I am stumped on these last parts of my hw due...

dy/dx=x^2y, f(0)=1....find f(.2)

f(0)=7, f'(0)=-4,f''(0)=1,f'''(0)=6

Find the 3rd degree Taylor polynomial and use that to approximate f(1.3)

g(x)=f(x^2)...what's the 4th degree taylor

h(x)= the integral from 0 to x of f(t)dt...find the 4th degree taylor

Can anyone help me on any of these?