Use the Intermediate Value Theorem from Section 2.5 to show that (x) = x 3 + 2x
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Use the Intermediate Value Theorem from Section 2.5 to show that ƒ(x) = x3 + 2x - 4 has a root between x = 1 and x = 2. Then find the root to five decimal places.
Intermediate Value Theorem from Section 2.5
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THEOREM 11-The Intermediate Value Theorem for Continuous Functions If f is a continuous function on a closed interval [a, b], and if yo is any value between f(a) and f(b), then yo = f(c) for some c in [a, b]. f(b) Yo f(a) a C y = f(x) X
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ANSWER To apply the Intermediate Value Theorem we need to show that x changes sign on the interval 1...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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