4. (28 points) Given the vector field F(x, y) = (ye^xcos e^x, sin e^x), the clockwise oriented part of the

Question

4. (28 points) Given the vector field F(x, y) = (ye^xcos e^x, sin e^x), the clockwise oriented part of the
                                      x=t
parabola C₁ :              y = -t^2 + 5t-6, the line segment C₂ from (3,0) to (2,0):
                                      t ∈ [2,3]
a) Sketch C₁ and C₂

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