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Math Calculus Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

(a) We need to apply the comparison theorem to the inequality sin x ≤ x valid for x ≥ 0 to prove that 1 − x 2 2 ≤ cos x ≤ 1 . (b) We need to prove that x − x 3 6 ≤ sin x ≤ x ( for x ≥ 0 ) . (c) We need to verify the inequalities for x = 0.3 .

(a) We need to apply the comparison theorem to the inequality sin x ≤ x valid for x ≥ 0 to prove that 1 − x 2 2 ≤ cos x ≤ 1 . (b) We need to prove that x − x 3 6 ≤ sin x ≤ x ( for x ≥ 0 ) . (c) We need to verify the inequalities for x = 0.3 .

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

4th Edition

ISBN: 9781319312886

Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert

Publisher: W. H. Freeman

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Question

Chapter 5.4, Problem 52E

To determine

(a) We need to apply the comparison theorem to the inequality $\sin x \leq x$ valid for $x \geq 0$ to prove that $1 - \frac{x^{2}}{2} \leq \cos x \leq 1$ .

(b) We need to prove that $x - \frac{x^{3}}{6} \leq \sin x \leq x (for x \geq 0)$ .

(c) We need to verify the inequalities for $x = 0.3$ .

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Chapter 5.4, Problem 51E

Chapter 5.4, Problem 53E

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Chapter 5 Solutions

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

Ch. 5.1 - Prob. 1PQ Ch. 5.1 - Prob. 2PQ Ch. 5.1 - Prob. 3PQ Ch. 5.1 - Prob. 4PQ Ch. 5.1 - Prob. 5PQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

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Prob. 8CRE Ch. 5 - Prob. 9CRE Ch. 5 - Prob. 10CRE Ch. 5 - Prob. 11CRE Ch. 5 - Prob. 12CRE Ch. 5 - Prob. 13CRE Ch. 5 - Prob. 14CRE Ch. 5 - Prob. 15CRE Ch. 5 - Prob. 16CRE Ch. 5 - Prob. 17CRE Ch. 5 - Prob. 18CRE Ch. 5 - Prob. 19CRE Ch. 5 - Prob. 20CRE Ch. 5 - Prob. 21CRE Ch. 5 - Prob. 22CRE Ch. 5 - Prob. 23CRE Ch. 5 - Prob. 24CRE Ch. 5 - Prob. 25CRE Ch. 5 - Prob. 26CRE Ch. 5 - Prob. 27CRE Ch. 5 - Prob. 28CRE Ch. 5 - Prob. 29CRE Ch. 5 - Prob. 30CRE Ch. 5 - Prob. 31CRE Ch. 5 - Prob. 32CRE Ch. 5 - Prob. 33CRE Ch. 5 - Prob. 34CRE Ch. 5 - Prob. 35CRE Ch. 5 - Prob. 36CRE Ch. 5 - Prob. 37CRE Ch. 5 - Prob. 38CRE Ch. 5 - Prob. 39CRE Ch. 5 - Prob. 40CRE Ch. 5 - Prob. 41CRE Ch. 5 - Prob. 42CRE Ch. 5 - Prob. 43CRE Ch. 5 - Prob. 44CRE Ch. 5 - Prob. 45CRE Ch. 5 - Prob. 46CRE Ch. 5 - Prob. 47CRE Ch. 5 - Prob. 48CRE Ch. 5 - Prob. 49CRE Ch. 5 - Prob. 50CRE Ch. 5 - Prob. 51CRE Ch. 5 - Prob. 52CRE Ch. 5 - Prob. 53CRE Ch. 5 - Prob. 54CRE Ch. 5 - Prob. 55CRE Ch. 5 - Prob. 56CRE Ch. 5 - Prob. 57CRE Ch. 5 - Prob. 58CRE Ch. 5 - 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