Minimize the function f(x) = x + y, subject to the constraint xy = 100, x > 0, y > 0. Use the method of Lagrange multipliers.Enter your answer exactly as just (a, b), c where (a, b) gives the minimum and c is the Lagrange multiplier as a reduced fraction of form   (no words or labels).

Fill in the blank(s) with the appropriate word(s).


(10, 10), 1/10

Mathematics

You might also like to view...

Perform the operation and write the result in the standard form.(6 - )(2 + )

A. 67 + 56 i B. 67 - 56 i C. 3037 + 776 i D. -67 + 56 i

Mathematics

Use the square root property to solve the equation.(2x + 7)2 = 13

A.
B. -7 ± 
C. ± 
D.

Mathematics

Complete.73.0 dm =  m

A. 0.73 B. 730 C. 7300 D. 7.3

Mathematics

Use to find the exact total area of the right circular cone for which r = 3 cm and l = 5 cm.

What will be an ideal response?

Mathematics