# Section 9.2 Plane Curves and Parametric Equations

Education

17

All Questions

17

Multiple Choice

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Q 1

Write the corresponding rectangular equation for the curve represented by the parametric equation by eliminating the parameter.
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Sketch the curve represented by the parametric equations .
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 3

Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.
A)
B)
C)
D)
E)

Free

Multiple Choice

C

Q 4

Sketch the curve represented by the parametric equations .
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Write the corresponding rectangular equation for the curve represented by the parametric equations by eliminating the parameter.
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Sketch the curve represented by the parametric equations,and write the corresponding rectangular equation by eliminating the parameter.
A)
B)
C)
D)
E)none of the above

Multiple Choice

Q 7

Sketch the curve represented by the parametric equations,and write the corresponding rectangular equation by eliminating the parameter.
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Use the result,"the set of parametric equations for the line passing through and is " to find a set of parametric equations for the line passing through and .
A)
B)
C)
D)
E)

Multiple Choice

Q 9

Use the result,"the set of parametric equations for the circle is " to find a set of parametric equations for the circle with a center and radius 5.
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B)
C)
D)
E)

Multiple Choice

Q 10

Use the result,"the set of parametric equations for the ellipse is " to find a set of parametric equations for the ellipse with vertices and and with foci at and .
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Find a set of parametric equations for the rectangular equation .
A)
B)
C)
D)
E)

Multiple Choice

Q 12

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point .
A)
B)
C)
D)
E)

Multiple Choice

Q 13

Find a set of parametric equations for the rectangular equation that satisfies the condition at the point .
A)
B)
C)
D)
E)

Multiple Choice

Q 14

Identify any points at which the cycloid is not smooth.
A)not smooth when
B)smooth everywhere
C)not smooth when
D)not smooth when
E)not smooth when

Multiple Choice

Q 15

Identify any points at which the Folium of Descartes is not smooth.Round your answer to two decimal places,if necessary.
A)not smooth when
B)not smooth when
C)not smooth when
D)smooth everywhere
E)not smooth when

Multiple Choice

Q 16

The parametric equations for the path of a projectile launched at a height h feet above the ground,at an angle θ with the horizontal and having an initial velocity of v

_{0 }feet per second is given by and .The center field fence in a ballpark is 10 feet high and 400 feet from home plate.The ball is hit feet above the ground.It leaves the bat at an angle of θ degrees with the horizontal at a speed of 100 miles per hour as shown in the figure.Write a set of parametric equations for the path of the ball. A) B) C) D) E) Multiple Choice

Q 17

The parametric equations for the path of a projectile launched at a height h feet above the ground,at an angle θ with the horizontal and having an initial velocity of v

_{0 }feet per second is given by and .The center field fence in a ballpark is 10 feet high and 400 feet from home plate.The ball is hit feet above the ground.It leaves the bat at an angle of θ degrees with the horizontal at a speed of 100 miles per hour as shown in the figure.Find the minimum angle at which the ball must leave the bat in order for the hit to be a home run using the parametric equations and .Round your answer to one decimal place. A)25.5° B)19.5° C)3.4° D)4.5° E)11.3° Multiple Choice