Please provide the reasoning behind your solution (1 pt) Problem 11 Problem 12 P

Question

Please provide the reasoning behind your solution

(1 pt) Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 The images below are level sets for different functions. For each function below, select the image on the right that represents the gradient vector field for that function. For the level sets red is the lowest and purple the highest heights. Click on a gradient vector field to get a mor deta ed version of the image. -3 3 -3 1 3 2. Display Options View equations as: O images O MathJax Show saved answers? -8 -3 2-1 03 -3 2 03 3.

Explanation / Answer

Conventional rule : The arrows of the gradient should go from lower values to higher values, i.e., form red to purple in this case.

(1) F. The arrows should go from corners to the mid of edges and center, so we narrow down to options E and F. Now, since there is a high but neutral point at center of 1, the answer would be F as in E the gradient is strong whereas in F it's more neutral.

(2) D. The arrows should go from mid points of edges to the corners and the center, so the answer is D.

(3) A. The arrows should go from mid of edges and center to the corners, so the answer should be A.

(4) E. The arrows should go from corners to the mid of edges, a little similar to part (1), but the gradient should be a little strong, so answer is E.

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