Let f(x)=x+ex. The nodes are x0=0,x1=0.5,x2=1, and x3=1.5. (a) (1 mark) Using hand calculations complete the following table (b) (2 marks) Use Matlab to find lagrange polynomial P3(x) using the above table (c) (2 marks) Use Matlab to find Newton polynomial P3(x) using the above table Let f(x)=x+ex. The nodes are x0=0,x1=0.5,x2=1, and x3=1.5. (a) (1 mark) Using hand calculations complete the following table (b) (2 marks) Use Matlab to find lagrange polynomial P3(x) using the above table (c) (2 marks) Use Matlab to find Newton polynomial P3(x) using the above table