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December 20, 2014

December 20, 2014

Posted by **Anon** on Thursday, July 31, 2014 at 6:54pm.

I have no clue how to get the equation! I can probably get the rest of it on my own! Thanks!

- AP Calc -
**Steve**, Thursday, July 31, 2014 at 7:02pmlet the center of the cable be at (0,220). That becomes the vertex of the parabola, so the equation is

y = ax^2+220

Since y(2100) = 750, that means that

a*2100^2 + 220 = 750

a = 530/2100^2 = 0.00012

So, we now know that the height

y = 0.00012x^2 + 220

Now, we know

y' = 0.00024x

To find the length of one side of the cable, just take

∫[0,2100] √(1+(0.00024x)^2) dx = 2186 ft

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