Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse having a focus at (8, 0) and eccentricity equal to 
.
A. 
+ 
= 1
B. 
+ y2 = 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: C
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Find the Jacobian for the given transformation.
A. 3,840 B. -80 C. 48 D. -48
Determine whether the specified paradox occurs.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table. 
Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161?
A. Yes B. No
Set the viewing rectangle of your graphing calculator to 
by 
to solve the problem.Find a set of parametric equations evaluated over 0 ? t ? 2? that produces the graph shown.
A.
| x1 = -1 + 2cos(t), | y1 = -1 + 2sin(t) |
| x2 = 3 + 2cos(t), | y2 = -1 + 2sin(t) |
| x3 = 1 + 3cos(0.5t), | y3 = 1 + 3sin(0.5t) |
B.
| x1 = -1 + 2cos(t), | y1 = -1 + 2sin(t) |
| x2 = 5 + 2cos(t), | y2 = -1 + 2sin(t) |
| x3 = 2 + 3cos(t), | y3 = 1 + 3sin(t) |
C.
| x1 = -1 + 2cos(t), | y1 = -1 + 2sin(t) |
| x2 = 5 + 2cos(t), | y2 = -1 + 2sin(t) |
| x3 = 2 + 2cos(0.5t), | y3 = 1 + 2sin(0.5t) |
D.
| x1 = -1 + 2cos(t), | y1 = -1 + 2sin(t) |
| x2 = 5 + 2cos(t), | y2 = -1 + 2sin(t) |
| x3 = 2 + 3cos(0.5t), | y3 = 1 + 3sin(0.5t) |
Plot the ordered pairs on the rectangular coordinate system provided.A(4, 6), B(-3, 1)
A. 
B. 
C. 
D. 