2) Evaluate surface z dv where E is the region enclosed by the Z = x² + y² and the plane Z = 1

3. Let a > 0 and h > 0. Consider the triangular region R whose vertices are (0,0), (a,0), and (0,h). (a) Find a formula for the line that represents the hypotenuse of the triangle. (b) Show that the center of gravity of R is (a/3, h/3). (The center of gravity of R turns out to be the centroid of the triangle. However, you need to find the center of gravity of R in this problem by the method of Section 6.5.)

Find the area of the surface f(x,y)=1+ x +y over the circular domain R= {(x,y): x+ y² < 4}.

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Parameterize the portion of the surface f (x, y) =x² + y² that lies below the plane y +z = 1.