Find the relative maximum and minimum values.

$f(x,y)=8x^2-4y^2$

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The function has a relative maximum value of $f(xy)=$ at $(xy)=$

$$

$$

$($Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.$)$

B$.$ The function has no relative maximum value.

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The function has a relative minimum value of $f(x,y)=$ at $(x,y)=$

$($Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.$)$

B$.$ The function has no relative minimum value.

Find the relative maximum and minimum values.

$f(x,y)=e^{2x^2+10y^2+9}$

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The function has a relative maximum value of $f(x,y)=$ at $(x,y)=$ :

$($Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.$)$

B$.$ The function has no relative maximum value.

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The function has a relative minimum value of $f(x,y)=$ at $(xy)=,$

$($Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.$)$

B$.$ The function has no relative minimum value.