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# 221evenanswers2 - 1 concave down-1 ∞ infection point...

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MA 221 Even Answers, Part 2 Lesson 13, Section 6.1, p. 213 2. - 1 2 10. - 2 12. 0 22. - 2 2 Lesson 14, Section 6.1, p. 213 54. 0 56. sin θ 64. sin 2 3 x 88. 1 2 sin 8 x Lesson 15, Section 6.2, p. 218 2. 6 cos 3 x 6. - 2 x sin x 2 22. 2 x (2 x cos 4 x + sin 4 x ) 34. sin 2 x 38. 2 x cos 2 x cos x 2 - 2 sin x 2 sin x cos x 48. - 0 . 17 A Lesson 16, Section 6.3, p. 222 2. 12 sec 2 4 x 18. 3 sec 3 x tan x 20. - csc 2 x 3 cot 2 / 3 x 24. 3 4 4 sec 3 θ tan 3 θ 1

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2 Lesson 17, Section 3.1, p. 102 4. increasing: ( - 1 , 0) (1 , ), decreasing: ( -∞ , - 1) (0 , 1) 6. (2 , - 1) is a minimum 1 2 3 1 - 1 b (2 , - 1) 12. maximum at ( - 1 , 9), minimum at (1 , 5) 1 - 1 - 2 - 3 1 2 3 4 5 6 7 8 9 b b 18. (0 , 0) is a minimum (because it is an endpoint)
3 1 2 3 1 2 Lesson 18, Section 3.2, p. 110 4. concave up: ( -∞ , 1], concave down: [1 , ) 6. concave up: [ - 2 , 0], concave down: ( -∞ , - 2) (0 , ) 8. concave up: ( -∞ , - 2), concave down: ( - 2 , ) 10. concave up everywhere, (1 , 0) is a minimum 1 2 - 1 1 2 3 b (1 , 0) 18. maximum at ( - 2 , 22), minimum at (1 , - 5), concave up: [ - 1 / 2 , ), concave down: ( -∞ , - 1 / 2], infection point at ( - 1 / 2 , 17 / 2)

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4 b b ( - 2 , 22) (1 , - 5) 20. maximum at (1 , 6), minimum at ( - 3 , - 26), concave up: ( -∞ , -

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Unformatted text preview: 1], concave down: [-1 , ∞ ), infection point at (-1 ,-10) b b (1 , 6) (-3 ,-26) 24. no maxima/minima/infection points, concave up: (0 , ∞ ), concave down: (-∞ , 0) 5 1 2 3-1-2-3 1 2 3-1-2-3 Lesson 19, Section 3.2, p. 110 30. minimum at (1 , 2), maximum at (-1 ,-2), concave up: (0 , ∞ ), concave down: (-∞ , 0), no infection points 1 2 3-1-2-3 1 2 3-1-2-3 6 Lesson 20, Section 3.4, p. 118 2. 0 . 302 A 14. 150 meters by 100 meters 16. 20 feet by 60 feet Lesson 21, Lesson 3.4, p. 118 22. The box is a cube with side length 2 3 √ 4 cm. 24. The wire should be cut in a way that uses 50 π 4 + π cm for the circle. 28. 2 ft by 2 ft by 3 ft 34. 45 new wells Lesson 22, Section 3.5, p. 127 2. 6 12. 314 cm 3 per second 16. 1 . 6 cm 2 per minute Lesson 23, Section 3.5, p. 128 20. 2 √ 7 3 m/s...
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221evenanswers2 - 1 concave down-1 ∞ infection point...

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