Question

The plane z = x + 4 and the cylinder 2 + 2 = 4 intersect in a curve C. Suppose C is oriented counterclockwise when viewed from above. Let ⃗ (x, y, z) = 〈 3 + 2, + , + 2 〉. Evaluate the line integral ∫ ⃗ . .d⃗.

Answer 1

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