14 Drill Questions: Operations

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Drill 14. 1  

The graph shows gradient vectors of a function. Starting at the black dot, follow the vectors until you reach the end of the trail. Which of the letters is closest to trail’s end?

tlp-1-oiw
A       B       C       D      

Drill 14. 2  

Here is a contour plot of a function \(f(x, y)\), annotated with several letters. At each of the letters, say what is the direction of the gradient vector. As names for directions, we will use the eight major compass points: N, NE, E, SE, S, SW, W, NW. Choose Zero if the gradient vector is so short that the direction is essentially meaningless.

  1. At point A: dbk-A-dkws

    N       NE       E       SE       S       SW       W       NW       Zero      

  2. At point B: dbk-B-dkws

    N       NE       E       SE       S       SW       W       NW       Zero      

  3. At point C: dbk-C-dkws

    N       NE       E       SE       S       SW       W       NW       Zero      

  4. At point D: dbk-D-dkws

    N       NE       E       SE       S       SW       W       NW       Zero      

  5. At point E: dbk-E-dkws

    N       NE       E       SE       S       SW       W       NW       Zero