Question

simplify the radical, radical(4t^2+4t^4+1)

Answer 1

Factor :)

Answer 2

\[
4t^2+4t^4+1=4t^4+2t^2+2t^2+1=2t^2(2t^2+1)+1(2t^2+1)=(2t^2+1)^2
\]

Answer 3

^ he is right. Another solution would be to represent t^2 as a
It will simplify the equation to 4a^2 + 4a + 1
the factor would be (2a+1)^2
so substitute the real value of a which is t^2
it will be (2t2+1)2

Answer 4

you guys are genius

Answer 5

What was your final answer?

Answer 6

well the question was to find the tangential unit vector, r(t)=<t^2,2/3 t^3, t>

Answer 7

Oh I see.

Answer 8

Using it for a line integral, or just something else?

Answer 9

forgot about factoring lol. uhm, curvature. its a quiz problem says to find t(t) and n(t)