Let F(x, y) = C:x=cost. y sin t j. If C, and C are the semi-circular...

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Let F(x, y) = C:x=cost. y sin t j. If C, and C₂ are the semi-circular paths from (1.0) to (-1,0) given by (0 ≤t≤n) C₂: x= cost, y=-sint (0≤t≤n) Consider the following statements : (¹) F·dr = F·dr (II) The result contradicts the fact that F is conservative Then, Only (I) is true Only (II) is true Both (I) and (II) are true Neither (I) nor (II) is true Let F(x, y) = C:x=cost. y sin t j. If C, and C₂ are the semi-circular paths from (1.0) to (-1,0) given by (0 ≤t≤n) C₂: x= cost, y=-sint (0≤t≤n) Consider the following statements : (¹) F·dr = F·dr (II) The result contradicts the fact that F is conservative Then, Only (I) is true Only (II) is true Both (I) and (II) are true Neither (I) nor (II) is true