Deck 10: Section 5: Conics, Parametric Equations, and Polar Coordinates
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Deck 10: Section 5: Conics, Parametric Equations, and Polar Coordinates
1
Find the length of the curve
over the interval
. Round your answer to two decimal places.
A) 0.58
B) 3.46
C) 2.00
D) 1.15
E) 1.73


A) 0.58
B) 3.46
C) 2.00
D) 1.15
E) 1.73
3.46
2
Write an integral that represents the area of the shaded region for
as shown in the figure. Do not evaluate the integral. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)


3
Find the area of the interior of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


4
Find the area of one petal of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Find the area of the surface formed by revolving about the polar axis the following curve over the given interval. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Find the length of the curve over the given interval. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find the points of intersection of the graphs of the equations. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Find the area of the region lying between the loops of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Find the points of intersection of the graphs of the equations
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Find the length of the curve over the given interval. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
Find the length of the curve
over the interval
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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12
Find all points of intersection of the graphs of the equations. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Find the length of the curve over the given interval. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Find the area of the interior of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Find the area of the inner loop of
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
Find the area of inside
and outside
by sketching the graph of the equations using the graphing utility.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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17
Find the area of the common interior of the polar equations
by sketching the graph of the equations using the graphing utility.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Find the area of the surface formed by revolving about the
axis the following curve over the given interval. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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