*"Imagine a fuel tank in the shape of a horizontal cylinder, with length \(l\) and circular cross section with diameter \(d \ldots\)"*

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*Most calculus students take it for granted that the shell and disk methods for computing the volume of a solid of revolution must always give the same result.*

*In this capsule proofs of the equivalence of the two definitions of the Fibonacci numbers are discussed. This helps the undergraduate view mathematics as a unified whole with a variety of...*

*A study of the sensitivity of the volume of cans to the radius of the base*

*"This problem also fits quite nicely in the area of convex geometry, from which we draw the following proof..."*

*The following is a short, simple, but not well-known proof of the well-known trigonometric identify \(\sin(a+b) = \sin a \cos b + \cos a \sin b\).*

*The range of validity of the inequality for various values of \(n\)*

*In his work* On the Sphere and the Cylinder, *Archimedes showed that the volume of the sphere is exactly two thirds of the volume of the circumscribed cylinder. This article explores...*

*The importance of round-off errors, ill-conditioned systems, and interval analysis in the context of baseball statistics*

*Calculation of the minimum distance from a point to a curve*