Consider the line integral C z2 dx + 2y dy + xz dz. (a) Evaluate this integral, where C
Chapter 6, Problem 1(choose chapter or problem)
Consider the line integral C z2 dx + 2y dy + xz dz. (a) Evaluate this integral, where C is the line segment from (0, 0, 0) to (1, 1, 1). (b) Evaluate this integral, where C is the path from (0, 0, 0) to (1, 1, 1) parametrized by x(t) = (t, t 2, t 3), 0 t 1. (c) Is the vector field F = z2 i + 2y j + x z k conservative? Why or why not?
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