The unit ball in Rn is defined as the set of points (x1,…,xn) such that x12 + … + xn2 <= 1. What...
Continue reading...multivariable calculus
Impossible Integral?
The following integral may be problematic for a freshman calculus student, even if armed with a list of antiderivatives: INTEGRAL0...
Continue reading...Polyhedral Face Vectors
A polyhedron is any closed region of 3-space cut out by a finite set of planes. Take any polyhedron and do the...
Continue reading...Spherical Bands
Take any sphere and slice it up by parallel knives 1 inch apart. The areas of the spherical bands between the cuts...
Continue reading...Right Double Cone
Take a solid cylinder of radius R and height 2R. Remove the right “double cone” which passes through the center...
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