The electric potential in a certain region varies with position as V(x) = ax² - bx + c, where a = 2. 2 V/m², b = 16. 5 V/m, and c = 14 V.
A) Find the electric field vector E.
B) What is the magnitude of the electric field, in volts per meter, at x = 1. 0 m?
C) What is the direction of the electric field at x- 1. 0 m?
D) What is the magnitude of the electric field, in volts per meter, at x 5. 0 m?