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8. [A Better Path] Consider the path drawn below from (-2, 0) to (-3, 0). If we have a vector field F(x, y) = (23
8. [A Better Path] Consider the path drawn below from (-2, 0) to (-3, 0). If we have a vector field F(x, y) = (23 - 3y, x + ey), then calculate the work done by the vector field on an object moving along the path. (Don't try to solve this by doing 5 integrals. Hint: What is the area of the region enclosed by the curve and the x-axis?) (-3, 0) (- 2, 0) 9. [Another Better Path] Repeat the previous question, but where the vector field is F(x, y) = (3x2y - 2x, 23)
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