Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
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1. Use the Intermediate Value Theorem to prove that the equation 3x5 – 4x? = 3 is solvable on the interval [0, 2] 2. Use the Intermediate Value Theorem to prove that the equation e* = 4 - x³is solvable on the interval (-2, -1) 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the interval [-2, 2] Problem2 1. Where are the following functions continuous? x F(x) = ex +4- x3 G(x) = 3x5 - 4x? H(x) = x-5x3 K(x) = sin(x) – xcos(x2)
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Transcribed Image Text:1. Use the Intermediate Value Theorem to prove that the equation 3x5 – 4x? = 3 is solvable on the interval [0, 2] 2. Use the Intermediate Value Theorem to prove that the equation e* = 4 - x³is solvable on the interval (-2, -1) 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the interval [-2, 2] Problem2 1. Where are the following functions continuous? x F(x) = ex +4- x3 G(x) = 3x5 - 4x? H(x) = x-5x3 K(x) = sin(x) – xcos(x2)
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