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Unformatted text preview: (b) Write down a piecewise parametrization of the curve shown below with clockwise orientation. [10 pts] The curved part is the parabola y = 4x 2 . Please put problem 4 on answer sheet 4 4. (a) Give the parametric equations of the line through (1 , 2 , 3) and perpendicular to both vectors [10 pts] 2 + 2 + 0 k and 3 1 + 2 k . (b) Find the point at which the line r ( t ) = (2 t + 2) + (5t ) + ( t + 10) k passes through the [10 pts] plane 2 x + yz = 1. Please put problem 5 on answer sheet 5 5. (a) Sketch the plane 2 x + y + 3 z = 12. Mark at least three points with their coordinates. [10 pts] (b) Set up (do not evaluate) the integral for the length of r ( t ) = t 2 + t 3 1 k for 0 t 1. [10 pts]...
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 Spring '08
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 Math

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