This is not a specific homework question, but more of a general query.
If provided with a simple vector field indicating forces (for example, an electrical field), can you use integration to determine the path of a particle placed in that field, if also provided with some initial conditions...
first off - OOPS - no we are using |sin(x)| - my apologies for the typo.
i was considering a linear approximation method. separating them into the two parts seems the easiest method.
thanks all.
this is one of those situations where i threw out a question to my students and never checked the...
consider that one way of thinking about derivatives with the chain rule is that you have a function INSIDE another function. so start with the idea that a chain rule assumes you have a function of the form f(g(x)). what does the derivative look like, according to chain rule?
Homework Statement
i am looking for the potential extrema on the function y = |sinx(x)| + (1/x) between [-2pi, 2pi]
Homework Equations
extrema will be likely located at f'(x) = 0 or u/d
The Attempt at a Solution
first it is noted that there is a discontinuity at x=0
then determining f'(x)...
DELTA:
this seems to take care of it - provided you know how to expand a sum of powers to a high level - had to look it up to be honest:
so revised sheet:
The restriction is due to the question is apparently brought up before any derivatives are introduced. So apparently this is do-able without using straight up differentiation. Yes, the 1/3 is killing me. and i have no idea how to approach it.
it looks like I'm trying to get a derivative. I am trying to do this without working using any derivatives and for some reason the power of 5/3 is completely messing with my head and i do not know how to proceed. i am still getting a 0/0 situation.
so i am starting with the equation x3 = √(3) - i
first : change to a vector
magnitude = √[ (√(3))2 + 12] = 2
and angle = tan-1( 1/√(3) ) = 30 degrees
(in fourth quadrant)
so i have a vector of 2 ∠ - 30
so i plot the vector on the graph and consider that :
1. the fundamental theorum of...
thank you. there are aspects of Maple that really bother me. I had the same type of trouble all throughout my Physical Chemistry class. this pause before evaluating with assumptions is something i have not seen before and it really would have been useful well before this. Better now than never.
Homework Statement
Does anybody out there have a good knowledge of maple? i am trying to plot out some equations and having a bit of a snag and not sure how to define my variables to make this work. The integral has a constant that ranges from zero to under 1 and this seems to be giving me a...
thanks so much. it seems my problem is less to do with doing the actual math but rather deciphering what is being asked of me. the language of the science can sometimes be difficult for me.
Homework Statement
A defining property of a vector is that its components must transform in a particular fashio under a rotation. for a counterclockwise rotation around the z-axis, by and angle ∅ the components Ax, Ay, and Az of a vector A transform in the following fashion:
Ax --> Ax' =...