F=(2xy +z³)i + x³j + 3xz²k find a scalar potential and work done in moving an object in the field from (1,-2,1) to (3,1,4)​

Step-by-step explanation:

Given:

This field will have a scalar potential if it satisfies the condition . While the first x- and y- components of are satisfied, the z-component doesn't.

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector as

and its differential is

The work done then is given by

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: