(Solved): Please help with both! I will give thumbs up for correct answer I am stuck on these two questions. & ...

Please help with both! I will give thumbs up for correct answer I am stuck on these two questions.

 

 

 

Find the absolute maximum and minimum values of the function, subject to the given constraints. \[ g(x, y)=8 x^{2}+6 y^{2} ;-1 \leq x \leq 1 \text { and }-1 \leq y \leq 7 \] The absolute minimum value of \( g \) is (Simplify your answer.) The absolute maximum value of \( g \) is (Simplify your answer.) Find the absolute maximum and minimum values of the function, subject to the given constraints. \[ k(x, y)=-x^{2}-y^{2}+14 x+14 y ; 0 \leq x \leq 8, y \geq 0, \text { and } x+y \leq 16 \] The minimum value of \( k \) is (Simplify your answer.) The maximum value of \( k \) is (Simplify your answer.)