12. Consider the equation ( mathrm{e}^{x}=-3 x ). (a) Use the Intermediate Value Theorem to prove that the equation has a solution.
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The IVT states that if \(f\) is a continuous function on a closed interval \([a, b]\), and \(N\) is any number between \(f(a)\) and \(f(b)\), then there exists at least one \(c\) in the interval \([a, b]\) such that \(f(c) = N\). Show more…
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