In Cartesian coordinates, a vector field takes the form F = 2rz i+2yz j+ (z + y?)k (a) State whether F is conservative, and give a one-sentence justification for your statement. (b) Calculate the line integral of F along a straight-line path starting at the origin and ending at the point (a, b, c). This path has the parametric representation I = at, y = bt, z = ct (0

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