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Homework 9 Calculus 1
1. Rudin Chapter 5, Problem 3.
2. Rudin Chapter 5, Problem 5.
3. Rudin Chapter 5, Problem 6. (Hint: use MVT).
4. Rudin Chapter 5, Problem 9.
5. Rudin Chapter 5, Problem 13, (a) - (d).
6. Prove that
(a) sin x ≤ x ∀x ≥ 0.
(b) x ≤ tan x ∀x ∈ [0,π2].
(c) x ≥ log x ∀x > 0.
7. Salas 3.2: 24, 30, 38, 56.
8. Salas 3.5: 20, 24, 66.
9. Salas 3.6: 28, 40, 50.
10. Salas 4.1: 6, 13, 15, 20.
11. Salas 4.2: 10, 19, 35, 56.