Theory and ExamplesLet Duƒ denote the derivative of in the
Chapter 15, Problem 22AAE(choose chapter or problem)
Problem 22AAE
Theory and Examples
Let Duƒ denote the derivative of in the direction of the unit vector u = u1 i + u2 j.
a. Finding average value Find the average value of Duƒ over the triangular region cut from the first quadrant by the line x + y = 1.
b. Average value and centroid Show in general that the average value of Duƒ over a region in the xy-plane is the value of Duƒ at the centroid of the region.
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