Find the area of the surface given by z fxy over the region
Find the area of the surface given by z = f(x,y) over the region R
f(x,y) = 15+2x-3y
R: square with vertices (0,0), (3,0), (0,3), (3,3)
f(x,y) = 15+2x-3y
R: square with vertices (0,0), (3,0), (0,3), (3,3)
Solution
let side vectors : (0,0,15) b vector = (3 ,0,21) c vector = (0,3 , 6) ab vector = (3 , 0 , -6) ac vector = (0 ,3 ,-9) area of parallelogram i j k 3 0 -6 0 3 -9 i[18] -j[-27] + k[9] = sqrt[1134] area of other trianlge