$\text { Given } f ( x , y ) = x \cos y \text {, use the total differential to approximate } \Delta z \text { at } ( 2,4 )$

Multiple Choice

$\text { Given } f ( x , y ) = x \cos y \text {, use the total differential to approximate } \Delta z \text { at } ( 2,4 )$ towards $( 2.4,1.05 )$ . Round your answer to four decimal places.

A) -35.7266
B) 30.5500
C) 17.2734
D) 15.5468
E) -4.7266