Deck 9: Extension B: Vectors and the Geometry of Space

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Question
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.   <div style=padding-top: 35px>
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Question
Find the length of the curve. <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px> , <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px> , <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>

A) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
B) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
C) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
D) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
E) None of these
Question
Find the point(s)on the curve where the tangent is horizontal.
<strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>

A) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
B) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
C) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
D) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
E) None of these
Question
Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.
Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.   <div style=padding-top: 35px>
Question
Set up,but do not evaluate,an integral that represents the length of the parametric curve.
Set up,but do not evaluate,an integral that represents the length of the parametric curve.   <div style=padding-top: 35px>
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Deck 9: Extension B: Vectors and the Geometry of Space
1
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
2
Find the length of the curve. <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these , <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these , <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these

A) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these
B) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these
C) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these
D) <strong>Find the length of the curve.   ,   ,  </strong> A)   B)   C)   D)   E) None of these
E) None of these
3
Find the point(s)on the curve where the tangent is horizontal.
<strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these

A) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these
B) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these
C) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these
D) <strong>Find the point(s)on the curve where the tangent is horizontal.  </strong> A)   B)   C)   D)   E) None of these
E) None of these
4
Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.
Set up an integral that represents the length of the curve.Then use your calculator to find the length correct to four decimal places.
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5
Set up,but do not evaluate,an integral that represents the length of the parametric curve.
Set up,but do not evaluate,an integral that represents the length of the parametric curve.
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Unlock for access to all 5 flashcards in this deck.
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