Question: Find the plane z = a + fix + yy that best approximates the following functions on the square S = {-1 ¤ x ¤

Find the plane z = a + fix + yy that best approximates the following functions on the square
S = {-1 ‰¤ x ‰¤ 1, -1 ‰¤ y ‰¤ 1
using the L2 norm
ISI = [[, 150 IF (x. y)l² dx dy

to measure the least squares error:
(a) x2 + y2
(b) x3 - y3
(c) Sin π y sin π y

ISI = [[, 150 IF (x. y)l dx dy

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