Deck 10: Section 5: Conics, Parametric Equations, and Polar Coordinates

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Question
Find the length of the curve <strong>Find the length of the curve   over the interval   . Round your answer to two decimal places.</strong> A) 0.58 B) 3.46 C) 2.00 D) 1.15 E) 1.73 <div style=padding-top: 35px> over the interval <strong>Find the length of the curve   over the interval   . Round your answer to two decimal places.</strong> A) 0.58 B) 3.46 C) 2.00 D) 1.15 E) 1.73 <div style=padding-top: 35px> . Round your answer to two decimal places.

A) 0.58
B) 3.46
C) 2.00
D) 1.15
E) 1.73
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Question
Write an integral that represents the area of the shaded region for <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as shown in the figure. Do not evaluate the integral. <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the interior of <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of one petal of <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the surface formed by revolving about the polar axis the following curve over the given interval. <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the points of intersection of the graphs of the equations. <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the region lying between the loops of <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the points of intersection of the graphs of the equations <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the length of the curve <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> over the interval <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find all points of intersection of the graphs of the equations. <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the interior of <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the inner loop of <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of inside <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and outside <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by sketching the graph of the equations using the graphing utility.

A) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the common interior of the polar equations <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> by sketching the graph of the equations using the graphing utility.

A) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Find the area of the surface formed by revolving about the <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> axis the following curve over the given interval. <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 10: Section 5: Conics, Parametric Equations, and Polar Coordinates
1
Find the length of the curve <strong>Find the length of the curve   over the interval   . Round your answer to two decimal places.</strong> A) 0.58 B) 3.46 C) 2.00 D) 1.15 E) 1.73 over the interval <strong>Find the length of the curve   over the interval   . Round your answer to two decimal places.</strong> A) 0.58 B) 3.46 C) 2.00 D) 1.15 E) 1.73 . Round your answer to two decimal places.

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 <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)   as shown in the figure. Do not evaluate the integral. <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Write an integral that represents the area of the shaded region for   as shown in the figure. Do not evaluate the integral.  </strong> A)   B)   C)   D)   E)
3
Find the area of the interior of <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
4
Find the area of one petal of <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of one petal of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of one petal of   .</strong> 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. <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the surface formed by revolving about the polar axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
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6
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
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7
Find the points of intersection of the graphs of the equations. <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
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8
Find the area of the region lying between the loops of <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the region lying between the loops of   .</strong> A)   B)   C)   D)   E)
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9
Find the points of intersection of the graphs of the equations <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the points of intersection of the graphs of the equations   .</strong> A)   B)   C)   D)   E)
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10
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
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11
Find the length of the curve <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   over the interval <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the length of the curve   over the interval   .</strong> A)   B)   C)   D)   E)
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12
Find all points of intersection of the graphs of the equations. <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)

A) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
B) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
C) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
D) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
E) <strong>Find all points of intersection of the graphs of the equations.  </strong> A)   B)   C)   D)   E)
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13
Find the length of the curve over the given interval. <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the length of the curve over the given interval.  </strong> A)   B)   C)   D)   E)
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14
Find the area of the interior of <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the interior of   .</strong> A)   B)   C)   D)   E)
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15
Find the area of the inner loop of <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the inner loop of   .</strong> A)   B)   C)   D)   E)
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16
Find the area of inside <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   and outside <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   by sketching the graph of the equations using the graphing utility.

A) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of inside   and outside   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
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17
Find the area of the common interior of the polar equations <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)   by sketching the graph of the equations using the graphing utility.

A) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the common interior of the polar equations   by sketching the graph of the equations using the graphing utility.</strong> A)   B)   C)   D)   E)
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18
Find the area of the surface formed by revolving about the <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)   axis the following curve over the given interval. <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the area of the surface formed by revolving about the   axis the following curve over the given interval.  </strong> A)   B)   C)   D)   E)
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Unlock for access to all 18 flashcards in this deck.