Question: MATH 2531: SECTION 16.2 WRITTEN ASSIGNMENT Consider the vector field F = 2ri + 3yj and the closed curve C going coun- terclockwise around the


MATH 2531: SECTION 16.2 WRITTEN ASSIGNMENT Consider the vector field F = 2ri + 3yj and the closed curve C going coun- terclockwise around the triangle with vertices (0, 0), (0, 1), and (1, 1). 1. Sketch a graph of C described above. Indicate the direction of the curve C on the triangle. 2. Find parameterizations of the three line segments forming the edges of the triangle. Note: This works the same way that it did in 3D with t, except with two components each instead of three. 3. Express the flux of F over C as a line integral and use the parameterization from the part above to compute that line integral. Note: This will require adding three integrals up with respect to t. Part of the lesson here is to suggest that maybe we want an alternative method for computing line integrals
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