diff --git a/07/ZADANIA07.txt b/07/ZADANIA07.txt new file mode 100644 index 0000000..bf2d288 --- /dev/null +++ b/07/ZADANIA07.txt @@ -0,0 +1,38 @@ +1) +x=var('x') +solve (x^6-9*x^5+10*x^4+18*x^3+49*x^2+135*x+84==0,x) +2) +x=var('x') +solve (x^3-5* x^2+8* x-40==0, x) +3) +x=var('x') +solve(cos(x)==x,x) +find_root(cos(x)==x,0,pi) +4) +integral(x*sin(x),x) +-x*cos(x) + sin(x) +5) +integral(e^(1/(x^2)),x,-2,4) + +6) +diff(sqrt(x^2*sin(x+2)),x) +7) +diff((x*e^(cos(x)))^(3),x) +8) +x,y=var('x,y') +f=x^2+sin(x*y)-y +f.diff(y) + +9) +A=matrix([[1,-4,7],[14,6,8],[-4,-1,2]]);A +B=matrix([[2,3,9],[-1,17,6],[0,5,-7]]);B +A*B +10) +A.determinant() +11) +B^(-1) +12) +x=var('x') +u=function('u')(x) +show(desolve(diff(u,x,2)-x*diff(u,x)+u==0,u,contrib_ode=True,show_method=True)) +