Please help its not a easy question?

Question

Hi all i cant solve this one
i got this function
F(x)=2x^4 -4x^2 +1
I draw it see link
http://gfdrxxx.tripod.com/a.jpg......

The question is this i wanna know the outline from A B C how do i calculate that?

Answer 1

You have posted EIGHT copies of this question. It's a good idea to only post a question once. Flooding the place with 8 copies of the same question might be considered spam, and I don't want you to get in trouble.

What you want is called the arc length.
http://en.wikipedia.org/wiki/Arc_length

To do this problem, you require calculus. Also, you haven't been very specific about what points A, B, and C are. I will take

A = (-1 , -1)
B = (0 , 1)
C = (1 , -1)

You will have to compute the following integral:
http://math.colgate.edu/~kellen/interspace/arclength.gif

However, that integral cannot be computed by elementary means. Not all integrals can be done (most can't). An approximation can be found, using a variety of methods.

It is approximately 6.24418.

Answer 2

Your picture does not show up so we don't know what A,B,C refer to.

The graph looks like a w and has 4 real irrational roots. It has two relative minimums and one relative maximum.Th y-intercept is (0,1). The zeroes are at x = +/- sqrt(2+ .5sqrt(2)) and x = +/- sqrt(2-.5sqrt(2)).

Sorry could not see picture.

Answer 3

i can't see your picture