MATH 222 Final: MATH 222 KSU Final Exam s99

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

Document Summary

To receive credit you must show your work. (15) 1. An object is moving in 3-space in such a way that its acceleration vector as a function of time is ~a = (cos t)~i (sin t)~k . Suppose you know that at time t = 0 , the velocity vector is ~v(0) = ~i + ~j + ~k and the position vector is. Find the velocity vector and the position vector as functions of t , and then give the parametric equations of the motion. A particle is moving in the plane along the curve y = (x + 1)2 in the direction of increasing x . The force eld ~f = y~i + 2x~j acts on an object as it moves in the xy - plane. Find and classify the critical points of f (x, y) = y2 x3y + 3xy .