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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 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) A) and B)
G) All of the above

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

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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 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 D)
G) C) and 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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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) A) and E)

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

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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) C) and E)
G) None 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) D) and E)
G) B) and E)

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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 D)
G) A) and B)

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

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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) None of the above
G) C) and D)

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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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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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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) A) and E)
G) D) and E)

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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) B) and C)
G) None of the above

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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 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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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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