ps8 - 5 Problem 5 from page 138 Part 3 6 Problem 6 from...

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18.100B and 18.100C Fall 2011 Problem Set 8 Due November 17th at 4 pm in room 2-108. Hand in parts 1, 2 and 3 separately. Put your name and whether you are registered for 18.100B or 18.100C on each part. Part 1 1. Problem 15 from page 115. 2. Problem 16 from page 116. 3. Problem 1 from page 138 Part 2 4. Problem 2 from page 138
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Unformatted text preview: 5. Problem 5 from page 138 Part 3 6. Problem 6 from page 138 7. Let f : [0 , ∞ ) → [0 , ∞ ) be continuous, strictly increasing and with f (0) = 0. Prove that Z a f ( x ) dx + Z b f-1 ( x ) dx ≥ ab for any a,b > 0, and give a condition for equality to hold. 1...
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