The work done in moving an object in the vector field F = (2xy + z^3)i + x^2j + 3xz^2k from the point (1, -2, 1) to (3, 1, 4) can be calculated using the scalar potential function p = x^2y + xz^3. By evaluating p at the endpoints, the calculation yields a result of 202. The method of using the scalar potential is confirmed as correct, although it is recommended to include equations for clarity in the final write-up.
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KStolen said:Homework Statement
Find the work done in moving an object in the field
F = (2xy+z^3)i + x^2j + 3xz^2k
from (1,-2,1) to (3,1,4)
Homework Equations
I have found p, the scalar potential to be x^2y+xz^3 , but don't know how to proceed from here. Do I just plug in the values so that I get ((9)(1)+(3)(64)) - ((1)(-2)+(1)(1)) = 202?
The Attempt at a Solution