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Sketch the curve in polar coordinates. Sketch the curve in polar coordinates.

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Put the rectangular equation y = 3x2 + 1 into parametric form.

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x = t, y =...

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Find the asymptotes of Find the asymptotes of . .

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Find the slope of the tangent to the curve Find the slope of the tangent to the curve at the point corresponding to . at the point corresponding to Find the slope of the tangent to the curve at the point corresponding to . .

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Find the area bounded by Find the area bounded by . A) B) C) D) 4 E) 12.56 .


A) Find the area bounded by . A) B) C) D) 4 E) 12.56
B) Find the area bounded by . A) B) C) D) 4 E) 12.56
C) Find the area bounded by . A) B) C) D) 4 E) 12.56
D) 4 Find the area bounded by . A) B) C) D) 4 E) 12.56
E) 12.56 Find the area bounded by . A) B) C) D) 4 E) 12.56

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

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C

Find the area bounded by Find the area bounded by . .

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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) line C) spiral D) lemniscate E) rose


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

F) C) and D)
G) B) and E)

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Find the approximate arc length of x = 3t2 , y = 4t3 + 2 , over the interval Find the approximate arc length of x = 3t<sup>2</sup> , y = 4t<sup>3</sup> + 2 , over the interval . .

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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 below the pole and its eccentricity is . A) B) C) D) E) units below 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 below 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 below 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 below 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 below 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 below 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 below the pole and its eccentricity is . A) B) C) D) E)

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

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Identify the type of conic section by transforming to rectangular coordinates. Identify the type of conic section by transforming to rectangular coordinates.

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

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What are the polar coordinates of a point whose rectangular coordinates are given as What are the polar coordinates of a point whose rectangular coordinates are given as ?Note: n is an integer. A) B) C) D) E) (0, 1) ?Note: n is an integer.


A) What are the polar coordinates of a point whose rectangular coordinates are given as ?Note: n is an integer. A) B) C) D) E) (0, 1)
B) What are the polar coordinates of a point whose rectangular coordinates are given as ?Note: n is an integer. A) B) C) D) E) (0, 1)
C) What are the polar coordinates of a point whose rectangular coordinates are given as ?Note: n is an integer. A) B) C) D) E) (0, 1)
D) What are the polar coordinates of a point whose rectangular coordinates are given as ?Note: n is an integer. A) B) C) D) E) (0, 1)
E) (0, 1)

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

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

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Rotate the coordinates to remove the xy-term. Then, name the conic. Rotate the coordinates to remove the xy-term. Then, name the conic. A) circle B) hyperbola C) ellipse D) parabola


A) circle
B) hyperbola
C) ellipse
D) parabola

E) All of the above
F) C) and D)

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The area in one petal of The area in one petal of is given by A) B) C) D) E) is given by


A) The area in one petal of is given by A) B) C) D) E)
B) The area in one petal of is given by A) B) C) D) E)
C) The area in one petal of is given by A) B) C) D) E)
D) The area in one petal of is given by A) B) C) D) E)
E) The area in one petal of is given by A) B) C) D) E)

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

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Find the arclength of the curve Find the arclength of the curve . Give a numeric answer to three decimal places. . Give a numeric answer to three decimal places.

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Find the vertex of the parabola Find the vertex of the parabola in the x'y'-coordinate system. in the x'y'-coordinate system.

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Convert the following equation to polar coordinates. Convert the following equation to polar coordinates.

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Find the equation of the curve described. The ellipse with a major axis length of Find the equation of the curve described. The ellipse with a major axis length of , a minor axis of , center at , and foci on . , a minor axis of Find the equation of the curve described. The ellipse with a major axis length of , a minor axis of , center at , and foci on . , center at Find the equation of the curve described. The ellipse with a major axis length of , a minor axis of , center at , and foci on . , and foci on Find the equation of the curve described. The ellipse with a major axis length of , a minor axis of , center at , and foci on . .

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Find the equation of the hyperbola with foci Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E) and vertices Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E) units apart.


A) Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E)
B) Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E)
C) Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E)
D) Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E)
E) Find the equation of the hyperbola with foci and vertices units apart. A) B) C) D) E)

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

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