Given $D=\{10,20,30,40,50,100\}$ and $P(x,y,z)=x**2+y+z400$

For each problem below, do the following;

i$.$ Determine if the statement is true, justifying your answer.

ii$.$ Write the negation of the statement in symbolic notation, simplifying when possible.

iii. Write the English equivalent of the negation.

iv$.$ Determine if the negation is true, justifying your answer.

a$)$ EEx,$y,zP(x,y,z)$

b$)$ AAx,$y,zP(x,y,z)$

c$)$ EEx,$y,$AAzP$(x,y,z)$

d$)$ AAz,EEx,$yP(x,y,z)$