Pre-Calc Homework Solutions 424

Pre-Calc Homework Solutions 424 - 2 3 3 by 2 1 3(b Length...

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47. x 2 1 ( y 2 2) 2 5 4 r 2 cos 2 u 1 ( r sin u 2 2) 2 5 4 r 2 cos 2 u 1 r 2 sin 2 u 2 4 r sin u 1 4 5 4 r 2 2 4 r sin u 5 0 r 5 4 sin u . The graph is a circle centered at (0, 2) with radius 2. [ 2 4.7, 4.7] by [ 2 1.1, 5.1] 48. ( x 2 3) 2 1 ( y 1 1) 2 5 4 ( r cos u 2 3) 2 1 ( r sin u 1 1) 2 5 4 r 2 cos 2 u 2 6 r cos u 1 9 1 r 2 sin 2 u 1 2 r sin u 1 1 5 4 r 2 2 6 r cos u 1 2 r sin u 1 6 5 0 r 5 r 5 3 cos u 2 sin u 6 ˇ (3 w c w o w s w u w 2 w s w in w u w ) 2 w 2 w 6 w [ 2 6, 6] by [ 2 4, 4] In Exercises 49–58, find the minimum u -interval by trying different intervals on a graphing calculator. 49. (a) [ 2 3, 3] by [ 2 2, 2] (b) Length of interval 5 2 p 50. (a) [ 2 6, 6] by [ 2 4, 4] (b) Length of interval 5 2 p 51. (a) [ 2 1.5, 1.5] by [ 2 1, 1] (b) Length of interval 5 } p 2 } 52. (a) [ 2 3, 3] by [ 2 2, 2] (b) Length of interval 5 2 p 53. (a) [ 2 3.75, 3.75] by [ 2 2, 3] (b) Length of interval 5 2 p 54. (a) [ 2 1.5, 1.5] by [ 2 1, 1] (b) Length of interval 5 4 p 55. (a) [ 2 15, 15] by [ 2 10, 10] (b) Required interval 5 ( 2‘ , ) 56. (a) [ 2 3, 3] by [ 2 2, 2] (b) Length of interval 5 2 p 57. (a) [ 2 3, 3] by [ 2 2, 2] (b) Length of interval 5 p 58. (a)
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Unformatted text preview: [ 2 3, 3] by [ 2 1, 3] (b) Length of interval 5 2 p 59. If ( r , u ) is a solution, so is ( 2 r , u ). Therefore, the curve is symmetric about the origin. And if ( r , u ) is a solution, so is ( r , 2 u ). Therefore, the curve is symmetric about the x-axis. And since any curve with x-axis and origin symmetry also has y-axis symmetry, the curve is symmetric about the y-axis. 60. If ( r , u ) is a solution, so is ( 2 r , u ). Therefore, the curve is symmetric about the origin. The curve does not have x-axis or y-axis symmetry. 6 cos u 2 2 sin u 6 ˇ (6 w c w o w s w u w 2 w 2 w s w in w u w ) 2 w 2 w 2 w 4 w }}}}} 2 424 Section 10.5...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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