Calc III Exam 1

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Author:
stpierrewm
ID:
308200
Filename:
Calc III Exam 1
Updated:
2015-09-20 14:57:27
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Calc III Exam
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Calc III Exam 1
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Calc III Exam 1
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  1. Parametric equation of a line


    <point on line>+t<vector parallel to line>
  2. If and  are the two sides of a parallelogram, what is the area of the parallelogram?
  3. Equation of a plane (scalar equation and vector equation)
    • Vector Equation:
    • <x0,y0,z0> is a point on the plane, n is the normal vector to the plane

    • Scalar Equation: 
    • <a,b,c> is the normal vector to the plane
  4. arc length formula
    • Continuous on [a,t]
    • Traverses curve once on interval
  5.  (derivative of arc length)
  6. Unit Tangent Vector T(t)
  7. κ=curvature=
  8. B=Unit Binormal Vector=
    TxN
  9. N=unit normal vector=
    •  
    • or
  10. Components of acceleration 
    a=
  11.  or κ

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