In Exercises 51-60, convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 51. 9x? + 25y? – 36x + 50y – 164 = 0 52. 4x + 9y? - 32x + 36y + 64 = 0 53. 9x? + 16y? - 18x + 64y - 71 = 0 54. x + 4y? + 10x 8y + 13 = 0 55. 4x2 + y? + 16x – 6y – 39 = 0 56. 4x + 25y? – 24x + 100y + 36 = 0 57. 25x + 4y - 150x + 32y + 189 = 0 %3D 58. 49x? + 16y² + 98x – 64y - 671 = 0 59. 36x? + 9y2 - 216x = 0 %3! 60. 16x? + 25y² – 300y + 500 = 0 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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In Exercises 51-60, convert each equation to standard form by
completing the square on x and y. Then graph the ellipse and give
the location of its foci.
51. 9x? + 25y? – 36x + 50y – 164 = 0
52. 4x + 9y? - 32x + 36y + 64 = 0
53. 9x? + 16y? - 18x + 64y - 71 = 0
54. x + 4y? + 10x
8y + 13 = 0
55. 4x2 + y? + 16x – 6y – 39 = 0
56. 4x + 25y? – 24x + 100y + 36 = 0
57. 25x + 4y - 150x + 32y + 189 = 0
%3D
58. 49x? + 16y² + 98x –
64y - 671 = 0
59. 36x? + 9y2 - 216x = 0
%3!
60. 16x? + 25y² – 300y + 500 = 0
%3D
Transcribed Image Text:In Exercises 51-60, convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 51. 9x? + 25y? – 36x + 50y – 164 = 0 52. 4x + 9y? - 32x + 36y + 64 = 0 53. 9x? + 16y? - 18x + 64y - 71 = 0 54. x + 4y? + 10x 8y + 13 = 0 55. 4x2 + y? + 16x – 6y – 39 = 0 56. 4x + 25y? – 24x + 100y + 36 = 0 57. 25x + 4y - 150x + 32y + 189 = 0 %3D 58. 49x? + 16y² + 98x – 64y - 671 = 0 59. 36x? + 9y2 - 216x = 0 %3! 60. 16x? + 25y² – 300y + 500 = 0 %3D
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