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(1 point) Are the following statements true or false? ? v 1. If F is conservative and C is any closed curve' then I0 F - r11- = 0. ? v 2. If IS F - dr 79 I] for some closed path 0, then F is not conservative. ? v 3. If F is conservative, then there is a potential function f such that F 2 V f. ? v 4. If F = VI, then F is conservative. ? v 5. For any vector eld F, there is always a function f such that}C F - dr = Q) ?) whenever P and Q are the endpoints of the curve C. ? v 6. If the vector eids F and G have f0 F - (it = L, G - dr fora particular path C" then F = G. ? v 7. The line integral of any vector eld F around any closed curve C is zero. ? v B. If f0 F - 411' = l] for one particular closed path, then F is conservative