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1.
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Find the angle  (in radians
and degrees) between the lines. Round your answer to four decimal places for radians and round your
answer to one decimal places for degree.
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2.
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A roof has a rise of 5 feet for every horizontal
change of 7 feet (see figure). Find the
inclination of the roof. Round your answers to one decimal
place.
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3.
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Find the standard form of the equation of the
parabola with the given characteristic and vertex at the origin.
Focus: 
a. | 
y | b. | 
28x | c. | 
–28x | d. | 
28y | e. |  –28y |
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4.
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Find the vertex, focus, and directrix of the
parabola.
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5.
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Find the standard form of the equation of the
parabola with the given characteristics.
Vertex:  ; focus: 
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6.
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Find the center and vertices of the ellipse.
 = 0
a. | center: (3, –8)
vertices: (0, –8), (6, –8) | b. | center: (–8, 3)
vertices: (–11, 3), (–5, 3) | c. | center: (8, –3)
vertices: (7, –3), (9, –3) | d. | center: (8, –3)
vertices: (5, –3), (11, –3) | e. | center: (–8, 3)
vertices: (–9, 3), (–7,
3) |
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7.
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Find the center, vertices and foci of the
hyperbola.
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8.
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Find the standard form of the equation of the
hyperbola with the given characteristics and center at the origin.
Vertices:  ;
asymptotes:  
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9.
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Identify the equation as a circle, a parabola, an
ellipse, or a hyperbola.
a. | Ellipse | b. | Parabola | c. | Hyperbola | d. | Circle | e. | None of the
above |
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10.
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Select the graph of the equation as a circle, a
parabola, an ellipse, or a hyperbola.
a. | Hyperbola | b. | Circle | c. | Parabola | d. | Ellipse | e. | None of the
above |
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11.
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Find the vertices and asymptotes of the
hyperbola.
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12.
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Find the standard form of the equation of the
hyperbola with the given characteristics.
vertices:  foci: 
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13.
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Using following result find a set of parametric
equation of conic.
Circle:  , 
Circle: center:  ; radius: 
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14.
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Using following result find a set of parametric
equation of conic.
Hyperbola:  , 
Hyperbola: vertices:
 ; foci: 
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15.
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Select the parametric equations matching with the
following graph.
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16.
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A point (a,b) shown in below
graph in polar coordinates is given. Convert the point to rectangular coordinates.
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17.
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Convert the polar equation to rectangular
form.
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18.
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Identify the conic and select its correct
graph.
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19.
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Identify the conic and select its correct
graph.
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20.
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Find a polar equation of the conic with its focus
at the pole.
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