Solution of nal examination

                            Math 230, Spring 2013

                               December 9, 2013

Problem 1

Let v(t) (2t et ) i j cos(t) k be the velocity of a particle with initial

position r(0) (1, 0, 2). Find the accelaration at the point (e 1, 1, 2).

Solution

We have

                t                                         t

r(t) r(0) v(s) ds r(t) (e 1, 1, 2) (2s es ) i j cos(s) k ds

            0                                            0

                                       (e  1, 1, 2)  (t  1  et ) i  t j  sin(t) k

                                                         2

                  ...