The goal of this quiz is to see if you are comfortable with the qualitative aspects of the curl and divergence operators
Posted: Thu Jul 14, 2022 4:41 pm
The goal of this quiz is to see if you are comfortable with the qualitative aspects of the curl and divergence operators. Consider the following functions on R2 : (i) f1(x,y)=x. (ii) f2(x,y)=−x, (iii) f3(x,y)=y. (iv) f4(x,y)=−y. (v) f5(x,y)=x+y. (vii) f6(x,y)=x−y, (vii) f7(x,y)=−x+y. (viii) f8(x,y)=−x−y (a) Which of those functions best represent the divergence and the (scalar) curl of the vector field F:R2→R2 depicted below? Justify your answer.