HOUDEN A vector field F has potential function given by U(r) = x² + y² - 3z. A path C is defined by the parametric equations x(t)=t, y(t) = 1-t, Enter the value of the line integral Answer: z(t) = 0, 0≤t≤ 1, SOF Fds in the box below (rounded to two decimal places). C

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