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Unformatted text preview: paraboloid x 2 + 2y 2 z =0 in terms of both cylindrical and spherical coordinates. 7. (10 pts.) A particles velocity is given by v (t) = cos( t ) i t k . At time t = 0, the particles passes through the point (1, 1, 2). Find an equation for the particles position r (t). 8. (16 pts.) Given r (t) = cos(2 t ) i + t j sin(2 t ) k find the following: (a) unit tangent vector T (b) unit normal vector N (d) curvature at the point (-1, p/2, 0) 9. (16 pts.) A particle follows a path determined by the vector function r (t) = cos( t ) i + e t j 4 t k find: (a) particle velocity (b) particle speed (c) tangential and normal components of the acceleration at time t = 0. (d) write an integral expression for the length of the path traversed by the particle between the points (1, 1, 0) and (0, e p/2 , -2p). It is not necessary to evaluate the integral....
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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