Calculate the work done by the force F along the path C.
F= xe^(4x^2) i + e^(6y) j + e^(5z) k; the path is c1 to c2 where c1 is the straight line from (0,0,0) to (1,1,0) and c2 is the straight line from (1,1,0) to (1,1,1).
I just need someone to explain what exactly is it asking for because I'm just lost to what to with the two lines.
OK, i think I'm integrating the i component wrong, isn't it the derivative of the exponent goes on the bottom, then the integration of the base? I'm getting (xe^(4x^2))/16 but my calculator is giving me (e^(4x^2))/8. Can somebody tell me where i went wrong with my integration? Oh and how to input equations so i won't have to type it out like i am now?
I can't seem to understand how to set up the limits, I have the potential function for the three components but find the integration limit I'm having trouble. And if find the potential function is the wrong way to do it then can i get corrected because i don't understand the method up top.
Not all vector fields have a potential function. only those which are conservative. What do you think the potential is (assuming there is a potential).
Post #2 tells you what to do. At this stage, I think your best plan is to go back and review this material in your class notes and textbook.