Nov 25, 2007 · The discussion centers on finding the derivative of the volume of a cone, represented by the formula V = (1/3)πr²h. Participants clarify that to compute the derivative, one must identify the …

4 days ago · I’m not looking for the final equations themselves, but rather an explanation of the physical and geometric ideas used to construct constraint equations in systems involving strings and pulleys. …

Nov 6, 2025 · To effectively learn mathematics, one must develop problem-solving skills to enhance mathematical intuition. The discussion emphasizes the importance of a structured approach to …

Feb 2, 2024 · TL;DR If I put clay in a bag of water, tie it up, put it in a bucket, the water permeates the clay - but why doesn't it do that in a big of water or just in the bucket alone?

Aug 29, 2025 · In Dirac's Principles of Quantum Mechanics published in 1930 he introduced a "convenient notation" he referred to as a "delta function" which he treated as a continuum analog to …

May 6, 2009 · The carbonate ion (CO3^2-) is a polyatomic anion consisting of one carbon atom and three oxygen atoms, carrying a total charge of -2 due to the presence of two additional electrons …

Feb 8, 2016 · Historically, life is categorized into three broad domains: bacteria, archaea, and eukaryota. Whereas bacteria and archaea are almost all relatively simple, single-celled microorganisms, …

Jul 20, 2009 · The discussion clarifies the distinction between the functions arctan (x) and cot (x). Arctan (x), defined as tan -1 (x), is the inverse function of tan (x), while cot (x) is defined as 1/tan (x). The …

Sep 6, 2017 · The discussion centers on the absence of reaction moments in thrust and smooth journal bearings as outlined in R. C. Hibbeler's textbook on Mechanics of Materials. It is established that …

Apr 16, 2024 · An interesting article about a new solid-state battery that would have a huge list of positives if the details in the article are true - cheaper to make, able to hold more energy per pound, …