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Activity 13.7.3

Avg difficulty 2.5

  1. Calculate the divergence of the vector fields given below.

    • F⃗(x,y)=⟨−x,−y⟩\vF(x,y)=\langle -x,-y\rangle
    • G⃗(x,y)=⟨y,x⟩\vG(x,y)=\langle y,x \rangle
    • H⃗(x,y)=⟨xy,1−x⟩\vH(x,y)=\langle xy,1-x\rangle

  2. Explain how your answers to the questions in this activity can be explained by using your results from part of this activity.

Long, Keller & Schlicker, Active Calculus Multivariable, §13.7 The Divergence of a Vector Field, Activity 13.7.3

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.