Find the pairs (x, y) that give the extreme values of 2x + 10y, subject to the constraint  using the method of Lagrange multipliers.Enter your answer as exactly just (a, b), (c, d) where a > c (no words).

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


(10, 40), (-10, -40)

Mathematics

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Find the equation of a circle satisfying the given conditions.Center: (7, 6); radius: 4

A. (x + 7)2 + (y + 6)2 = 16 B. (x - 7)2 + (y - 6)2 = 16 C. (x + 6)2 + (y + 7)2 = 4 D. (x - 6)2 + (y - 7)2 = 4

Mathematics

Solve the system of equations.

A. (0, - ), (0, ), (5, - ), (5, )
B. (- , 0), (, 0)
C. (- , 5), (, 5)
D. (- , 0), (, 0), (- , 5), (, 5)

Mathematics

Solve the equation.x +  = 

A.  
B. {1}
C.
D.

Mathematics

Find the product.(10x - 9y)2

A. 100x2 + 81y2 B. 10x2 - 180xy + 81y2 C. 100x2 - 180xy + 81y2 D. 10x2 + 81y2

Mathematics