find equation for electric field

Question

The electric potential in a certain region is given by the equation V(x,y,z) = 3αx2y3 - 2γx2y4z2 where the potential is in volts when the positions are given in meters. The constants in this equation are α = 3.6 V/m5 and γ = 1.34 V/m8

Write an equation for the x-component of the electric field.

Write an equation for the y-component of the electric field.

Write an equation for the z-component of the electric field.

Calculate the magnitude of the electric field at the point (x1,y1,z1) = (-5.0, 2.0, 1.5) m in units of newtons per coulomb.

Answer 1

Hi Jule,

I don't understand the typed equation V(x,y,z) = 3αx2y3 - 2γx2y4z2

What does x2y3 means? is x*2*y*3? or is it x raised to the power 2 times y raised to the power 3?

Same question for the second term. Is it x raised to the power 2 times y raised to the power 4 times z raised to the power 2?

Davide