Show that F dr is independent of its path, given that F(r. y. :) = ( i+ tanrj+, + tan k. 1+:2 %3D Hence, find the potential function of F and then evaluate the work done by F moving an object along the smooth curve C, the line segment from (1,0,-1) to (0.0.0) then along the parabola 3 = y,r = 0 to (0.-1. 1). %3D %3D |

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Q: a) Find a scalar function f such that F= Vf where F(x,y) = (3 + 2xy²) i +(2x²y)j.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.