MATH 222 Final: MATH 222 KSU Final Exam s02

• 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 equa- tions x = t, y = t2, z = 2t. Recitation time: (15) 2) an object is moving in 3-space in such a way that its acceleration vector as a function of the time is ~a = e t~i + ~k. Suppose that at time t = 0 you know that the velocity vector is ~v(0) = ~j and the position vector ~r(0) = ~i +~k. Find the velocity vector and the position vector as functions of t and then give the parametric equations of the motion. Recitation time: (15) 3) a quantity q depends upon x and y according to q = xpy2 + 4x. Suppose x and y are changing with time t and at a certain instant you know that x = 2, y = 1, dx dt = 2.