3. (3p.+ 3p. + 2p.) Consider the function g: R2 + R2 given by 1 - exay if (x, y) = (0,0) x2 + y2 Foxy) g(x,y) (0,0) if (
Posted: Thu May 12, 2022 8:03 am
- 3 3p 3p 2p Consider The Function G R2 R2 Given By 1 Exay If X Y 0 0 X2 Y2 Foxy G X Y 0 0 If 1 (66.42 KiB) Viewed 23 times
3. (3p.+ 3p. + 2p.) Consider the function g: R2 + R2 given by 1 - exay if (x, y) = (0,0) x2 + y2 Foxy) g(x,y) (0,0) if (x, y) = (0,0). = (a) Decide if g is continuous at (0,0). (b) Decide if the partial derivatives of g exist at (0,0); if the answer is affirmative, then compute them. (c) Decide if g is differentiable at (0,0); if the answer is affirmative, then find Dg(0,0).