Use Lagrange multipliers to find the maximum and minimum values of:
f(x,y)= x+ 3y+2
subject to the constraint:
x^2 +y^2=160
Max=
Min=
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Use Lagrange multipliers to find the maximum and minimum values of f (x,y)= 7 x+ 63 y
subject to the constraint x ^2+ y ^ 2 = 25, if such values exist.
Round your answers to three decimal places. If there is no global maximum or global minimum, enter âNAâ in the appropriate answer area.
Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+2y, subject to the constraint x^2+y^2 â¤3.
Use Lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.) f(x, y) = x2 + 3y; 4x + y = 7