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Calculus 2 / BC
4 days, 8 hours ago
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Use the method of Lagrange multipliers to find the point closest to the origin that lies on both the planes:
?5x+y+z=1 and x+y+z=7
Hello. Question is that used the method of language multi players to find the point of closest to a region that slides on the board. The plane that five X plus Y plus jet. That is equal to five and X plus Y plus jet. That is equal to one. Okay we are given two plans. One is the plans are one is 5 x plus Y plus Jared. That is equal to five and other is X plus five plus jad. That is equal to one. and point is 1000. So here and one that is 511 and and two is 1 one and 1. What? So anyone cross and two that is equal to 0 -44. That is equal to 0 -1 anyone. So for this X equal to one equal to minus of tea and get equal to the for that X, Y. And dead. That is equal to one minus T plus T. Okay. So distant from origin Be that it is understood one plus the square. Let's T square this weekend. F of T. One plus two T squared. So F. D. S. Of T. That is equal to 40. For that equal to zero. So the point closes Touraine region That was really 100. This is our answer
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