W04 Stepwise

Due date: Thursday 2/5, 11:59pm

Arc length

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Arc length - reversed $x$ and $y$ roles

Find the arc length of the curve that satisfies the equation $x=\frac{1}{12}{y}^3+y^{-1}$ over $y\in [\mathrm{1,2}]$.

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Solution

Solutions---0080-01

Surface areas of revolutions - thin bands

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Surface area: revolved cubic

The curve $y=x^3$ over $x\in [\mathrm{0,2}]$ is revolved around the $x$-axis.

Find the area of the resulting surface.

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Solution

Solutions---0090-01