I'm stuck on how did the author managed to convert the axis angle to a 4x4 homogenous matrix.
Here's the code below. The bolded ones are the one I'm struggling at right now.
Before he use the code above. He converted the axis angle to quaternion first which is the one below. I somehow managed...
It's not after, it's before. lol
Anyway, I remembered I told to myself last semester on my calculus 1 class that I really want to get 95% on my next class but I definitely failed. The exam is really easy except for the 3 problem. The first and second one is in trigonometric integrals and the...
OK I got my overall final grade in Calculus II. It is pretty low, only 80% and really made me want to blame myself for not really studying on my finals because I had a bunch of work to do the week after. I studied for many hours the day after, but it is really bad idea for me to study the day...
Homework Statement
Use the method of cylindrical shells to find the volume generated
by rotating the region bounded by the given curves about the
specified axis. Sketch the region and a typical shell.
y = 4x - x^2, y = 3; about x = 1
Homework Equations
?
The Attempt at a...
@D H
Landau got it.
@Landau
So it is not a vector space because when you multiply it to a negative scalar, it will go down to the 3rd quadrant? Isn't it adding negative vector would make it go outside the 1st quadrant? So it should follow that also?
If I understand it correctly, for...
He gets only the positive vectors. But I don't get which is not a vector space. What I understand is vector space maybe a R^2, R^3 or R^n.
Can anyone here explain it more clearly? I don't get what he said.
http://www.youtube.com/watch?v=JibVXBElKL0" @ 29:55
I thought it is (e^x)^2 with u = e^x
so it should be u^2 but he get only u without a square. Can anyone here explain it.
The red box.
http://img6.imageshack.us/img6/3272/whatj.png
How did he get x = 2 with this equation? 4x - x^4/8 = 6
Here's my solution:
32x - x^4 - 48
x( x^3 - 32 ) + 48 <---- Now I'm lost. Did he use this one? (a-b)(a^2+ab+b^2) . I tried it but can't think on what to extract.
http://www.wolframalpha.com/input/?i=4x-x^4%2F8%3D6
I don't know if the book or I'm the one is the problem .
Last day, I borrowed a book titled Linear Algebra, 2nd Edition - Kenneth Hoffmann And Ray Kunze. Then tried to read most of the topics there but didn't get most of it.
I studied Calculus by my own and understand most of it. But when...
What book can you recommend on studying...
mechanics (fluid mechanics, structural mechanics, orbital mechanics), flight dynamics, physics, mathematics, control engineering, materials science, aeroelasticity, avionics, reliability engineering, noise control and flight test)
Source...