Because I wrote the Maple code to find the solution whereas with WolframAlpha I can just input f(x) = g(x) and it'll generate it for me. I trust Maple to execute my code properly, but I don't assume my code to be correct - and I assume Wolfram's is :)
Ahh, that makes sense. Thank you!
In case anyone is interested:
0 = f'(x_0)(x - x_0) + f(x_0) - (g'(x_0)(x - x0) + g(x_0))
So that
x_1 = \frac{f'(x_0)x_0 - f(x_0) - g'(x_0)x_0 + g(x_0)}{f'(x_0) - g'(x_0)}
I then plugged that in Maple; Wolframalpha confirms it gives the correct intersections.
Well, eh, the same way. But I figured because you can't simply do f(x) = g(x) you'd have to make an educated guess where they would intersect from a picture and then do a linear approximation in a point nearby, and solve the much easier equation.
But yeah, I have no idea how you would...
At least I think it's via linearization.
Let
f(x) = \tan (x^2) - 1
and
g(x) = \frac{\ln((x+1)^3)}{3}
Find the smallest positive and negative intersection with a relative error of less than 0.001.
I don't know. You can linearize one or both, yeah, but you don't have any analytical value to...
Homework Statement
An infinitely long wire contains a current I. A metal rod with length L moves with speed v. Determine the emf in the rod.
http://img227.imageshack.us/img227/5149/52966616.jpg
With \epsilon = -\frac{d\Phi_b}{dt}, I would have said emf = 0 at first. The current I generates...
Homework Statement
A solid sphere of radius R carries a volume charge density \rho = \rho_0e^{r/R}, where \rho_0 is a constant and r is the distance from the center.
Find an expression for the electric field strength at the sphere's surface.
Homework Equations
\int\vec{E}.d\vec{A} =...
I don't think it matters that much. All of the tools I use in an AE undergrad (CATIA, Matlab, Maple) seem to be cross-platform. CATIA is unstable on a Windows Vista kernel though, and I have to use XP instead, but perhaps you will use something differently.
Thanks for your reply! I have probably been unclear though, what I meant was that I would definitely pursue a physics BSc (but probably try to do it in 2 years instead of 3), but my dilemma is whether I should do the effort do finish an engineering BSc. I mean, it would take quite some effort...
I am currently in the 2nd year of an Aerospace Engineering BSc, but have become so disappointed with the study that I am considering quitting and doing what I had strongly considered two years ago, physics. It is mainly the engineering mentality that bothered me, i.e. how do we apply it, how it...
I figured that since the sun emits a large portion in the IR region that it was the IR that caused the heating, since something that emits just light like say, a flashlight, doesn't have the same effect like standing outside. Not even a really big flashlight. Guess it's just a difference in...
I am confused regarding the heat properties of electromagnetic radiation. Wiki states "Any electromagnetic radiation can heat a material when it is absorbed.". Does this imply radiation with wavelengths in the visible light region can also heat a material, that is, increase its temperature? From...
While on this subject, I wonder, if walking on a planet causes the Earth to be pushed back by a certain amount, does the rotational speed of the Earth not change on say, yearbasis, depending on what directions have been walked? Or does all the combined walking cancel each other out? What if...