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Question 4 Worth 8 points Find the exact mass of a thin wire…

Question 4 Worth 8 points Find the exact mass of a thin wire in the shape of a helix  , where

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Question 2 Worth 8 points Find the equation of the plane tha…

Question 2 Worth 8 points Find the equation of the plane that passes through the points  and

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Question 1 Worth 10 points a.    Change the point

Question 1 Worth 10 points a.    Change the point

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Question 2 Worth 8 points Convert this integral from rectang…

Question 2 Worth 8 points Convert this integral from rectangular coordinates to spherical coordinates (Do not evaluate the integral)

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Question 3 Worth 8 points Find the area of the parallelogram…

Question 3 Worth 8 points Find the area of the parallelogram with the vertices .

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Question 2 Worth 8 points Find the equation of the plane tha…

Question 2 Worth 8 points Find the equation of the plane that passes through the points  and

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Question 5 Worth 8 points Given Find

Question 5 Worth 8 points Given Find

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Question 1 Worth 10 points Given vectors  and

Question 1 Worth 10 points Given vectors  and

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Question 10 Worth 8 points Use polar coordinates to find the…

Question 10 Worth 8 points Use polar coordinates to find the volume of the solid inside the sphere   and outside the cylinder  .

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Question 12 Worth 10 points a.    Sketch the plane curve an…

Question 12 Worth 10 points a.    Sketch the plane curve and the vectors and when  .    (Do NOT attempt to find  and  when making this sketch, and note that this a 2-dimensional sketch).   b.    Find the unit tangent vector when for the curve defined by .

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