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mymathcourses
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Suppose C is any curve from( 0,0,0) to (1,1,1) and F(x,y,z)=(5z+5y)i+(2z+5x)j+(2y+5x)k . Compute the line integral ∫Fdr .
 one year ago
 one year ago
mymathcourses Group Title
Suppose C is any curve from( 0,0,0) to (1,1,1) and F(x,y,z)=(5z+5y)i+(2z+5x)j+(2y+5x)k . Compute the line integral ∫Fdr .
 one year ago
 one year ago

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him1618 Group TitleBest ResponseYou've already chosen the best response.0
dr = dxi + dyj + dzk
 one year ago

mymathcourses Group TitleBest ResponseYou've already chosen the best response.0
could explain more clearly? @him1618
 one year ago

him1618 Group TitleBest ResponseYou've already chosen the best response.0
you know dr, and you know F..can u tell me the expression for F.dr?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
it might depend on your path ... what path do you choose to take?
 one year ago

henpen Group TitleBest ResponseYou've already chosen the best response.0
It doesn't depend on the path as the curl=0
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
then you can choose any path. easiest one ... choose a straight line parametric form of line is r(t) = (0,0,0) + t(1,1,1) ... change all x,y,z in F into this parametric form. i.e. = t,t,t ... integrate it wrt dt ... from 0 to 1
 one year ago

mymathcourses Group TitleBest ResponseYou've already chosen the best response.0
@experimentX but it is said for any curve, thats why i dont know how to solve this problem, not a straight line or sth else, just for any?
 one year ago

experimentX Group TitleBest ResponseYou've already chosen the best response.1
as henpen said earlier, take a curl, if the curl is zero, then the line integral does not depend on path. choose any path.
 one year ago
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