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Author Question: Use Lagrange multipliers to find the point P(x1, y1, z1) on the sphere (x - 3)2 + (y +2)2 + (z - 5)2 ... (Read 81 times)

jlmhmf

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Question 1

Let  pi  > 0, i = 1, 2, 3,..., n be real numbers such that = 4.
Find the maximum value of f(x1, x2, x3,..., xn) = x11/p1x21/p2x31/p3... xn1/pn  subject to the constraint = 12,  xi ≥  0, i = 1, 2, 3,..., n.

Question 2

Use Lagrange multipliers to find the point  P(x1, y1, z1) on the sphere (x - 3)2 + (y +2)2 + (z - 5)2 = 9  and the point Q (x2, y2, z2 ) on the plane  x + 2y - 2z = 7 where the distance between P and Q is minimum and determine this minimum distance.
◦ P (2, -4, 7), Q (5, 2, 1); minimum distance 9 units
◦ P (2, -4, 7), Q (1, -6, 9); minimum distance 3 units
◦ P (4, 0, 3), Q (5, 2, 1); minimum distance 3 units
◦ P (4, 0, 3), Q (3, -2, 5); minimum distance 3 units
◦ P (2, -4, 7), Q (-1, -10, 13); minimum distance 9 units


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Marked as best answer by jlmhmf on May 27, 2021

Jbrasil

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Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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jlmhmf

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Reply 2 on: May 27, 2021
Excellent


kalskdjl1212

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Reply 3 on: Yesterday
Gracias!

 

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