$\text { Given } f ( x , y ) = 16 - x ^ { 2 } - y ^ { 2 } \text {, use the total differential to approximate } \Delta z \text { at } ( 2,3 )$

Multiple Choice

$\text { Given } f ( x , y ) = 16 - x ^ { 2 } - y ^ { 2 } \text {, use the total differential to approximate } \Delta z \text { at } ( 2,3 )$ towards $( 2.2,1.04 ) \text {. Round your answer to two decimal places. }$

A) 10.96
B) -6.04
C) 49.96
D) 31.92
E) 33.92