GCU 114 Lecture : Round 3.docx
Document Summary
Toss-ups: brahmagupta"s identity states that performing this operation on two square numbers results in a closed set under multiplication. This operation is repeatedly performed on terms in the taylor polynomial for the hyperbolic cosine function, and the tip-to-tail method or the parallelogram method is used when performing this operation on two or more vectors. Performing this operation on a sequence of numbers turns it into a series, which is represented with an uppercase sigma. For 10 points, name this mathematical operation that is the inverse of subtraction. The states of natal, cape colony, the orange free state, and transvaal were united by the british to form this modern commonwealth. This country where the soweto massacre took place sentenced one of its future presidents to imprisonment on robben island, and it was led by f. w. de klerk and nelson mandela. For 10 points, name this african nation whose largest city is johannesburg.