# Section 9.1 Conics and Calculus

Education

24

All Questions

24

Multiple Choice

0

True False

0

Essay

0

Short Answer

0

Not Answered

Q 1

Match the equation with its graph.
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Match the equation with its graph.
A)
B)
C)
D)
E)

Free

Multiple Choice

C

Q 3

Match the equation with its graph.
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 4

Match the equation with its graph.
A)
B)
C)
D)
E)none of these

Multiple Choice

Q 5

Find the vertex of the parabola given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Find the focus of the parabola given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Find the directrix of the parabola given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Find the vertex,focus,and directrix of the parabola and sketch its graph.
A)vertex: ;focus:
;directrix
B)vertex: ;focus:
;directrix
C)vertex: ;focus:
;directrix
D)vertex: ;focus:
;directrix
E)vertex: ;focus:
;directrix

Multiple Choice

Q 9

Find an equation of the parabola with vertex and directrix .
A)
B)
C)
D)
E)

Multiple Choice

Q 10

Find the center of the ellipse given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Find the foci of the ellipse given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 12

Find the center,foci,vertices,and eccentricity of the ellipse.
A)center: vertices:
foci:
eccentricity:
B)center: vertices:
foci:
eccentricity:
C)center: vertices:
foci:
eccentricity:
D)center: vertices:
foci:
eccentricity:
E)center: vertices:
foci:
eccentricity:

Multiple Choice

Q 13

Find the eccentricity of the ellipse given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 14

Find the vertices of the ellipse given by .
A)
B)
C)
D)
E)

Multiple Choice

Q 15

Find an equation of the ellipse with vertices and eccentricity .
A)
B)
C)
D)
E)

Multiple Choice

Q 16

Find the center,foci,and vertices of the hyperbola.
A)center: ;vertices:
,
;foci:
.
B)center: ;vertices:
,
;foci:
.
C)center: ;vertices:
,
;foci:
.
D)center: ;vertices:
,
;foci:
.
E)center: ;vertices:
,
;foci:
.

Multiple Choice

Q 17

Find an equation of the hyperbola with vertices and asymptotes .
A)
B)
C)
D)
E)

Multiple Choice

Q 18

Find an equation of the hyperbola with vertices and asymptotes .
A)
B)
C)
D)
E)

Multiple Choice

Q 19

Classify the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.
A)parabola
B)ellipse
C)circle
D)hyperbola

Multiple Choice

Q 20

Classify the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.
A)circle
B)hyperbola
C)ellipse
D)parabola

Multiple Choice

Q 21

Classify the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.
A)hyperbola
B)circle
C)ellipse
D)parabola

Multiple Choice

Q 22

Classify the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.
A)parabola
B)circle
C)ellipse
D)hyperbola

Multiple Choice

Q 23

Uranus moves in an elliptical orbit with the sun at one of the foci.The length of the half of the major axis is 2,876,769,540 kilometers,and the eccentricity is 0.0444.Find the minimum distance (perihelion)of Uranus from the sun.Round your answer to nearest kilometer.
A)3,004,498,108 km
B)2,749,040,972 km
C)2,819,234,149 km
D)7,819,870,365 km
E)2,934,304,931 km

Multiple Choice

Q 24

Mercury moves in an elliptical orbit with the sun at one of the foci.The length of the half of the major axis is 56,996,838 kilometers,and the eccentricity is 0.2056.Find the maximum distance (aphelion)of Mercury from the sun.Round your answer to nearest kilometer.
A)55,856,901 km
B)11,718,550 km
C)58,136,775 km
D)68,715,388 km
E)45,278,288 km

Multiple Choice