If F = (5xy --- 6x2) i + (2y - 4x) j , evaluate J F dr along the curve C in the xy plane, y = x 3 from the C point (1,1) to (2,8).

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Vikas TU · Answer

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Masengeli Joshua · Answer

r=xi+yj dr=dxi+dyj F.dr=(5xy-6x²)dx+(2y-4x)dy Since y=x³ dy=3x²dx Integrate f.dr=(5x.x³-6x²)dx+(2.x³-4x).3x²dx |(5x⁴-6x²+6x^5-12x³)|from x=1 to x=0 =35

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If F = (5xy --- 6x2) i + (2y - 4x) j , evaluate J F dr along the curve C in the xy plane, y = x 3 from the C point (1,1) to (2,8).

If F = (5xy --- 6x2) i + (2y - 4x) j , evaluate J F dr along the curve C in the xy plane, y = x 3 from the C point (1,1) to (2,8).

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If F = (5xy --- 6x2) i + (2y - 4x) j , evaluate J F dr along the curve C in the xy plane, y = x 3 from the C point (1,1) to (2,8).

If F = (5xy --- 6x2) i + (2y - 4x) j , evaluate J F dr along the curve C in the xy plane, y = x 3 from the C point (1,1) to (2,8).

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