1. The problem statement, all variables and given/known data Consider the following position function. r(t)= et(cos(t)i+sin(t)j+7tk) Find the speed of a particle with the given position function. 2. Relevant equations I know I take the derivative of the function but I cant seem to get speed. I got v=e^t(cos(t)i+sin(t)j+7(t)k)+ e^t(-sin(t)i+cos(t)j+7k) 3. The attempt at a solution I just cant find the speed, i think i may be just slightly off. I currently have speed is 7e^t(t+1) which is wrong.