Today in class, we learned about Arc Length. Since we know the length of a line segment is equal to the square root of (change in x squared plus change in y squared), we can multiply that formula by 1 in the form of change in t over change in t to get the formula for arc length. This formula turns out to be the integral from t1 to t2 of the square root of (dv/dt)^2 + (dy/dt)^2. We can now use this formula to find the arc length of an integral for parametric equations.
Wednesday, February 17, 2010
Arc Length
Today in class, we learned about Arc Length. Since we know the length of a line segment is equal to the square root of (change in x squared plus change in y squared), we can multiply that formula by 1 in the form of change in t over change in t to get the formula for arc length. This formula turns out to be the integral from t1 to t2 of the square root of (dv/dt)^2 + (dy/dt)^2. We can now use this formula to find the arc length of an integral for parametric equations.
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