X 1. Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x)=e-x at...

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X 1. Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x)=e-x² at the nodes xo = -1, x1= 0 and x2 =1. Further, find the value of p2(-0.9) (use 6-digit rounding). Compare the value with the true value f(-0.9) (use 6-digit rounding). Find the percentage error in this calculation. 2. Find the Newton form of interpolating polynomial for the data -3 -30 and interpolate the following values f(-2), f(1), (2), f(4). -1 -22 0 -12 3 330 X 1. Find the Lagrange form of interpolating polynomial p2(x) that interpolates the function f(x)=e-x² at the nodes xo = -1, x1= 0 and x2 =1. Further, find the value of p2(-0.9) (use 6-digit rounding). Compare the value with the true value f(-0.9) (use 6-digit rounding). Find the percentage error in this calculation. 2. Find the Newton form of interpolating polynomial for the data -3 -30 and interpolate the following values f(-2), f(1), (2), f(4). -1 -22 0 -12 3 330

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2 To find the Newton form of interpolating polynomial for given data we can use the following Pytho... View the full answer