PhoenixFire
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Questions Asked

PhoenixFire:
Particle moving in spiral where decreasing radius r is given by \(r=bct\) and the angular velocity increases \(w=kt\) . Where b,c,k are con…
 updated 7 days ago
 No Medals Yet
Mathematics

PhoenixFire:
A free electron in an oscillating field experiences a force \(\mathbf{F}=e\mathbf {E}(t)\), where \(\mathbf {E}(t)=\mathbf {E_0}sin(wt)\) a…
 updated 11 days ago
 5 replies
 2 Medals
Mathematics

PhoenixFire:
Calculating errors.
if uncertainty in x = 5% and \(y=\frac{1}{100} x\) and \(z=x+y\) calculate the error in \(z\) when the uncertainty in y…
 updated one month ago
 No Medals Yet
Mathematics

PhoenixFire:
Calculating errors.
if uncertainty in x = 5% and \(y=\frac{1}{100} x\) and \(z=x+y\) calculate the error in \(z\) when the uncertainty in y…
 updated one month ago
 No Medals Yet
Mathematics

PhoenixFire:
\[F(x)=\int _{ 1 }^{ ln(x^{ 2 }+e) }{ sin(e^{ t }) } dt\]
Find F'(x).
Not sure how to do this, I understand from the Fundamental Theorem o…
 updated 5 months ago
 4 replies
 1 Medal
Mathematics

PhoenixFire:
If everyone on the earth lined up around the equator and started running east at 2.5 m/s (EDIT: velocity is relative to surface of the Eart…
 updated 5 months ago
 52 replies
 3 Medals
Mathematics

PhoenixFire:
Calculating the Spring Constant.
A bungy cord 20m in length has a 85kg ball attached to it. The ball is dropped off a 45m building and s…
 updated 5 months ago
 No Medals Yet
Mathematics

PhoenixFire:
Pressure variation of helium gas in equilibrium is given by \[\triangle P=2.9x{ 10 }^{ 5 }cos(6.2x3000t)\] where x and t have units m and …
 updated 6 months ago
 No Medals Yet
Mathematics

PhoenixFire:
\[\int_{e^1}^{e} {\frac{1}{t(1+\left  ln(t) \right )} dt}\]
Can anyone guide me on starting this integral? I've tried numerous times but…
 updated 6 months ago
 10 replies
 No Medals Yet
Mathematics

PhoenixFire:
An inductor is connected to an AC power supply with maximum output voltage \(V\) at frequency \(f\).
What inductance is required to keep th…
 updated 7 months ago
 6 replies
 1 Medal
Mathematics

PhoenixFire:
Simple algebra that I apparently cannot do... Can anyone help here? Simplify the following:
\[{x\frac{1}{x}}={y\frac{1}{y}}\]
…
 updated 8 months ago
 10 replies
 1 Medal
Mathematics

PhoenixFire:
A uniform rod of length 'L' sits at rest vertically. The base of the rod is connected to a frictionless pivot.
It then falls over under th…
 updated 8 months ago
 1 reply
 No Medals Yet
Mathematics

PhoenixFire:
Net force between three long wires (undefined length) must equal zero.
Wire 1: Current going Up \(I_1\)
Wire 2: Current going Down \(I_2\)…
 updated 8 months ago
 31 replies
 2 Medals
Mathematics

PhoenixFire:
Funtion Definitions
*Need editor hold on*
 updated 8 months ago
 7 replies
 2 Medals
Mathematics

PhoenixFire:
Confused here...
\[F=mg=m \frac{GM}{r^2}\]
We know 'g' is an acceleration which is \(ms^{2}\)…
 updated 9 months ago
 4 replies
 2 Medals
Mathematics

PhoenixFire:
Evaluate the surface integral:
\[\iint _{ S }^{ }{ \vec { F } \cdot \vec { dS } }\] Vector field: \[\vec { F } =<y,zy,x>\]
Surface 'S'…
 updated 10 months ago
 2 replies
 No Medals Yet
Mathematics

PhoenixFire:
Evaluate the surface integral:
\[\iint _{ S }^{ }{ z } dS\]
Where S is the surface \(x=y+3z^2\) for \(0\le y\le 1\) and \(0\le z\le 1\)
 updated 10 months ago
 5 replies
 2 Medals
Mathematics

PhoenixFire:
Factoring a cubic polynomial.
\[x^3108x^2+3564x34992\]
…
 updated 11 months ago
 14 replies
 1 Medal
Mathematics

PhoenixFire:
Double Integrals
Find the volume of the solid \(z=(x^2 + y^2)1\) between the two plates z=0 and z=1
…
 updated 11 months ago
 43 replies
 No Medals Yet
Mathematics

PhoenixFire:
Two point Charges each with a charge of +10nC sit at (0,0,0) and (1,2,1). Find the Electric Field E at point (4,4,4).
Give me a second to…
 updated 11 months ago
 3 replies
 No Medals Yet
Mathematics

PhoenixFire:
How do I use Gauss' Law to show that the electric field of any point inside (r<R ) the hollow sphere is 0?
 updated 11 months ago
 2 replies
 1 Medal
Mathematics

PhoenixFire:
What is the spherical equation for the sphere located at (0, 0, 1) with a radius of r=1?
 updated one year ago
 1 reply
 No Medals Yet
Mathematics

PhoenixFire:
Equation of a sphere in Spherical Coordinates.
Is there a general form for this?
…
 updated one year ago
 No Medals Yet
Mathematics

PhoenixFire:
A little tip: If you find some math thing done in \(\LaTeX\) you can Rightclick it and choose "Show Math As" then click "TeX Commands"
This…
 updated one year ago
 3 replies
 3 Medals
Mathematics

PhoenixFire:
I saw this a little while ago and wanted to figure out how to prove that it's invalid.
\[1+2+4+8+...+\infty= 1\]
Proof is as follows:…
 updated one year ago
 7 replies
 1 Medal
Mathematics

PhoenixFire:
How do you find the derivative of
\[{cos(x)}^{cos(x)}\]
 updated one year ago
 9 replies
 2 Medals
Mathematics

PhoenixFire:
Prove by induction that \[(A_1A_2...A_n)^{1}={A_n}^{1}...{A_2}^{1}{A_1}^{1} \]\[\forall n\in \mathbb{N}\] and A_i for i=1, 2, ... are in…
 updated one year ago
 20 replies
 2 Medals
Mathematics

PhoenixFire:
How do I find the lifetime of a component with reliability function: \[R(t)=e^{0.01t}\]
I calculated the probability density function: \[f(…
 updated one year ago
 5 replies
 No Medals Yet
Mathematics

PhoenixFire:
Use elementary row operations to find the inverse of \left[\begin{matrix}2 & 1 & 3 \\ 4 & 2 & 1 \\ 0 & 4 & 2\end{matrix}\right]
I kno…
 updated one year ago
 17 replies
 3 Medals
Mathematics

PhoenixFire:
Does anyone know how to calculate how many times a ball will bounce if dropped from some height?
Information:
Restitution = 0.85
…
 updated one year ago
 56 replies
 2 Medals
Mathematics
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