Packet 11: Tossup 4

M. L. Glasser’s “master theorem” (-5[1])showed that this technique can simplify problems (-5[1])construed as Cauchy principal values. The first step of Cardano’s method eliminates a square term by performing this technique. (0[1])Lambda calculus (15[1]-5[1])is based on binding and this technique (15[2])for variables. The expression, (15[1])“a squared (-5[1])minus (-5[1])x squared” (-5[1])in (*) integrals typically suggests the use of this technique (10[1])with sine of x. (10[1])In AP Calculus, (10[1])the (10[2])variable (10[2])u (10[2])is (10[1])commonly used (10[2])as part of this technique during integration. (10[1])For 10 points, (0[1])solving an equation by replacing (10[1])a complicated expression (10[1])with an equivalent term is an example of what technique? ■END■ (10[1])

ANSWER: substitution [accept u sub or trig sub or tangent half-angle substitution]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 11
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Buzzes


Summary

TournamentEditionMatchHeardConv. %Power %Neg %Avg. Buzz
VAULT II at Georgia Tech2026-01-24683%33%33%59.20
VAULT II at UCSB2026-03-13475%0%25%66.00
VAULT II at Harvard2026-04-304100%0%0%67.75
VAULT II Stanford Online2026-07-178100%25%38%65.38