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t-11-18-09

# t-11-18-09 - 4 x = cos 2 t y = cos t for 0 ≤ t ≤ 3 π 5...

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Review for Test 3 on Nov. 18 1. Do 21 in Ex 11.10. Hint: Use Red Boxes 8 & 9 , P 737, similar to the way the author used these Red Boxes starting at the top of p 740 to finish his solution to Example 4. 2. (a) In Ex 11.10, do 63–68. Make use of the series in Table 1, p 743. (b) From Another Review for Test 2, do 11, 12, 16–29. (c) Do 28 in Ex 11.8. In 3–7: (a) First find a cartesian equation for the curve traced out by the parametric equations. (b) Then sketch the curve traced out by the parametric equations and indicate the direction in which the point ( x, y ) moves as t increases. 3. x = cos 2 t, y = 2 sin 2 t for 0 t 2 π 4. x = cos

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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 t-tan 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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