Consider as the curve given by the semicircle of radius two in the upper half plane. Give the standard orientation (counter clockwise). What is the average value of on .
I'm not even sure where to start. Could I get some help, please?
Consider as the curve given by the semicircle of radius two in the upper half plane. Give the standard orientation (counter clockwise). What is the average value of on .
I'm not even sure where to start. Could I get some help, please?
I think I know what to do magically now that I posted the question. I need to come up with some parametric form for C, so C is x(t) = 2cos(t) and y(t) =2sin(t)> from t=0 to t=pi/4 Now I write everything in terms of the parametrization (that's a word spell checker!) f(x(t), y(t)) = 2cos(t)+ 2sin(t) + 2 and take the integral of that from 0 to 2pi with respect to t. Now I'm not sure what I need to do to get the average of that integral? Divide it by 2pi?