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Monthly Archives: December 2022
Number Theory
Parity and Primes Prime Factorization Smallest positive numbers whose product of digits is 2700 Divisibility Modular Arithmetic Last two digits of and When divides Aops Fraction Problem 2x+3y is multiple of 17 then 5x+9y is too 6x=4 mod 10
Posted in Number Theory
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Inscribing Circumscribing Polygons to estimate Pi (IB Paper 3)
This question asks you to investigate regular n-sided polygons inscribed and circumscribed in a circle, and the perimeter of these as n tends to infinity, to make an approximation for pi.
Posted in Algebra, Calculus
Tagged AP Calculus, Calculus 2, IB Math, Series, Trigonometry
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Evaporating water from a hemispherical bowl
Water evaporates from a hemispherical bowl with radius r cm at the rate , where t is the time in hr. Find the volume of water of depth h, in a hemispherical bowl of radius r.
Sumant's 1 page of Math 