by...

Electrical physics question]]>

By no means do I consider myself a professional by any means, but I have been putting out an...

Can time equal 0 in a Singularity?]]>

A Steiner Triple System, denoted by ##STS(v),## is a pair ##(S,T)## consisting of a set ##S## with ##v## elements, and a set ##T## consisting of triples of ##S## such that every pair of elements of ##S## appear together in a...

Combinatorics: Steiner Triple System]]>

Faraday Cage not working]]>

243 is a decimal number. You must convert it to base n, where n will be computed using the

digit (d) 5.

For example if your digit (d) was "7" , then n is

calculated as :n = d % 6 + 2 (where d = 7) = 7%6 + 2 = 3

Number Systems]]>

Find the average velocity of shell while its moves a velocity v' and expands a velocity v.

Sphere radius is R

Expansion velocity v

Movement velocity v'

I think theres no need an equation.

Find average velocity of a sphere which expands and moves]]>

I have read every post I've found on here about this subject, but for some reason the answer is elusive - I suspect due to an issue with units.

Here's the problem.

vInitial =...

Watts accelerating mass in a frictionless environment]]>

Thanks]]>

trigger for a Zn oxidation reaction in a battery Reference]]>

Uncertainty of position in an infinite potential well]]>

With just a B.S. in Physics, what percent of the threads on PF can you contribute to conversationally or answer (if it's a question thread), and what percent are on topics with which you are familiar enough to understand the subject?

Personally, I could contribute...

Question for those with a four-year degree in Physics:]]>

Recall the definition of the overlap of wave functions Φ and Ψ:

[; (\Psi , \Phi ) = \int\limits_{-\infty}^\infty dx\: \Psi ^{*} (x)\Phi(x);]

Let ψ1(x) and ψ2(x) be unit-normalised wavefunctions representing sharp-energy...

Finding overlap of fuzzy energy states]]>

Question about Virtual Particles]]>

Egomotion 3D from 2D]]>

Determine the rectangular and polar radii of gyration of the shaded area about the axes shown.

How to determine rectangular and polar radii of gyration?]]>

Calbuco volcano erupted Wednesday for the first time in more than 42 years. Authorities ordered the evacuation of the 1,500...

Calbuco volcano erupts in Chile]]>

Fourier Decomposition]]>

View attachment 82565

Where $$v = y - bu$$

It's given that the transfer function is

$$h(t) = b u(t) + v(t) = b \delta(t) + e^{at}b \mu(t)$$

I can't seem...

Finding Impulse Response from Block Diagram]]>

i want to know how to make liquid nitrogen?

i wont make a one. but i only want to know how to make it .]]>