Packet 11: Tossup 4
M. L. Glasser’s “master theorem” showed that this technique can simplify problems construed as Cauchy principal values. The first step of Cardano’s method eliminates a square term by performing this technique. Lambda calculus is based on binding and this technique for variables. The expression, “a squared minus x squared” in (*) integrals typically suggests the use of this technique with sine of x. In AP Calculus, the variable u is commonly used as part of this technique during integration. For 10 points, solving an equation by replacing a complicated expression with an equivalent term is an example of what technique? ■END■
ANSWER: substitution [accept u sub or trig sub or tangent half-angle substitution]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 11
= Average correct buzzpoint
Buzzes
Summary
| Tournament | Edition | Match | Heard | Conv. % | Power % | Neg % | Avg. Buzz |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✓ | 6 | 83% | 33% | 33% | 59.20 |
| VAULT II at UCSB | 2026-03-13 | ✓ | 4 | 75% | 0% | 25% | 66.00 |
| VAULT II at Harvard | 2026-04-30 | ✓ | 4 | 100% | 0% | 0% | 67.75 |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 8 | 100% | 25% | 38% | 65.38 |