1. a^n+mbⁿc^m    n,m>=1

it is  not regular language but DCFL as well as CFL

2. a^mb^n+mcⁿ  n,m>=1

it is  not regular language but DCFL as well as CFL

3. a^mbⁿc^n+m  n,m>=1

it is  not regular language but DCFL as well as CFL

4. a^mb^mcⁿdⁿ  n,m>=1

it is  not regular language but DCFL as well as CFL

5. a^mbⁿc^mdⁿ  n,m>=1

it is  not regular language  as well as  not CFL because  by the time you reaches c's  there will b'son the top of the stacks ,you can't match a's

            there fore if a language is not CFL then that willl not beDCFL or regular.

6.  a^mbⁿcⁿd^m  n,m>=1

it is  not regular language but DCFL as well as CFL

7. a^mbⁱc^md^k  i,j,m>=1

it is  not regular language but DCFL as well as CFL

8.  8.  a^mbⁿ   / m>n

it is  not regular language but DCFL as well as CFL

here push a's and when we see b's pop a's and then at least there should be one a should remain and go to final state.

8.  aⁿb²ⁿ   / n>=1

here for every "a" push two a's and when see any b's pop a's.

  it is  not regular language but DCFL as well as CFL

9. aⁿb^{n^2}  / n>=1

it is  not regular language 

i can't put b^{n^2}  in loop and i can't popup for one loop ,one a's

                therefore it is not possible to give any PDA either deterministic or Non deterministic.

∴ not CFL

10. ww^r  /w∈(a,b)*

not regular not DCFL but CFL(NDCFL)

11. aⁿbⁿc^m  /n>m

not regular

for such language PDA is not possible because when you pop all a's using b's then at that time only c's will be remain and there will nothing to compair  with c's i.e(m).

12. aⁿbⁿcⁿdⁿ  /n<=10¹⁰

since language  is bounded (i.e finit ) and every  finite language is regular therefore DCFL that means CFL.

13. XcY  / X,Y(0,1)*

it is nothing but set of all string containing c as a sub string

so it is regular 

therefore DCFL that means CFL.

14. aⁱb^jc^kd^l      /i=k or j=l

CFL as well as DCFL

15. w /w∈{a.b} ,n_a(w)=n_b(w)+1

DCFL as well as CFL