Deck 13: Extension C: Vector Calculus

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Find a function f such that Find a function f such that   ,and use it to evaluate   along the given curve C.    <div style=padding-top: 35px> ,and use it to evaluate Find a function f such that   ,and use it to evaluate   along the given curve C.    <div style=padding-top: 35px> along the given curve C. Find a function f such that   ,and use it to evaluate   along the given curve C.    <div style=padding-top: 35px> Find a function f such that   ,and use it to evaluate   along the given curve C.    <div style=padding-top: 35px>
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Let <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px> where <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px> Which of the following equations does the line segment from <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px> to <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px> satisy?

A) <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px>
B) <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these <div style=padding-top: 35px>
C) none of these
Question
Determine whether F is conservative.If so,find a function f such that <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <div style=padding-top: 35px> <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <div style=padding-top: 35px>

A) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <div style=padding-top: 35px>
B) not conservative
C) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <div style=padding-top: 35px>
D) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <div style=padding-top: 35px>
Question
Suppose that F is an inverse square force field,that is, Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> where Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> Find the work done by F in moving an object from a point Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> along a path to a point Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> in terms of the distances Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> and Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. <div style=padding-top: 35px> from these points to the origin.
Question
Determine whether or not F is a conservative vector field.If it is,find a function f such that Determine whether or not F is a conservative vector field.If it is,find a function f such that    <div style=padding-top: 35px> Determine whether or not F is a conservative vector field.If it is,find a function f such that    <div style=padding-top: 35px>
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Deck 13: Extension C: Vector Calculus
1
Find a function f such that Find a function f such that   ,and use it to evaluate   along the given curve C.    ,and use it to evaluate Find a function f such that   ,and use it to evaluate   along the given curve C.    along the given curve C. Find a function f such that   ,and use it to evaluate   along the given curve C.    Find a function f such that   ,and use it to evaluate   along the given curve C.
2
Let <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these where <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these Which of the following equations does the line segment from <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these to <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these satisy?

A) <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these
B) <strong>Let   where   Which of the following equations does the line segment from   to   satisy?</strong> A)   B)   C) none of these
C) none of these
3
Determine whether F is conservative.If so,find a function f such that <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)   <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)

A) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)
B) not conservative
C) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)
D) <strong>Determine whether F is conservative.If so,find a function f such that    </strong> A)   B) not conservative C)   D)
not conservative
4
Suppose that F is an inverse square force field,that is, Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. where Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. Find the work done by F in moving an object from a point Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. along a path to a point Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. in terms of the distances Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. and Suppose that F is an inverse square force field,that is,   where   Find the work done by F in moving an object from a point   along a path to a point   in terms of the distances   and   from these points to the origin. from these points to the origin.
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5
Determine whether or not F is a conservative vector field.If it is,find a function f such that Determine whether or not F is a conservative vector field.If it is,find a function f such that    Determine whether or not F is a conservative vector field.If it is,find a function f such that
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