Calculate the total mass of a metal tube in the helical shape (mathbf{r}(t)=left(cos t, sin t, t^{2}ight))

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Calculate the total mass of a metal tube in the helical shape \(\mathbf{r}(t)=\left(\cos t, \sin t, t^{2}ight)\) (distance in centimeters) for \(0 \leq t \leq 2 \pi\) if the mass density is \(ho(x, y, z)=\sqrt{z} \mathrm{~g} / \mathrm{cm}\).

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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