(i) Compute the second degree Taylor polynomial of the function around (1, 1). f(x, y) =...

      

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(i) Compute the second degree Taylor polynomial of the function around (1, 1). f(x, y) = e-y (ii) Compute the second degree Taylor polynomial of the function around x = . f(x)=sin(x) (iii) The second degree Taylor polynomial of a certain function f(x, y) around (0,1) equals 1-4x2 2(y-1)+3x(y-1). Can the point (0, 1) be a local minimum for f? How about a local maximum? (i) Compute the second degree Taylor polynomial of the function around (1, 1). f(x, y) = e-y (ii) Compute the second degree Taylor polynomial of the function around x = . f(x)=sin(x) (iii) The second degree Taylor polynomial of a certain function f(x, y) around (0,1) equals 1-4x2 2(y-1)+3x(y-1). Can the point (0, 1) be a local minimum for f? How about a local maximum?