ISM_T11_C10_F - Section 10.6 Graphing in Polar Coordinates...

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Section 10.6 Graphing in Polar Coordinates 655 21. (a) (b) 22. (a) (b) 23. (a) (b) 24. (a) (b) 25.
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656 Chapter 10 Conic Sections and Polar Coordinates 26. r 2 sec r r cos 2 x 2 œÊ œ Êœ Ê œ )) 2 cos ) 27. 28. 29. is the same point as 2 ; r 2 sin 2 2 sin 2 2 is on the graph ˆ ˆ ˆ‰ ˆ # ß ± ß ± œ ±œ ± Ê ± ß ± 3 44 4 4 11 1 1 1 # is on the graph Ê# ß 3 4 1 30. is the same point as ; r sin sin is on the graph ˆ ˆ Š‹ "" " " " ## # # # # # ß± ß œ ± œ ± œ ± Ê ± ß Ê ß 3 3 22 3 6 111 1 1 1 # is on the graph 31. 1 cos 1 cos cos 0 , ²œ ± Ê œ Ê œ ) ) 3 r 1; points of intersection are and . Ê œ ˆ ‰ˆ‰ 3 The point of intersection ( 0) is found by graphing. 32. 1 sin 1 sin sin 0 0, r 1; ± Ê œ Ê œ ) ) 1 points of intersection are (1 0) and (1 ). The point of ßß 1 intersection ( 0) is found by graphing.
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Section 10.6 Graphing in Polar Coordinates 657 33. 2 sin 2 sin 2 sin sin 2 sin )) ) ) ) œÊ œ Ê 2 sin cos sin 2 sin cos 0 ± œ ) (sin )(1 2 cos ) 0 sin 0 or cos ʱ œ Ê œ œ " # 0, , , or ; 0 or r 0, Êœ ± œ )1 ) 1 11 33 r 3 , and r 3 ; points of œÊœ œ
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This note was uploaded on 10/13/2011 for the course MATHEMATIC 103 taught by Professor Thommas during the Spring '11 term at LCC Intl University.

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ISM_T11_C10_F - Section 10.6 Graphing in Polar Coordinates...

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