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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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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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3.
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Consider a line with slope m and
y-intercept  . Select the graph of the distance
between the origin and the line.
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4.
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Find the standard form of the equation of the
parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes
through the point 
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5.
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The revenue R (in dollars) generated by the
sale of x units of a patio furniture set is given by
 .
Approximate the number of sales that will maximize revenue.
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6.
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Find the vertex and focus of the parabola.
a. | vertex: (0, 0) focus:  | b. | vertex: (0,
0) focus:  | c. | vertex:  focus:  | d. | vertex: (0,
0) focus:  | e. | vertex:  focus:  |
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7.
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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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8.
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Find the center, vertices and foci of the
hyperbola.
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9.
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Find the standard form of the equation of the
hyperbola with the given characteristics and center at the origin.
Vertices:  ;
foci: 
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10.
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Find the standard form of the equation of the
hyperbola with the given characteristics.
Vertices: (4,0),(8,0); foci: (0,0),
(10,0)
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11.
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Select the graph of the equation as a circle, a
parabola, an ellipse, or a hyperbola.
a. | Ellipse | b. | Circle | c. | Hyperbola | d. | Parabola | e. | None of the
above |
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12.
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Find the center and foci of the
hyperbola.
a. | center: (–1, –4), foci: (–9,
–4), (7, –4) | b. | center: (–1,
–4), foci: (–1, –12), (–1, 4) | c. | center: (4, 1), foci: (4, –7), (4, 9) | d. | center: (–4, –1), foci: (–12, –1), (4,
–1) | e. | center: (1, 4), foci: (1, –4), (1,
12) |
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13.
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A point in rectangular coordinates is given.
Convert the point to polar coordinates.
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14.
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Select the graph of the polar equation using
symmetry, zeros, maximum r-values, and any other additional points.
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15.
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Select the graph of the polar equation using
symmetry, zeros, maximum r-values, and any other additional points.
a. | Symmetric with respect to  , the polar
axis, and the pole
 | d. | Symmetric with respect to  , the polar
axis, and the pole
 | b. | Symmetric with
respect to  , the polar axis, and the pole
 | e. | Symmetric with
respect to  , the polar axis, and the pole
 | c. | Symmetric with
respect to  , the polar axis, and the pole
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16.
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Select the graph of the polar equation using
symmetry, zeros, maximum r-values, and any other additional points.
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17.
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Select the graph of the equation.
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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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Select correct graph to graph rotated
conic.
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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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