Find the average value of the function over the plane region . and is the triangle with vertices (0, 0), (0, 1) and (1, 1).
D)e

Question

Find the average value of the function  over the plane region  .  and  is the triangle with vertices (0, 0), (0, 1) and (1, 1).
D)e

Quizplus · Accepted Answer

By evaluating the double integral of the function over the triangular region and dividing by the area of the triangle, we can find the average value of the function. Using standard techniques of integration, we find that the double integral evaluates to 5/6, and the area of the triangle is 1/2. Therefore, the average value of the function is (5/6)/(1/2) = 5/3. The answer choice that matches this value is C.

Find the Average Value of the Function Over the Plane