3. r3D 0, 6ө > 0 34. r = 0², –2 < 0 < 2T 35. r 3 3 соs 30 36. r = -sin 50 37. r3 2 сos 40 38. r = 2 sin 60 39. r= 1 + 3 cos 0 40. r = 1 + 83 / 206

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve 34,35 and 36

25. х? + у? — 2сх
26. х? — у? — 4
51.
27-28 For each of the described curves, decide if the curve would
be more easily given by a polar equation or a Cartesian equation.
Then write an equation for the curve.
27. (a) A line through the origin that makes an angle of T/6 with
52.
the positive x-axis
(b) A vertical line through the point (3, 3)
53.
28. (a) A circle with radius 5 and center (2, 3)
(b) A circle centered at the origin with radius 4
29–46 Sketch the curve with the given polar equation by first
sketching the graph of r as a function of 0 in Cartesian coordinates.
54.
29. r = -2 sin 0
30. r = 1 – cos 0
31. r = 2(1 + cos 0)
32. r = 1 + 2 cos 0
33. r= 0, 0 > 0
34. r = 0?, –2Ħ< 0 < 2m
35. r 3 3 сos 30
36. r = -sin 50
37. r = 2 cos 40
38. r= 2 sin 60
39. r= 1 + 3 cos 0
40. r= 1 +
83 / 206
41. r? = 9 sin 20
42. r? = cos -
%3D
43. r= 2 + sin 30
44. r²0 = 1
45. r= sin (0/2)
46. r= cos(0/3)
47-48 The figure shows a graph of r as a function of 0 in
Cartesian coordinates. Use it to sketch the corresponding polar
curve.
47.
55-
2+
the
1-
55.
57.
48.
rA
59.
2
61-
1+
hor
61.
27 0
63.
Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to ele
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning
Transcribed Image Text:25. х? + у? — 2сх 26. х? — у? — 4 51. 27-28 For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. 27. (a) A line through the origin that makes an angle of T/6 with 52. the positive x-axis (b) A vertical line through the point (3, 3) 53. 28. (a) A circle with radius 5 and center (2, 3) (b) A circle centered at the origin with radius 4 29–46 Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0 in Cartesian coordinates. 54. 29. r = -2 sin 0 30. r = 1 – cos 0 31. r = 2(1 + cos 0) 32. r = 1 + 2 cos 0 33. r= 0, 0 > 0 34. r = 0?, –2Ħ< 0 < 2m 35. r 3 3 сos 30 36. r = -sin 50 37. r = 2 cos 40 38. r= 2 sin 60 39. r= 1 + 3 cos 0 40. r= 1 + 83 / 206 41. r? = 9 sin 20 42. r? = cos - %3D 43. r= 2 + sin 30 44. r²0 = 1 45. r= sin (0/2) 46. r= cos(0/3) 47-48 The figure shows a graph of r as a function of 0 in Cartesian coordinates. Use it to sketch the corresponding polar curve. 47. 55- 2+ the 1- 55. 57. 48. rA 59. 2 61- 1+ hor 61. 27 0 63. Copyright 2016 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to ele Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning
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