Forel\303\246sning 3. kursusgangE & P opgave 12.7.5Pkkid0c2Ii1JI2xuR0YkNiMsKCokSSJ4R0YkIiIjIiIiKiRJInlHRiRGK0YsKiRJInpHRiRGK0YsPkkjd3hHNiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkSSJ3R0YkSSJ4R0YkPkkjd3lHNiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkSSJ3R0YkSSJ5R0YkPkkjd3pHNiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkSSJ3R0YkSSJ6R0YkPkkieEc2IiwmSSJzR0YkIiIiSSJ0R0YkISIiPkkieUc2IiwmSSJzR0YkIiIiSSJ0R0YkRic=Pkkiekc2IiwkLUklc3FydEdGJDYjKiZJInNHRiQiIiJJInRHRiRGKyIiIw==LCgqJkkjd3hHNiIiIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkSSJ4R0YlSSJzR0YlRiZGJiomSSN3eUdGJUYmLUYoNiRJInlHRiVGLEYmRiYqJkkjd3pHRiVGJi1GKDYkSSJ6R0YlRixGJkYmLUkpc2ltcGxpZnlHNiI2I0kiJUdGJA==JSFHSSJ3RzYiLUkpc2ltcGxpZnlHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kid0dGJw==LUklZGlmZkclKnByb3RlY3RlZEc2JEkiJUc2Ikkic0dGJw==LUkpc2ltcGxpZnlHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kiJUdGJw==JSFHJSFHJSFHudtryk og funktionerrestart;UDTRYKr:=(x^2+1)/(x^2-1);r(2);ikke en funktioneval(r,x=2);subs(x=2,r);subs(x^2=x^3,r);FUNKTIONf:=x->(x^2+1)/(x^2-1);f(2);f(x);f(x+2);simplify(%);g:=unapply(%,x);g(4);Gr\303\246nsev\303\246rdirestart;r:=2*x/(3*x+1);Limit(r,x=infinity);value(%);limit(r,x=infinity);limit(r,x=-infinity);LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiP0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==f:=x->cos(x)/(x-Pi/2);f(1);f(Pi/2);Limit(f(x),x=Pi/2);value(%);plot(f);Datastrukturer, f\303\270lger, lister, m\303\246ngderrestart;whattype(34);whattype(x);whattype(x+y);p:=x^9-3*x^8-29*x^7+50*x^6+325*x^5-193*x^4-1581*x^3-358*x^2+2580*x+1800;L:=solve(p=0);whattype(L);lst:=[L];whattype(lst);mgd:={L};whattype(mgd);nops(lst);nops(mgd);L[4];lst[4];mgd[4];op(4,lst);convert(mgd,list);op(mgd);[%];L;map(sin,[L]);map(evalf,[L]);%[1];whattype(%);LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiP0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==x^3-x*y-2*y*x^2+2*y^2;L:=solve(%);whattype(L);L[1];whattype(%);L[1][1];whattype(%);Forfor k from 1 to 4 do
k^2
end do;10!;fakultet:=1;for i from 1 to 10 do
fakultet:=fakultet*i
od;K:=0:
for k from 1 to 5 do
K:=K,k^2;
od:
K;LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVEiP0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==F:=plot(x^2,x=-3..3,colour=red):Tangenten i punktet (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiM2Ji1GLDYjUSFGJy1JJW1zdXBHRiQ2JUYrLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRlJGOUZSRjk=) har ligning 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.for k from -3 to 3 by 2 do
F:=F,plot(2*k*x-k^2,x=k-1/2..k+1/2,colour=blue):
od:whattype(F);F;with(plots):
display(F);JSFHConvertLUkoY29udmVydEclKnByb3RlY3RlZEc2JDcmIiIiIiIlRiciIiRJJHNldEdGJA==LUkoY29udmVydEclKnByb3RlY3RlZEc2JEkiJUc2IkklbGlzdEdGJA==JSFHLUkoY29udmVydEclKnByb3RlY3RlZEc2JEkjUGlHRiRJKGRlZ3JlZXNHNiI=LUkoY29udmVydEclKnByb3RlY3RlZEc2JCwkSShkZWdyZWVzRzYiIiQhPUkocmFkaWFuc0dGKA==JSFHLUkoY29udmVydEclKnByb3RlY3RlZEc2JCIkIT1JJnJvbWFuRzYi