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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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