48. Ellipse: vertices: (-1, 8), (-1, - 12); foci: (-1, 4),(-1, -8)

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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Eliminating a Parameter In Exercises 39-42, eliminate
the parameter and obtain the standard form of the rectangular
equation, Juods ouonoo alel
80
39. Line through (x, y1) and (x2, y2):
gale
x = x, + t(x, - x1), y = yt (y2 Y1) nexO
to dgs
aru
40. Circle: x = h + r cos 0, y = k + r sin 0
41. Ellipse: x = h + a cos 0,y = k + b sin 0 znoinsupo
42. Hyperbola: x = h + a sec 0, y= k + b tan 0no
Writing a Set of Parametric Equations In Exercises
43-50, use the results of Exercises 39-42 to find a set of
parametric equations for the line or conic.
43. Line: passes through (0, 0) and (4, -7)
44. Line: passes through (-3, 1) and (1, 9)
worle
45. Circle: center: (1, 1); radius: 2
HOM
wolsd
46. Circle: center: (-,-4); radius:
|
(n)
47. Ellipse: vertices: (-3, 0), (7, 0); foci: (-1, 0), (5, 0)
48. Ellipse: vertices: (-1, 8), (-1, - 12); foci: (-1, 4), (-1, -8)
49. Hyperbola: vertices: (0, +1); foci: (0, /5)
50. Hyperbola: vertices: (-2, 1), (0, 1); foci: (-3, 1), (1, 1)
Transcribed Image Text:Eliminating a Parameter In Exercises 39-42, eliminate the parameter and obtain the standard form of the rectangular equation, Juods ouonoo alel 80 39. Line through (x, y1) and (x2, y2): gale x = x, + t(x, - x1), y = yt (y2 Y1) nexO to dgs aru 40. Circle: x = h + r cos 0, y = k + r sin 0 41. Ellipse: x = h + a cos 0,y = k + b sin 0 znoinsupo 42. Hyperbola: x = h + a sec 0, y= k + b tan 0no Writing a Set of Parametric Equations In Exercises 43-50, use the results of Exercises 39-42 to find a set of parametric equations for the line or conic. 43. Line: passes through (0, 0) and (4, -7) 44. Line: passes through (-3, 1) and (1, 9) worle 45. Circle: center: (1, 1); radius: 2 HOM wolsd 46. Circle: center: (-,-4); radius: | (n) 47. Ellipse: vertices: (-3, 0), (7, 0); foci: (-1, 0), (5, 0) 48. Ellipse: vertices: (-1, 8), (-1, - 12); foci: (-1, 4), (-1, -8) 49. Hyperbola: vertices: (0, +1); foci: (0, /5) 50. Hyperbola: vertices: (-2, 1), (0, 1); foci: (-3, 1), (1, 1)
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