homework9

# homework9 - By setting up and solving an appropriate...

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Math 1120 Homework 9 Due 10/27 or 10/28, 2011 Name: GRADES Book questions / 8 Presentation questions / 37 Print out these pages. Answer the “presentation questions” in the spaces provided. Include full explanations and write your answers in complete, mathematically and grammatically correct sentences. Your answers will be assessed for style and accuracy; you will be given written feedback on these prob- lems. Write your answers to the “book questions” on separate paper and staple to these pages. They will be assessed only for completeness. Always write neatly and legibly. Book questions — 9.2: 2, 4, 16 7.1: 6, 48, 7.2: 8, 12, 20 Presentation questions 1. [10 points] A wooden statue is discovered with 30% of the radioactive carbon which is found in a freshly cut trees. Assume the half–life of radioactive carbon is 5500 years.

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Unformatted text preview: By setting up and solving an appropriate diFerential equation, ±nd the age of the statue. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 9 — due 10/27 or 10/28 2 2. (a) [3 points] Give the defnition oF ln x as an integral. (b) [7 points] Using your defnition From part (a), show careFully that ln( bx ) = ln( b ) + ln( x ). (c) [7 points] Using the defnition oF e x as the inverse oF ln( x ), show that e a · e b = e a + b . You may use the standard properties oF logarithms. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 9 — due 10/27 or 10/28 3 3. (9.2: 32) [10 points] Please see the textbook, page 528, for this question and some guidance on how to solve it. THIS IS THE LAST PAGE....
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## This note was uploaded on 10/31/2011 for the course MATH 1120 at Cornell.

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homework9 - By setting up and solving an appropriate...

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