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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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16.2.9 Find the line integral of F = 3√√zi-2xj +4√√yk, from (0,0,0) to (1,1,1) over each of the following paths. a. The straight-line path C₁: r(t) = ti + tj + tk, Ost≤1 b. The curved path C2: r(t) = ti+t²j+t+k, Ost≤ 1 c. The path C3UC4 consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to (1,1,1) a. The line integral of F over the straight-line path C₁ is (Type an integer or a simplified fraction.) Question Help (0, 0, 0) C₁ (1, 1, 1) CA (1, 1, 0)

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