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psk981 Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{C}^{} F.T ds \] for a vector field F=x ^{2}iyj
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
from (2,4) to (1.1)
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
dw:1352896610110:dw
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
along the straight line? what is T ?
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
you have to find flow
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
dw:1352897206497:dw
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
how did u get r(t) i know you used the points but why did u pick t for the second set of points
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
the t used is just a variable scalar to stretch the vector to all point along the line from the point used to anchor it to the line
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
so how would i find F. dr/dt where T=dr/dt?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
i dont recall the flow stuff to clearly, but does this look familiar? \[\frac{dr}{dt}=\frac{dr}{dx}\frac{dx}{dt}+\frac{dr}{dy}\frac{dy}{dt}\]
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
looks like chain rule
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
this is a line integral right?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsVectorFields.aspx ive always found this to be a rather good read. so im going over it
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
r(t)= <2t, 43t>
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
F=(2t)^2i(43t)j
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
i believe we also need r'
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
how would i get it i know its a derivative would it be r(t)= i3j
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
r'(t)=i3j
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
then thats its; dot F and r' together to get a scalar equation to integrate right?
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
yes its F. dr/dt
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
i am not sure abt the dr/dt part
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
r= <2t, 43t> r'= <(2t)', (43t)'> r'= <1, 3>
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
F=<(2t)^2 ,4+3t> dot r'=< 1 , 3 >  (2t^2)+129t
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
got me ^2 in the wrong side ... :/
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
the line is from t=0 to t=1 giving us\[\int_{0}^{1}4t^2+4t9t+12~dt\]\[\int_{0}^{1}t^25t+8~dt\]
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
do you have an answer key to check with by chance?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
well, weve followed the simple directions from pauls site; so it should be good ;)
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
these vector fields so confusing
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
indeed they are
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
i have another vector question
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
the Force equation gives us the force at each for each x,y point along the line the lines vector equation gives us the x and y values along the path F(r) is just defining the forces along the path; dotting with r' tho has me a little baffled at an explanation at the moment tho ;)
 one year ago

psk981 Group TitleBest ResponseYou've already chosen the best response.0
how do i draw a vector field
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
for each lattice point on a graph you draw a little arrow indicating the direction and magnitude of the vector associated with the values of x and y (or whatever reference frame your using) at that point
 one year ago
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