4. (16 points) Determine which of the following vector fields is conservative, and construct a potential...

Question

Question

4. (16 points) Determine which of the following vector fields is conservative, and construct a potential function for that fi

(iii) H(x, y, z) = (y2 +22,22 + 1, 2yz)

Answer 1

Answer #1

Given HCHRY, 2) <43 +x2, 22+4,242 > H is conservative if CU41.H 0 How curl.H. ود an oy az y3 +12 z²tx 2yz = $(22-22)-1 (0-0)

Answer 2

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