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12. Define a path y : [0, 1] - R2 by y(t) = (tet, et - 1). (a) (6 points) Compute (-y) dx + x

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12. Define a path y : [0, 1] - R2 by y(t) = (tet, et - 1). (a) (6 points) Compute (-y) dx + x dy. (b) (8 points) Let D be the region in R2 bounded by y and the segment joining the endpoints of y. Find the area of D. (You may use the fact that the image of y always lies above the segment when 0

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