1. The problem statement, all variables and given/known data A two dimensional force field f is give by the equation f(x,y)=cxyi+x^6 y^2j, where c is a positive constant. This force acts on a particle which must move from (0,0) to the line x=1 along a curve of the form y=ax^b where a>0 and b>0 2. Relevant equations Find a value of a(in terms of c) such that the work done by this force is independent of b 3. The attempt at a solution I pluck the information x=1 into y=ax^b which gives y=a,so i believe the curve move from (0,0) to (1,a) then i parametrize the curve as r(t)=ti+at^bj which give r'(t)=i+abt^(b-1)j With plucking x=t, y=at^b into f(x,y) with the upper and lower limit in the integral, the solution i got is ac/(b+2)+a^(3)b/(b+18) However, the solution from the book is a=(3c/2)^(1/2) May i know which of my steps are correct and wrong, and teach me the right way of doing this question?