homework5

# homework5 - (a) [5 points] Find the area of the region....

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Math 1120 Homework 5 Due 9/29 or 9/30, 2011 Name: GRADES Book questions / 8 Presentation questions / 30 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 — 8.1: 4, 12, 20, 22 8.2: 6, 26, 36, 58 Presentation questions 1. (8.1: 58) Consider the region bounded by the graphs of y = tan - 1 x , y = 0 and x = 1.

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Unformatted text preview: (a) [5 points] Find the area of the region. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 5 — due 9/29 or 9/30 2 (b) [5 points] Find the volume of the solid formed by revolving this region about the y –axis. 2. [10 points] (8.2: 69, adapted) Show that the length of the curve y = ln(sec x ), ≤ x ≤ π/ 4 is ln(1 + √ 2). CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 5 — due 9/29 or 9/30 3 3. [10 points] Let R be the region enclosed by the curves y = 0, y = e x-1, x = 1. Find the vertical line x = C to the left of R (that is, ±nd the number C ) such that rotating R around this line will produce a solid with volume 2 π . 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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homework5 - (a) [5 points] Find the area of the region....

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