1. The problem statement, all variables and given/known A crazed ostrich names rhomboid runs along a mountain path with coordinates given by r(t) = < e^t, e^-t, sqrt(2) t> B) what is the change in rhomboids altitude from t=0 to t= 10 C) what is rhomboids speed in x direction when t=4 D) what is rhomboids speed in y direction when t=4 E) find a formula for the total distance traveled by rhomboid from t= 0 to t=4 2. Relevant equations • integration •derivatives 3. The attempt at a solution For part b) the first thing I thought to do was to integrate only the z component ( since it's height) and evaluate the integral from 0 to 10? Which I get 50*sqrt(2) C) for speed in x direction do I take the magnitude of the derivative of e^t then plug t=4? x'(t) = e^t ||x'(t)|| = e^t Plug in t=4 I get 54.6 D) I do the same as C) only this time I use the y component ?