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Find the equation of the parabola with vertex ( Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E) , 3) and directrix Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)


A) Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)
B) Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)
C) Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)
D) Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)
E) Find the equation of the parabola with vertex ( , 3) and directrix A) B) C) D) E)

F) A) and E)
G) All of the above

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Find the value(s) of t for which the tangents to Find the value(s) of t for which the tangents to is/are horizontal. A) B) 0 C) D) E) is/are horizontal.


A) Find the value(s) of t for which the tangents to is/are horizontal. A) B) 0 C) D) E)
B) 0
C) Find the value(s) of t for which the tangents to is/are horizontal. A) B) 0 C) D) E)
D) Find the value(s) of t for which the tangents to is/are horizontal. A) B) 0 C) D) E)
E) Find the value(s) of t for which the tangents to is/are horizontal. A) B) 0 C) D) E)

F) B) and C)
G) A) and E)

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Find the equation of the ellipse with a major axis length of Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E) , a minor axis length of Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E) , center at Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E) , and foci on Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E) .


A) Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E)
B) Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E)
C) Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E)
D) Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E)
E) Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on . A) B) C) D) E)

F) A) and B)
G) A) and D)

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Put the rectangular equation y = 3x2 + 3 into parametric form.


A) x = 3t, y = t2 + 3
B) x = t + 3, y = 3t2
C) x = t2, y = 3t2 + 3
D) x = t, y = 3t2 + 3
E) x = 3t2, y = t2 + 3

F) C) and E)
G) A) and B)

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Find the arclength of the curve Find the arclength of the curve . .

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Find the equation for the parabola whose directrix is y = 3 and vertex is at (-7, 2). Where is the focus located?

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Since, p = -1, the e...

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Find the area of the region that is common to Find the area of the region that is common to and . and Find the area of the region that is common to and . .

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Find the equation of the tangent to the curve Find the equation of the tangent to the curve and at . and Find the equation of the tangent to the curve and at . at Find the equation of the tangent to the curve and at . .

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Find the polar equation for the conic that has its focus at the pole and its directrix is Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E) units to the left of the pole and its eccentricity is Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E) .


A) Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E)
B) Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E)
C) Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E)
D) Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E)
E) Find the polar equation for the conic that has its focus at the pole and its directrix is units to the left of the pole and its eccentricity is . A) B) C) D) E)

F) None of the above
G) A) and B)

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


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

F) B) and E)
G) A) and B)

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Express the given curve in polar coordinates. Express the given curve in polar coordinates.

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State the name that describes the polar curve most precisely. State the name that describes the polar curve most precisely. A) cardioid B) lemniscate C) line D) circle E) spiral


A) cardioid
B) lemniscate
C) line
D) circle
E) spiral

F) B) and D)
G) A) and D)

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If If the tangent to the curve at the origin is A) a horizontal line B) a vertical line C) the line D) the line E) the line the tangent to the curve at the origin is


A) a horizontal line
B) a vertical line
C) the line If the tangent to the curve at the origin is A) a horizontal line B) a vertical line C) the line D) the line E) the line
D) the line If the tangent to the curve at the origin is A) a horizontal line B) a vertical line C) the line D) the line E) the line
E) the line If the tangent to the curve at the origin is A) a horizontal line B) a vertical line C) the line D) the line E) the line

F) A) and B)
G) B) and D)

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State the definition of a parabola. Use your definition to derive the equation of the parabola whose focus is at F(3, 9) and directrix x = 1.

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Let P be a point on ...

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Find the ends of the minor axis of the ellipse Find the ends of the minor axis of the ellipse in the x'y'-coordinate system. in the x'y'-coordinate system.

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Find the arclength of the curve Find the arclength of the curve from to A) B) C) 3 D) E) 4 from Find the arclength of the curve from to A) B) C) 3 D) E) 4 to Find the arclength of the curve from to A) B) C) 3 D) E) 4


A) Find the arclength of the curve from to A) B) C) 3 D) E) 4
B) Find the arclength of the curve from to A) B) C) 3 D) E) 4
C) 3
D) Find the arclength of the curve from to A) B) C) 3 D) E) 4
E) 4

F) B) and E)
G) A) and B)

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Find the arclength of the curve Find the arclength of the curve from to . from Find the arclength of the curve from to . to Find the arclength of the curve from to . .

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Find the equation for the given graph when A = 3. Find the equation for the given graph when A = 3.

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Find the rectangular coordinates of the point whose polar coordinates are given. Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)


A) Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)
B) Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)
C) Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)
D) Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)
E) Find the rectangular coordinates of the point whose polar coordinates are given. A) B) C) D) E)

F) A) and E)
G) A) and C)

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Sketch and identify the curve Sketch and identify the curve for by eliminating the parameter t and label the direction of increasing t. Sketch and identify the curve for by eliminating the parameter t and label the direction of increasing t. for Sketch and identify the curve for by eliminating the parameter t and label the direction of increasing t. by eliminating the parameter t and label the direction of increasing t.

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cos t = x ...

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