Find the arc length function for the curve y = 2x3/2 with starting point p0(25, 250).

We can calculate this using arc length formula.

The first step is to find the derivative of the given function.


Now we plug this back into original integral.

We solve this integral using substituition u=9x+1. This way we end up solving elementary integral.
A final solution is:

Finaly we get that arc lenght is:

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c