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4. Show that F(x, y) = (2x3 + xy?, x2y - 2y3) is conservative in R2 and determine its potential function p(x, y). 5. For

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4. Show that F(x, y) = (2x3 + xy?, x2y - 2y3) is conservative in R2 and determine its potential function p(x, y). 5. For F(x, y) = (2x3 + xyl, x2y - 2y3) from problem 4., compute / F . T ds along the line segment from P(1, 1) to Q(2, 2) using the fundamental theorem. (For extra credit, compute the integral in another way and compare your answers. Both should give 15/2.)

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