Hello,
I'm having trouble imagining a specific portion of a homework problem.
Heres the problem:
"Consider a ligand stabilized gold nanoparticle. The gold nanoparticle itself can be
considered as “box” and the ligands as the “walls”. If the de Broglie wavelength
of the gold...
Homework Statement
A voltmeter will be used to measure the voltage vA in the circuit below. Assume that the voltmeter has a resistance of 100[ohms] and a full-scale voltage of 20[V].
a) What will the voltmeter read?
b) What is the percentage error in making this reading?
Homework...
Homework Statement
For the following data, find the least squares fit of the given form
x=1,2,3,4,6
y=14,10,8,6,5
h(x)=ae^x+be^(-x)
Homework Equations
The Attempt at a Solution
So I tried to linearize the equation by taking the natural log of everything...
I wrote the question a little wrong....
I meant
U'(t)=A u(t)+V
Where A is just a regular 2X2 matrix and V is a 2x1 vector.
like this
U'(t)=(1,2;3,4)U(t)+(1;e^t)
I already know how to solve systems such as
U'(t)=Au(t) by using the eigenvalues & eigenvectors of A but I haven't learned...
Hey guys,
I have a quick question about adding a vector to a system of differential equations.
Like U'(t)= Ax+V
Say A is a 2x2 matrix and V is a 2x1 vector.
Can you all explain how I could handle that V vector? Should somehow include it into A?
Remember Integration by Parts has "tricks"?
Try setting your equation to
\int exp(t/10)sin(t)dt =20et/10 - et/10cos(t) - (1/10)et/10sin(t) - (1/100)\int et/10sin(t)dt
Try my way...
e^(.1t)x'+.1e^(.1t)x=2+sin(t)
The left side is just the product rule. So if you do this:
d/dt(e^(.1t)*x)=2+sin(t)
Then you can do a really simple integration. But you could also do it Dick's way.
:)
The multiplicative inverse is 1/(x-3), this does not apply when x=3...
Hmm... I was thinking about this before but I felt it wasn't right. Should I multiply row 3 by the multiplicative inverse ?
You're on the right track.
Remember you have a dx/dt on the left so the equation would be
(dx/dt)+.1x= 2+sin(t)
by turning this into a different notation you get:
x'+.1x=2+sin(t)
So then you can now multiply by the integrating factor and get
e^(.1t)x'+.1e^(.1t)x=2+sin(t)
Does the left side...
Ok, I reworked it and I got this:
3, 0, 6, 1, 0, 0;
0, -2, 1, 1/3, 0, -1;
0, 0, (X-3), -2/3, 1, 1;
So would this matrix not have an inverse since I can never get the Identity on the left? It seems like it I'll keep getting number when I do row reduction after this...
Hi everyone!
Homework Statement
Find the inverse of the following using row reduction. If it does not exist, indicate clearly why.
3, 0, 6;
1, -2, x;
1, 2, 1;
2. The attempt at a solution
I started by augmenting with a 3 by 3 Identity matrix:
3, 0, 6, 1, 0...
Oh I'm sorry, I forgot to add something. He wants us to find a cylinder's radius that contains half the stored electric potential energy.
Yea theres a picture he showed us, a long cylindrical capacitor. The picture shows a cross section of the cylinder. The smaller cylinder within the...
Homework Statement
Hey guys, My prof asked us to find the radius of a cylinder within a cylindrical capacitor with 2 radii a and b. I know we use the Capacitance formula for a cylinder but I cant seem to get pass the q that shows up when I plug it into the 1/2 c*V^2
EDIT: He wants us to find a...
Does anyone have any clue????
If it helps, I tried to set the third variable as a number and first and second as equations in terms of each other (i.e 1st in terms of 2nd).
Homework Statement
Give a least squares solution to Ax=C and give the residual error
A=
-1, 1, 2;
1, -1, 0;
1, -1, 2;
C=
-1;
-1;
2;
Homework Equations
Residual Error= |Ax-C|
The Attempt at a Solution
I have done an RREF on the Transpose of A times A...
I figured it out... but now I need to find the work done and the total heat entered into the system. I know it has to do with
U=Q-W
and the use of the other path(ABC).
Homework Statement
One mole of an ideal diatomic gas undergoes a transition from. a to c along the diagonal path
What is the change in internal energy?
Homework Equations
The Attempt at a Solution
I've tried to use the two other paths since the internal energy is the same both...
Homework Statement
When force F(force is at an angle Theda) is not too large, box m1(smaller top box) moves with box m2(bigger bottom box) without sliding. Find the magnitude of the acceleration of the two blocks.(see attachment)
Homework Equations
F=ma
The Attempt at a Solution...