Show that the arc length of y = ln((x)) for a x b is nb
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Show that the arc length of y = ln(ƒ(x)) for a ≤ x ≤ b is
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nb a f(x)² + f'(x)² -dx f(x)
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Evaluating manufacturing processes by designing and conducting research programs; applying knowledge of product design, fabrication, assembly, tooling, and materials; conferring with equipment vendors; soliciting observations from operators. Developing manufacturing processes by studying product requirements; researching, designing, modifying, and testing manufacturing methods and equipment; conferring with equipment vendors. Keeping equipment operational by coordinating maintenance and repair services; following manufacturer's instructions and established procedures; requesting special service.
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