Friday

February 27, 2015

February 27, 2015

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

**Answer this Question**

**Related Questions**

math - The main span of a suspension bridge is the roadway between the bridge's ...

Math stem question - The main span of a suspension bridge is the roadway between...

Algebra 1 - A scale model of the Golden Gate Bridge in San Francisco Bay has a ...

math - The longest steel arch bridge is the new river gorge near fayetteville,...

Writing - How can I end this? ____ The bridge I made a model of is the Sydney ...

algebra - You live near a bridge that goes over a river. The underside of the ...

algebra - You live under a bridge that goes over a river. the underneath side of...

algebra - You live under a bridge that goes over a river. the underneath side of...

algebra - You live near a bridge that goes over a river. The underside of the ...

Math - trigonometry - A bridge is 70m long. From the ends of the bridge the ...