Lagrange Multipliers
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Use the Lagrange mulipliers to find the points on the parabola y=x^2+2x which are the closest to the point(-1,0).
1 个评论
Walter Roberson
2012-4-15
http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer
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bym
2012-4-16
here is a nudge to solving your problem
syms x y L
d = ??? % for you to fill out; distance from (-1,0)
g = d+L*(x^2+2*x-y) % constraint for given parabola
% additional operations here
show some effort, and some additional help may be forthcoming
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Richard Brown
2012-4-15
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This is not a Matlab question, it's a calculus homework problem. Define a function f(x,y) that you want to minimise, a constraint c(x,y) = 0, and then solve c(x,y) = 0, together with
grad f = lambda grad c
for x, y, and lambda.
3 个评论
Dhurgham Kadhim
2012-4-16
Richard Brown
2012-4-16
It's pretty straightforward to solve by hand - I recommend you do it that way, you'll learn more if you do.
Divy
2023-1-21
nice ra
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