Round 11: Tossup 4

M. L. Glasser’s “master theorem” 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. Lambda calculus (-5[1])is based on binding and this technique (15[2])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, (10[1])the variable (10[1])u is commonly used as part of this technique during integration. For 10 points, (0[1])solving an equation by replacing a complicated expression (10[1])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

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