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Unformatted text preview: 4. x = cos 2 t, y = cos t for 0 ≤ t ≤ 3 π 5. x = 3sin t, y = 2cos t for 0 ≤ t ≤ 3 π 2 6. x = 3sec t, y = 2tan t for 0 ≤ t ≤ π 2 & π 2 ≤ π 7. x = sec t + tan t, y = sec ttan t on the same domain as in problem 6 8. Let x = t 2 + 4 , y = 2 t 5 + t 4 . (a) Find dy dx as a function of t. (b) Find d 2 y dx 2 as a function of t. 9. Do 28 in Ex 10.2. 10. Find the arc length of each curve. (a) y = x 3 6 + 1 2 x for 1 ≤ x ≤ 2 1 (b) y = ln(cos x ) for 0 ≤ x ≤ π 3 11. Do 7, 9, 11, 13, 15 in Ex 8.2. 12. In Ex 10.2, do 41, 42, 54, 59–61, 65, 66. 2...
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 Spring '08
 Bonner
 Equations, 3 sec, ex, Parametric equation, π π

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