1. Use (Apply) a theorem to evaluate ?_C F? ? dr?, where F? = <2z, 8x + y, 3x + y> and C is the triangular curve of the figure below. C = C_1 ? C_2 ? C_3
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First, we need to find the parametric equations for the triangular curve C. We can do this by breaking the curve into three line segments and finding the equations for each segment. Let's call the vertices of the triangle A, B, and C. Segment AB: x = t y = 0 z Show more…
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