Sum k^2
Saturday, 15. November 2008, 03:46:29
> Sum('k^2', 'k'=0..k);
No. 1
> Sum('((-1)^(k+1))*1/k', 'k'=1..12);
> sum('((-1)^(k+1))*1/k', 'k'=1..12);
No. 2
> expand(((3*x-y+5*z)^2)*((x+3*y-z)^2));
No. 3
> factor(2*x^6+3*x^5-63*x^4-55*x^3+657*x^2+216*x-2160);
No. 4
> solve(7*x^4-59*x^3+19*x^2+166*x-1008);
> fsolve(7*x^4-59*x^3+19*x^2+166*x-1008);
No. 5
> y:=x^3-x^2-100*x+310;
> plot(y, x=-15..15);
No. 7
> restart;
> with(plots):
implicitplot({y=x^3-x^2-100*x+310,y=663.5,x=-5.4},x=-6..-4,y=600..666);
> plot(x^3-x^2-100*x+310,x=5..7);
> implicitplot({y=x^3-x^2-100*x+310,x=6.11,y=-110.3},x=5..6.5,y=-90..-115);
No. 6
> fsolve(x^3-x^2-100*x+310);
No. 1
> Sum('((-1)^(k+1))*1/k', 'k'=1..12);
> sum('((-1)^(k+1))*1/k', 'k'=1..12);
No. 2
> expand(((3*x-y+5*z)^2)*((x+3*y-z)^2));
No. 3
> factor(2*x^6+3*x^5-63*x^4-55*x^3+657*x^2+216*x-2160);
No. 4
> solve(7*x^4-59*x^3+19*x^2+166*x-1008);
> fsolve(7*x^4-59*x^3+19*x^2+166*x-1008);
No. 5
> y:=x^3-x^2-100*x+310;
> plot(y, x=-15..15);
No. 7
> restart;
> with(plots):
implicitplot({y=x^3-x^2-100*x+310,y=663.5,x=-5.4},x=-6..-4,y=600..666);
> plot(x^3-x^2-100*x+310,x=5..7);
> implicitplot({y=x^3-x^2-100*x+310,x=6.11,y=-110.3},x=5..6.5,y=-90..-115);
No. 6
> fsolve(x^3-x^2-100*x+310);
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