hey guys, i've been asked to consider the helix:
r(t) = 4cos(pi x t)i + 3sin(pi x t)j + tk
where i, j and k are unit vectors in the x, y and z planes respectively and t is a parameter. i need to sketch it and calculate its length from (-4,0,1) to (0,3,5/2).
any help would be greatly appreciated
where A = (25(pi^2)/2) - (7(pi^2)/2)xcos(pi x 2t) + 1)
that's how far i've got it down to, now im just not sure how to integrate
obviously i don't completely understand how to write integrals, so that's the best i can give you... i'm also pretty unsure of this answer, because when i integrate it and sub in the values i get a two fractions where i divide by zero, so i think i must be wrong...
As far as I can see, you need to calculate ........
You will not have much luck getting an exact answer, I'm afraid.
Does this question require an exact answer? I doubt it very very much as it will involve the elliptic integral of the second kind. I suggest you ask your Monash lecturer or tutor what answer is required .....