Area Between Two Curves Calculator An area between two curves can be calculated by integrating the difference of two curve expressions. The upper and lower limits of integration for the calculation of the area will be the intersection points of the two curves. The area is always the 'larger' function minus the 'smaller' function.

• Given a set of parametric equations for a curve and a point on the curve, find the slope of the line tangent to the curve at that point and the equation of the tangent line at that point. • Given a set of parametric equations for a curve, find the area of a region bounded by the curve using the techniques of Chapter 5 and the substitution ...

May 05, 2014 · Thus the area under the curve ranges from 1, corresponding to perfect discrimination, to 0.5, corresponding to a model with no discrimination ability. The area under the ROC curve is also sometimes referred to as the c-statistic (c for concordance). The area under the estimated ROC curve (AUC) is reported when we plot the ROC curve in R's Console.

You can use the TI-83 Plus graphing calculator to find the derivative (dy/dx, dy/dt, or dx/dt) of a pair of parametric equations at a specified value of T: Graph the parametric equations in a viewing window that contains the specified value of T. If you want to get a viewing window that contains the specified […]