$$\text { If } f ( x , y ) = \frac { x ^ { \wedge } 3 + y ^ { \wedge } 3 } { x ^ { \wedge } 2 + y ^ { \wedge } 2 } , \text { calculate the value of } f ( 7.44,2.37 ) \text {. }$$
A) 6.97
B) 417.69
C) 9.81
D) None of the above

Question

Quizplus · Accepted Answer

Substitute $ x = 7.44 $ and $ y = 2.37 $ into the function:  $$ f(7.44, 2.37) = \frac{7.44^3 + 2.37^3}{7.44^2 + 2.37^2} $$  Calculate the numerator:  $$ 7.44^3 + 2.37^3 = 412.09 + 13.31 = 425.40 $$  Calculate the denominator:  $$ 7.44^2 + 2.37^2 = 55.37 + 5.61 = 60.98 $$  Thus,  $$ f(7.44, 2.37) = \frac{425.40}{60.98} \approx 6.97 $$

A) 697 B) 417

A) 697
B) 417