<ul><li>An Archimedean spiral has the polar equation r = bθ^(1/n), with the length of the spiral for θ running from 0 to T being approximately ½bT² when n = 1.</li><li>In the general case where n is not 1, the arc length is given by a hypergeometric function.</li><li>Finding the asymptotic behavior for large T requires evaluating a hypergeometric function at a large argument.</li><li>The length of the spiral with n > 1 and θ running from 0 to T is given by a formula involving hypergeometric functions.</li></ul>

Length of a general Archimedean spiral

<ul><li>LinkedIn quietly emerges as a formidable Twitter alternative, outpacing rivals in web traffic and app usage. Since Elon Musk's Twitter acquisition, LinkedIn's traffic surged by 18% while X declined by 10%.</li><li>The platform's mobile app downloads remained steady, contrasting with X's 24% drop post-rebranding. Microsoft's addition of gaming and short-form videos aims to attract former Twitter users, especially Gen Z.</li><li>Despite higher subscription costs, LinkedIn's app revenue skyrocketed to $119 million in Q1 2024, surpassing X and Snapchat combined. With its steady growth, LinkedIn poses a significant challenge to traditional social media giants.</li></ul>

Length of a general Archimedean spiral

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