Question: 3. Consider the vector field F = (2xyz2 )i + (x2 22 + e= )j + ( 2x2 yz + ye= )k a. Show that

3. Consider the vector field F = (2xyz2 )i + (x2

3. Consider the vector field F = (2xyz2 )i + (x2 22 + e= )j + ( 2x2 yz + ye= )k a. Show that F is conservative by showing that curlF = 0 b. Find its potential, Vf = F c. Use the Fundamental Theorem of Line Integrals to find the work done by F as it moves an object from P(1, 0, 1) to Q(3, 2, 1)

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