MATH 222 Final: MATH 222 KSU Final Exam f99

• School: Kansas State University
• Department: Mathematics
• Course: MATH 222
• Professor: All

Document Summary

To receive credit you must show your work. (25) 1. An object is moving in 3-space according to the parametric equations x = 2 cos t , y = t , z = sin t . Find, as functions of the time t : position vector ~r , velocity vector ~v , acceleration vector ~a , speed ds dt, tangential component of acceleration at , curvature , normal component of acceleration an = An object is moving in the plane along the curve y = 1 x the direction of increasing x . , x > 0 in: find at and an when the object is at x, 1 x: find the velocity vector and the acceleration vector when the object is at the point (1, 1) . Let f (x, y) = y3 3y cos x . Find and classify all the critical points of f (x, y) which lie in the strip .