Within the Student MultivariateCalculus package, the differentiation operator automatically maps onto the components of vectors. Also, in this package, the norm of a vector defaults to the Euclidean norm.
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Tools≻Load Package: Student Multivariate Calculus
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Loading Student:-MultivariateCalculus
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Define the helix as the position vector R
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Enter R as per Table 1.1.1.
(Be sure to use the exponential "e".)
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Context Panel: Assign to a Name≻R
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Write and evaluate the arc-length integral
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Calculus palette: Definite integral template
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Calculus palette: Differentiation operator
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Context Panel: Evaluate and Display Inline
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Context Panel: Approximate≻5 (digits)
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Arc-length integrals are generally the most challenging integrals that arise in a calculus course. For the given curve, the integral cannot be evaluated exactly by Maple, so a numeric evaluation is the appropriate alternative.
