a. How are the constants a, b, and c related if the following differential form is exact? (ay? + 2czx) dx + y(bx + cz) dy+ (ay" + cx?) dz b. For what values of b and c will F = (y+ 2czx) i+ y(bx + cz)j + (y~ + ex ) k be a gradient field? a. How are the constants a, b, and c related? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. b= 2a and c= 2a (Type an expression using a as the variable.) O B. The constants are not related. b. For what values of b and c will F be a gradient field? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. b= 2 and c = 2 O B. F will not be a gradient field