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 …

Jan 12, 2026 · The Hopf fibration of the 3-sphere consists of fibers that are circles, which do not intersect and collectively form the 3-sphere. The 3-sphere can be represented as the locus of …

Aug 27, 2011 · The discussion clarifies that 'k' in the equation 1/2mv² = kQq/r represents the Coulomb constant, valued at approximately 8.988 x 10^9 Nm²/C². It is defined as k = 1/4πε₀, where ε₀ is the …

Apr 2, 2015 · Hello, The discussion revolves around the COMSOL Student Copy, which provides a free academic license for students. Participants emphasize the importance of adhering to forum rules, …

Nov 30, 2007 · This discussion centers on whether asymptotes should be classified as critical points in the context of the function y = x sqrt (4-x^2). The critical points identified are √2 and -√2, while the …

Jan 16, 2017 · Introduction: The purpose of this Insight is to explain permanent magnets in a way that is in agreement with advanced textbooks on the subject, and that emphasizes the results in these …

Oct 9, 2015 · The wave number k = 2π/λ . But is defined as radians per unit distance. What is the correlation here between the wavelength and radians ?

May 3, 2012 · The formula E = V/d describes the relationship between the electric field (E), potential difference (V), and the separation distance (d) in parallel plate capacitors. The derivation involves …

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 …

6 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. …