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Assume that F= (e^x−y)i+ (2y−x)j, C1 is curve from (0,1) to (2,5) along the graph of y=x^2+ 1, and C2 is the line segment from (0,1) to (2,5).(a) Parameterize C2and compute ∫C2F·dr. Must it be the case that the value you obtained for∫C2F·dr is equaled to that of ∫C1F·dr? Explain.

Assume that F= (e^x−y)i+ (2y−x)j, C1 is curve from (0,1) to (2,5) along the graph of y=x^2+ 1, and C2 is the line segment from (0,1) to (2,5).(a) Parameterize C2and compute ∫C2F·dr. Must it be the case that the value you obtained for∫C2F·dr is equaled to that of ∫C1F·dr? Explain.

b) Use the Fundamental Theorem of Line Integrals to compute ∫C1F·dr or explain why this can not be done.

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