Dividing the path into ten equal segments

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Reference no: EM131317679

1. For the force field F = x²ay, find the approximate value of the line integral of F from the origin to the point (1, 3, 0) along a straight line path by dividing the path into ten equal segments.

2. For the force field F = x²ay, obtain a series expression for the line integral of F from the origin to the point (1, 3, 0) along a straight line path by dividing the path into equal segments. Express the sum of the series in closed form and compute its value for values of equal to 5, 10, 100, and ∞.

Reference no: EM131317679

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