Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Topic Video
Question
Questions 4
KFUPM – PREP MATH PROGRAM – MATH002 – TERM 203
12.2 & 12.3 Recitation Exercises
1. Find the center, the vertices, foci, and eccentricity of the ellipse given by the
equation
a) 3x2 + 2y2 – 6x + 12y
= -15
b) 3y2 + 2x2 – 6y + 12x = -15
2.
a) Find the equation of the ellipse that has vertices at (3,8) and (3, -2), and
foci at (3,6) and (3,0).
b) Find the equation in standard form, of the ellipse with foci at (-1,2) and
(3,2) that passes through the point (3,5).
(x+1)2
(y-2)2
3. Find the points of intersection of the ellipse
= 1, and the
16
hyperbola
(x+1)²
(y-2)2
= 1:
16
a)
By solving the system of nonlinear equations.
b) By graphing.
4. Find the equation in standard form of the hyperbola with vertices (-1,0) and
V5
(-1,–4), and eccentricity e =
2'
5. Write the following equations in standard form and identify the corresponding
conics
a)
x² – 4x + y2 + 2y + 2 = 0.
b)
2x2 – 8x – 2y? – 4y = 0.
c)
27x2 + 36y2 + 18x + 36y – 96 = 0.
Transcribed Image Text:KFUPM – PREP MATH PROGRAM – MATH002 – TERM 203 12.2 & 12.3 Recitation Exercises 1. Find the center, the vertices, foci, and eccentricity of the ellipse given by the equation a) 3x2 + 2y2 – 6x + 12y = -15 b) 3y2 + 2x2 – 6y + 12x = -15 2. a) Find the equation of the ellipse that has vertices at (3,8) and (3, -2), and foci at (3,6) and (3,0). b) Find the equation in standard form, of the ellipse with foci at (-1,2) and (3,2) that passes through the point (3,5). (x+1)2 (y-2)2 3. Find the points of intersection of the ellipse = 1, and the 16 hyperbola (x+1)² (y-2)2 = 1: 16 a) By solving the system of nonlinear equations. b) By graphing. 4. Find the equation in standard form of the hyperbola with vertices (-1,0) and V5 (-1,–4), and eccentricity e = 2' 5. Write the following equations in standard form and identify the corresponding conics a) x² – 4x + y2 + 2y + 2 = 0. b) 2x2 – 8x – 2y? – 4y = 0. c) 27x2 + 36y2 + 18x + 36y – 96 = 0.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning