# Question: consider a function wx y that is continuous and has...

###### Question details

Consider a function w(x; y) that is continuous and has
continuous first and second partial derivatives

in a domain in the x–y–plane containing a region R, with boundary
C, then it follows that,

(a) If w = x^{2} +y^{2}, C : x^{2}
+y^{2} = 1, evaluate

counterclockwise over the boundary curve C of the region R.

(b) Confirm your answer by solving in polar coordinates.