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Question 6 Worth 8 points Find the velocity, acceleration, a…

Question 6 Worth 8 points Find the velocity, acceleration, and speed of an object with position function   .  

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Question 4 Worth 8 points Find the equation of the normal li…

Question 4 Worth 8 points Find the equation of the normal line to the surface     at the point .  

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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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Question 10 Worth 8 points Find the length of the curve wher…

Question 10 Worth 8 points Find the length of the curve where  , and  

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Question 5 Worth 8 points Find the distance between the plan…

Question 5 Worth 8 points Find the distance between the planes 

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Question 3 Worth 8 points Find using the chain rule, given…

Question 3 Worth 8 points Find using the chain rule, given that: .

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Question 4 Worth 8 points Find the equation of the normal li…

Question 4 Worth 8 points Find the equation of the normal line to the surface     at the point .  

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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 6 Worth 8 points Evaluate the line integral 

Question 6 Worth 8 points Evaluate the line integral 

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Question 1 Worth 10 points Given vectors , 

Question 1 Worth 10 points Given vectors , 

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