The Goal Of This Quiz Is To See If You Are Comfortable With The Qualitative Aspects Of The Curl And Divergence Operators 1 (19.7 KiB) Viewed 37 times
The Goal Of This Quiz Is To See If You Are Comfortable With The Qualitative Aspects Of The Curl And Divergence Operators 2 (45.38 KiB) Viewed 37 times
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.
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