Timothy is re-arranging his marble collection.he has five identical blue marbles,five identical green marbles and three identica
2 answers:
You might be interested in
Answer:
Yes
Step-by-step explanation:
Using Pythagorean theorem WHICH ONLY WORKS FOR RIGHT TRIANGLES,
a^2+b^2=c^2 where a and b are the two shortest legs.
12^2+35^2=c^2
144+1225=c^2
c^2=1369
c=
c=37
Answer:
(A) with
.
(B) with
(C) with
(D) with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then . With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain . Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).