In a certain region of space, the electric potential ("voltage") at each point (x, y, z) is given by the following function: V(x, y, z) = (10 V/m^2) * y^2 - (12 V/m^2) * xz
a. Find the electric field's components (Ex, Ey, and Ez) throughout the region.
b. Find the voltage at the point P = (2m, 3m, 4m).
c. Find the components of the electric field at the point P described above.
d. Find the magnitude of the electric field at point P.