Recalled Rolle's Theorem. Then used it, in conjunction with the Intermediate Value Theore, to prove that a particular cubic equation has precisely one solution.

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Stated the Mean Value Theorem (which is a generalization of Rolle's Theorem).

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Finished off by recalling the  intuitive understanding of logarithms and exponents that is taught as part of the Leaving Certificate syllabus. This level of understanding will suffice for your science practical labs. But there are issues, such as what do we mean by raising a number to an irrational power, that I'll address in the next lecture.