An application of vector fields is when the vectors represent force. Let F(x,y,z) be a force field. We say that the work done by the force field F(x,y,z) over the curve C is given by the equationWork =CF(r)drwhere r(t) is some parameterization of C. Let F(x,y,z) be given by the function F(x,y,z)=(xy2)i+(yz2)j+(zx2)k. Suppose that a particle moves through the force field F(x,y,z) along the line segment running from the point (1,1,1) to the point (1,2,1). Using the parameterization r(t)=(1t)(1,1,1)+t(1,2,1), at what time t will the force field F(x,y,z) have done 0.75 units of work on the particle. Round your answer to 3 decimal places.(Hint: You may want to use the FindRoot command in Mathematica in order to solve this problem)t=