1) Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt; theta = kt;

Question

1)  Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt; theta = kt;
where b; k are positive constants and t is time.Find the velocity and acceleration vectors of the insect. Show that the angle between the velocity and acceleration vectors is equal to 
pi/4 for all times t.

1) Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt;� theta = kt;