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  3. consider the vector field v(x) = (y2 + x2, 22 + z2

Consider the vector field v(x) = (y2 + x2, 22 + z2, x2 + y2)....

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Consider the vector field v(x) = (y2 + x2, 22 + z2, x2 + y2). (a) Show that (V x y) x = 0. (b) Calculate vodr, where C is the curve defined by x2 + x2 = 4, y = 0, 2 > 0 from (2,0,0) to (-2,0,0). (c) Let I be any curve from (2,0,0) to (-2,0,0) on the sphere x2 + y2 + 22 = 4. Use the results from (a),(b) and Stokes' Theorem to calculate vodr Consider the vector field v(x) = (y2 + x2, 22 + z2, x2 + y2). (a) Show that (V x y) x = 0. (b) Calculate vodr, where C is the curve defined by x2 + x2 = 4, y = 0, 2 > 0 from (2,0,0) to (-2,0,0). (c) Let I be any curve from (2,0,0) to (-2,0,0) on the sphere x2 + y2 + 22 = 4. Use the results from (a),(b) and Stokes' Theorem to calculate vodr

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