mac1147_review_3_ans

mac1147_review_3_ans - Answers Review Unit III 1. (a) ln 33...

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Answers – Review Unit III 1. (a) ln 33 ln 2 ⎧⎫ ⎪⎪ ± ⎨⎬ ⎩⎭ (b) { } ln 5 (c) ln 20 ln(5 / 4) (d) 3ln6 ln 4 2. (a) { } 1, 7 (b) 10 7 (c) { } 3 (d) { } 87 3. (a) 1 (b) 3 ,0 xx > (c) 2 2 x (d) 2 1 2 x e, f cannot be simplified 4. 1 5. 2 3 32 log y x 6. 666 13 1 log log 2log 22 x yz ++− 7. (a) 1 ln 2 (b) 1 log 2 x (c) 3 2 8. (a) ln10 ln 9 2.65 4ln1.01 t =≈ years (b) ln10 ln 9 2.63 0.04 t years 9. 2 3 hours 10. (a) 2 2000 270.67 e grams (b) ln 2 34.66 0.02 t days 11. (a) 130 ° (b) 5 50 18 π α = 12. 125 12 sq. cm 13. 80 radians/min 14. 25 sin 5 θ =− 5 cos 5 = tan 2 = − 15. (a) 2 (b) (c) 0 (d) 1 16. 3 4 A = , 2 3 T = , 4 B = , 3 φ ω = − 17. 18. 2sin 24 yx ⎛⎞ ⎜⎟ ⎝⎠ or 2cos =+ 19. (a) 42 x n , 0, 1, 2,. .. n =±± (b) 4 x n , 0, 1, 2,. .. n = ±± (c) 0 y = and y = (d) 2 y =
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20. (a) 4 π (b) 5 6 (c) 3 (d) 2 3 (e) 2 21. (a) 3 2 (b) 2 2 (c) 22 3 (d) 5 13 (e) 37 7 22. (a) 2 (b) 6 7 (c) 7 8 (d) 4 23. 2 1 u 24. (a) 1 (b) 1s i n 2 θ (c) 2cot 26. (a) 62 7 12 + (b) 321 4 12 + (c) 7 9 (d) 27. 24 2 2 15 28. (a) 26 7 5 (b) 726 14 + (c) 14 29. (a) 23 4 (b) 2 2 30. (a) 4 n =+ , 0, 1, 2. .. n =±± (b) 2 2 , 0, 1, 2. .. 3 nn ±+ = ± ± ⎩⎭ (c) 5 2, 0 ,1 ,2 . . . 44 n ππ ⎧⎫ −+ + ⎨⎬ (d) 4 n =± + , 0, 1, 2. .. n 31. 5 0, , 33 32. (a) 3 , 2 , 0 . . . 4 n n ++
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_review_3_ans - Answers Review Unit III 1. (a) ln 33...

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