Let F(x,y,z)=(5xz²,6xyz,-5xy³z) be a vector field and f(x,y,z)=x³y²z. Find div F and curl(curl F):
a. div F=12xyz²-5xy³, curl(curl F)=(5xz²,6xyz,-5xy³z)
b. div F=12xyz²+5xy³, curl(curl F)=(-5xz²,-6xyz,5xy³z)
c. div F=12xyz²-5xy³, curl(curl F)=(-5xz²,-6xyz,5xy³z)
d. div F=12xyz²+5xy³, curl(curl F)=(5xz²,6xyz,-5xy³z)