1. Find all the potential functions, if there are any, of the vector field F(x, y, z) = (2x sin(y − 42) + 3y²e³y², x² cos(y − 42) + 6xye³y² + 5y¹, −4x² cos(y - 4z)) -
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- 5. Find the potential function o corresponding to the vector field F(x, y, z) = (-2xy² − 3x²z)i + (2³ – 2x²y)j + (3yz²x³)k.F(x, y) = x²yi + 3y³x²j Find the integral curves for the vector field а. —6у + 1 = C 6xy2 ob. -6ху — 1 C 6xy2 c. -6ху + 1 = C 6x²y2 O d. -ху + 6 C x?y2Find the curl of the vector fieldF (6y cos(x), 7x sin(y)) curl F =