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Math 213-001 201130 Assignment # 6 -Sample answers
 

Summary: Math 213-001 201130
Assignment # 6 - Sample answers
1. Use Lagrange multipliers to find the maximum and minimum values of
the function subject to the given constraint:
(a)
f(x, y) = 4x + 6y
x2
+ y2
= 13
Answer. We construct our function F:
F(x, y, ) = 4x + 6y - (x2
+ y2
- 13).
Then we equate the partial derivatives of F to zero:
0 = Fx = 4 - 2x;
0 = Fy = 6 - 2y;
0 = x2
+ y2
- 13.
From the first equation we can deduce that neither x nor can

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics