Question: 4. consider F(x, y) = (y2 - 2xy) i+ (2xy - x2) j. (a) Show that F is a conservative vector field in R2. (b)

4. consider F(x, y) = (y2 - 2xy) i+ (2xy -

4. consider F(x, y) = (y2 - 2xy) i+ (2xy - x2) j. (a) Show that F is a conservative vector field in R2. (b) Find a function f such that Vf = F. (c) Evaluate I = ( F . dr, where C is any path from (0, 0) to (1, 2)

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