(a) Given the vector field F = (u, r? + 2ry) = ui + (r +...
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(a) Given the vector field F = (u, r? + 2ry) = ui + (r² + 2ry)j Find u for F to be conservative and find the potential, if it exists (b) Given u = (e -*y, ry² + y°) = (e² - r*y)i + (ry² + y°\j Evaluate I = u - dr where C is the circle with radius r =1 and center at the origin. Je (a) Given the vector field F = (u, r? + 2ry) = ui + (r² + 2ry)j Find u for F to be conservative and find the potential, if it exists (b) Given u = (e -*y, ry² + y°) = (e² - r*y)i + (ry² + y°\j Evaluate I = u - dr where C is the circle with radius r =1 and center at the origin. Je
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