Prove the given theorem and provide (1) examples.Theorem 1.4 (Intermediate Value Theorem) Let f(x) be a continuous in [a, b] and let k be anynumber between f (a) and f(b). Then there exists a number { in (a, b) such that f({) = k.y=f(x)¡y=kf(b)f(a)Figure 1.1 Intermediate value theorem.

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Answered: Prove the given theorem and provide (1)…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

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Prove the given theorem and provide (1) examples. Theorem 1.4 (Intermediate Value Theorem) Let f(x) be a continuous in [a, b] and let k be any number between f (a) and f(b). Then there exists a number { in (a, b) such that f() = k. y=f(x) y3Dk f(b); f(a) b Figure 1.1 Intermediate value theorem.