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Unformatted text preview: ,1), (1 , 0) and (0 , 1) is rotated about the line x = 2. 3. Find the length of the given curves in parts (a)–(c). (a) y = ln cos x from x = π/ 6 to x = π/ 4. (b) x = y 3 / 2 from y = 0 to y = 4. (c) y 2 = 4 x 3 from y =2 to y = 16. 4. Find the circumference of the closed curve x 2 / 3 + y 2 / 3 = a 2 / 3 . 5. In parts (a)–(e), ﬁnd the areas of the surfaces obtained by rotating the curve about the indicated axis. (a) y = x 3 / 2 , (0 ≤ x ≤ 1), about the yaxis. (b) y = e x , (0 ≤ x ≤ 1), about the xaxis. (c) y = sin x , (0 ≤ x ≤ π ), about the xaxis. (d) x = y 3 , (1 ≤ y ≤ 2), about the yaxis. (e) y 2 + x = 4, (0 ≤ x ≤ 4), about the xaxis....
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This note was uploaded on 01/26/2012 for the course ECON 401 taught by Professor Burbidge,john during the Fall '08 term at Waterloo.
 Fall '08
 Burbidge,John

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