For Exercises 23–32, a. Identify the center of the ellipse. b. Identify the vertices. c. Identify the endpoints of the minor axis. d. Identify the foci. e. Graph the ellipse. (See Example 3) ( x + 4 ) 2 49 + ( y − 2 ) 2 64 = 1
For Exercises 23–32, a. Identify the center of the ellipse. b. Identify the vertices. c. Identify the endpoints of the minor axis. d. Identify the foci. e. Graph the ellipse. (See Example 3) ( x + 4 ) 2 49 + ( y − 2 ) 2 64 = 1
Solution Summary: The author calculates the center of the ellipse, which is (x+4)249+
Write the equation of the ellipse that has a center at (- 4, - 5), a focus at ( – 1, – 5), and a
vertex at (- 8, - 5).
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5. Write the equation of the ellipse given that the co-vertices
are (-13,7), and (-3,7); and the length of the major axis is 16.
hz-8
2. Suppose that the last three digits of your student number are like. abc . It is not
important whether it is a 4 digit number or a 5 digit number, take the last three
:+(-1) ;
(b+1)3
digits as abc. Consider the conic (-1)ª
following.
Major semiaxis
Minor semiaxis
(-1)ab. Find the
%3D
(a+1)a
i.
ii.
iii.
Vertices
iv.
Foci
Eccentricity
Directrices
Asymptotes (if it is a hyperbola) and the graph (geogebra or nice handmade)
V.
vi.
vii.
Now, consider the Quadratic Surface
(-1)ª.
(a+1)a
+(-1) + (-1)°
(b+1)
=(-1)abe.
(c+1)2
Find the following.
Name of the surface
viii.
ix.
Traces of the surface
Nice Graph (in GeoGebra or handmade)
х.
For example, your professor's ID number is 0000005121. So, he will study the conic
(-1) + (-1) =(-1)*2 which gives (-) +
(-1)',
(1+1)
= (-1)12 which gives (-) +
= 1. Also he will
(2+1)3
4
study the quadratic surface (-1)'
(1+1)2
+ (-1)² -
(2+1)a
+ (-1)';
:(-1)121
(1+1)
which gives. (-) + + (-÷) = 1.
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