The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section. e = 
, y = -9
A. r = 
B. r = 
C. r = 
D. r = 
Answer: A
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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 sin t, y = 5 cos t, 0 ? t ? 2?
A. 
+ 
= 1
Counterclockwise from (0, 3) to (0, 3), one rotation
B. 
+ 
= 1
Counterclockwise from (5, 0) to (5, 0), one rotation
C. 
+ 
= 1
Counterclockwise from (3, 0) to (3, 0), one rotation
D. 
+ 
= 1
Counterclockwise from (0, 5) to (0, 5), one rotation
Integrate the function.
dt
A. - 
5+ C
B. - 
5+ C
C. - 
D. - 
5+ sec-1
+ C
Graph the solution set of the inequality, where x is an integer, on the number line.x + 3 > 1
A. 
B. 
C. 
D. 
Solve the given third- or fourth-order differential equation.D4y - 2 D3y - 9 D2y + 18 Dy = 0
A. y = c1 + c2e3x + c3e-3x+ c4e2x B. y = c1 + c2e3x + c3e-3x + c4e-2x C. y = c1e3x + c2e-3x+ c3e-2x D. y = c1e3x + c2e-3x + c3e-2x