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Business Calc Homework w answers_Part_85

# Business Calc Homework w answers_Part_85 - Section 10.5 4 6...

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4. [ 2 9, 9] by [ 2 6, 6] (a) 1 2 3 cos } 5 6 p } , 2 3 sin } 5 6 p } 2 5 1 } 3 ˇ 2 3 w } , 2 } 3 2 } 2 (b) 1 5 cos 1 tan 2 1 1 } 4 3 } 22 , 5 sin 1 tan 2 1 1 } 4 3 } 222 5 (3, 4) (c) ( 2 1 cos 7 p , 2 1 sin 7 p ) 5 (1, 0) (d) 1 2 ˇ 3 w cos } 2 3 p } , 2 ˇ 3 w sin } 2 3 p } 2 5 ( 2 ˇ 3 w , 3) 5. [ 2 6, 6] by [ 2 4, 4] (a) r 5 ˇ ( 2 w 1 w ) 2 w 1 w 1 w 2 w 5 ˇ 2 w , tan u 5 } 2 1 1 } 5 2 1 with u in quadrant II. The coordinates are 1 ˇ 2 w , } 3 4 p } 2 . 1 ˇ 2 w , 2 } 5 4 p } 2 also works, since r is the same and u differs by 2 p . (b) r 5 ˇ 1 w 2 w 1 w ( w 2 w ˇ w 3 w w ) 2 w 5 2, tan u 5 2 } ˇ 1 3 w } 5 2 ˇ 3 w with u in quadrant IV. The coordinates are 1 2, 2 } p 3 } 2 . 1 2 2, } 2 3 p } 2 also works, since r has the opposite sign and u differs by p . (c) r 5 ˇ 0 w 2 w 1 w 3 w 2 w 5 3, tan u 5 } 3 0 } is undefined with u on the positive y -axis. The coordinates are 1 3, } p 2 } 2 . 1 3, } 5 2 p } 2 also works, since r is the same and u differs by 2 p . (d) r 5 ˇ ( 2 w 1 w ) 2 w 1 w 0 w 2 w 5 1, tan u 5 } 2 0 1 } 5 0 with u on the negative x -axis. The coordinates are (1, p ). ( 2 1, 0) also works, since r has the opposite sign and u differs by p . 6. [ 2 9, 9] by [ 2 6, 6] (a) r 5 ˇ ( 2 w ˇ w 3 w w ) 2 w 1 w ( w 2 w 1 w ) 2 w 5 2, tan u 5 } 2 2 ˇ 1 3 w } 5 } ˇ 1 3 w } with u in quadrant III. The coordinates are 1 2, } 7 6 p } 2 . 1 2 2, } p 6 } 2 also works, since r has the opposite sign and u differs by p . (b) r 5 ˇ 3 w 2 w 1 w 4 w 2 w 5 5, tan u 5 } 4 3 } with u in quadrant I. The coordinates are 1 5, tan 2 1 } 4 3 } 2 . 1 2 5, p 1 tan 2 1 } 4 3 } 2 also works, since r has the opposite sign and u differs by p . (c) r 5 ˇ 0 w 1 w ( w 2 w 2 w ) 2 w 5 2, tan u 5 2 } 2 0 } is undefined with u on the negative y -axis. The coordinates are 1 2, } 3 2 p } 2 . 1 2, 2 } p 2 } 2 also works, since r is the same and u differs by 2 p . (d) r 5 ˇ 2 w 2 w 1 w 0 w 2 w 5 2, tan u 5 } 0 2 } 5 0 with u on the positive x -axis. The coordinates are (2, 0). (2, 2 p ) also works, since r is the same and u differs by 2 p . 7. [ 2 6, 6] by [ 2 4, 4] 8. [ 2 6, 6] by [ 2 4, 4] 9. [ 2 3, 3] by [ 2 2, 2] 10. [ 2 3, 3] by [ 2 2, 2] Section 10.5 421

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11. [ 2 9, 9] by [ 2 6, 6] 12. [ 2 6, 6] by [ 2 4, 4] 13. [ 2 3, 3] by [ 2 2, 2] 14. [ 2 3, 3] by [ 2 2, 2] 15. [ 2 3, 3] by [ 2 2, 2] 16. [ 2 3, 3] by [ 2 2, 2] 17. [ 2 1.8, 1.8] by [ 2 1.2, 1.2] 18. [ 2 3, 3] by [ 2 2, 2] 19. y 5 r sin u , so the equation is y 5 0, which is the x -axis.
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Business Calc Homework w answers_Part_85 - Section 10.5 4 6...

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