Unformatted text preview: 9 x 2 + 4 y 2 + z 2 = 36 III.Hyperbolic of one sheets. x 2-y 2 + z 2 = 0 IV. Hyperbolic Paraboloid. 7. Convert (1,1, √ 2 ) from the rectangular coordinates to the Spherical coordinates. 8. Given r ( t ) = cos( t ) i + sin( t ) j + e-t k , Find (a) lim t → r ( t ) = (b) r ( t ) × r ( t ) = (c) Z | r ( t ) | dt = 9. A particle moves with position function r ( t ) = 2 √ 2 ti + e 2 t j + e-2 t k . Find (a) The velocity of r ( t ) at (0,1,1) ; (b) The Acceleration of r ( t ) at (0,1,1); (c) The Speed of r ( t ) at (0,1,1); (d) The Curvature of r ( t ) at (0,1,1); (e) B ( t ) = at (0,1,1)...
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
- Winter '08