MATH 222 Final: MATH 222 KSU Final Exam s01

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

Document Summary

To receive credit you must show your work. (20) 1. An object is moving in 3-space and its acceleration vector as a function of time is ~a = (cos t)~j (sin t) ~k. An object is moving around the circle x2 + y2 = 4. It starts at time t = 0 and its speed as a function of time t is ds dt. = t2: find the tangential component of acceleration as a function of time, find the normal component of acceleration as a function of time. The force eld ~f = 2y~i + xy ~j acts on an object as it moves in the plane. Let f (x, y) = y3 + x2y + xy. Suppose z = f (x, y) and we know that at (x, y) = (2, 1) we have. If (r, ) denote the usual polar coordinates in the xy-plane use the chain rule to calculate (x, y) = (2, 1).