Show transcribed image text Exercise. Compute the degree 2 Taylor polynomial for centered at (0, 0). Start by making a table of partial derivatives along with their value when evaluated at (0, 0): F(0,0)= 1 F(1,0) (0,0)= F(0,1) (0,0)= F(2,0)(0,0)= F(0,2) (0,0)= 0 F(1,0) (2,3)= F(0,1) (x,y)= F(2,0) (x,y)= F(0,2) (2,3)= ye^(xy) xe^(xy) y^2e^(xy) x"2e^(xy) 0 0 0 The degree 2 Taylor polynomial is: Po(x,y)= 1+xy
Exercise. Compute the degree 2 Taylor polynomial for centered at (0, 0). Start by making a table of partial derivatives along with their value when evaluated at (0, 0): F(0,0)= 1 F(1,0) (0,0)= F(0,1) (0,0)= F(2,0)(0,0)= F(0,2) (0,0)= 0 F(1,0) (2,3)= F(0,1) (x,y)= F(2,0) (x,y)= F(0,2) (2,3)= ye^(xy) xe^(xy) y^2e^(xy) x"2e^(xy) 0 0 0 The degree 2 Taylor polynomial is: Po(x,y)= 1+xy
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