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Unformatted text preview: 4-3 = z-5. Determine whether the lines are parallel, intersecting, or skew. 2. Find the equation of the plane through the point (-1 , 4 , 2) and containing the line of intersection of the planes 4 x-y + z = 2 and 2 x + y-2 z = 3. 3. Describe the traces of the surface x 2 + 4 y 2-16 z 2 = 1 in the coordinate planes and sketch the surface. 4. Find a vector function representing the curve of intersection of the paraboloid z = 4 x 2 + y 2 and the parabolic cylinder y = x 2 . 5. Find parametric equations for the tangent line to the curve ~ r ( t ) = (ln t ) ~ i + (2 t ) ~ j + t 2 ~ k at the point corresponding to t = 1. 1...
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This note was uploaded on 10/14/2009 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.
- Spring '07