THe graph of y = f (x) passes through the origin. the arc length of the curve from (0,0) to (x, f(x)) is given by s(x) = (integral from a to x) of the square roote of 1 + e ^ t dt... Identify the function f.

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- December 14th 2008, 05:12 PM09AshawCalc: Problem Solving
THe graph of y = f (x) passes through the origin. the arc length of the curve from (0,0) to (x, f(x)) is given by s(x) = (integral from a to x) of the square roote of 1 + e ^ t dt... Identify the function f.

- December 14th 2008, 08:26 PMmr fantastic
- December 14th 2008, 08:44 PMSoroban
Hello, 09Ashaw!

Quote:

The graph of passes through the origin.

The arc length of the curve from to is given by: .

Identify the function

So we know that: .

Integrate: .

Since the graph contains the origin , we have: .

. . Therefore: .