Question: 10. a) Consider the vector field F(x, y, z) = (2xy, 22 - 2z, y223). Find curlF. (1 point) b) Consider the vector field F(x,

10. a) Consider the vector field F(x, y, z) = (2xy, 22 - 2z, y223). Find curlF. (1 point) b) Consider the vector field F(x, y) = (2x y + x, 2x y + y). This vector is con- servative (you do not need to show that). Compute a potential function f of F. (2 points) c) Using the fundamental theorem of line integrals in a vector field, compute the line integral over the vector field F (of part b) along any smooth curve C starting at (0,0) and ending at (1,1). Show all your work. (2 points)

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