Determine the maximum value of f(x, y) = 4 - $x ^ { 2 }$ - $y ^ { 2 }$ subject to the constraint $y = 3 x - 4$ .
Enter your answer as exactly just a, b where a is the maximum and b is the Lagrange multiplier as either integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ (no words or labels).

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The Answer of Determine the maximum value of f(x, y) = 4 - $x ^ { 2 }$ - $y ^ { 2 }$ subject to the constraint $y = 3 x - 4$ .
Enter your answer as exactly just a, b where a is the maximum and b is the Lagrange multiplier as either integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ (no words or labels).

Determine the Maximum Value of F(x, Y) = 4 - x2x ^ { 2 }x2

Determine the Maximum Value of F(x, Y) = 4 - $x ^ { 2 }$